Morality is totally in the eye of the beholder

The most obvious and topical examples of this truism are the behaviours of members of IS towards ‘outsiders’. But this post is not about IS; nevertheless, it is about a clash of cultures – in this case a clash of ‘old’ versus ‘new’ in the same society, which happens to be India.

Last night I saw a documentary, 2 years in the making, by British filmmaker, Leslee Udwin, called India’s Daughter about the rape and murder of Jyoti Singh in December 2012 – a crime at once so brutal and primal that it shocked the entire civilised world. The film was due to be broadcast worldwide on International Women’s Day in March, including India, but the Indian Government unexpectedly banned the documentary from being shown in the country, ‘claiming it was an affront to women’ (according to the ABC). This about-face on the part of the Indian Government is not so surprising when the documentary itself reveals the schism that exists in Indian society on the issue of women’s roles and women’s rights.

This blog is seen and read all over the world, including India, so I hope that Indians do indeed read this, especially since they were not allowed access to the documentary.

I’ve written before that morality for most people is determined by social and cultural norms, hence the title of this post. I’ve read many articles and essays that attempt to provide a meta-ethics or an objective morality, but experience and observation suggest that culture is the overriding factor in determining someone’s personal moral compass. This incident demonstrates how 2 conflicting cultural norms can lead to tragic and fatal consequences for an individual. Written in that language, one might consider that the 2 opposing cultural norms may have equal validity, but, when it leads to a crime, comparable in nature to Jack the Ripper’s, it’s hard to maintain that relativist position.

I’ve argued previously that moral relativism is an impossible position to hold because no one can hold or defend opposing moral viewpoints. This documentary is a case in point, because, whilst it demonstrates that one’s moral viewpoint is indeed in the eye of the beholder, it also demonstrates that 2 opposing moral viewpoints cannot be sustained.

Jyoti Singh was an only daughter of a poor family who put herself through university to earn a degree in medicine, whilst working in a call centre, managing on 3-4 hrs sleep per night. So she’s an extraordinary modern success story, an inspiration for any young woman wanting to pursue a career in whatever field; but becoming a doctor, given her circumstances, is an especially outstanding achievement.

She had earned her degree and was about to start her 6mth internship the following Monday. Knowing that she would have little free time, she went to see a movie with a male friend on the Sunday night – they went and saw Life of Pi. Nothing could be more ‘ordinary’. I have seen that movie and it gave a particular resonance, because no one expects that, after being entertained by a celebrated movie, they would be murdered on their way home.

But this is where we have a clash of cultures because she was trapped on a bus with a pack of animals(6) who not only raped her but disembowelled her. I use the term ‘pack of animals’ because they were not human. No human could do that to another human. In committing that act, they gave up all rights to be called human.

The documentary includes interviews with the driver of the bus and the 2 lawyers who defended the gang. These interviews, more than anything else, reveal the cultural schism that I referred to earlier, because they all defended the gang and blamed the girl – that’s their moral perspective based on their cultural norms.

The driver maintained that he didn’t partake in the ‘incident’ (he just drove the bus), which at one point he corrects himself and calls an ‘accident’, yet he defends the actions of the others and goes so far as to say, that in the case of rape, ‘the girl is more responsible than the boy’. What’s more, he argues that she shouldn’t have fought back, then she wouldn’t have been harmed. In other words, even the fatal wounds she suffered were her own fault. But he also, tellingly, said it was a ‘message’, implying that she had forfeited all rights to her dignity and her life by going to a movie with a male friend.

The truth is that he knew nothing about her: he didn’t know that she was a recently qualified doctor or the sacrifices she had made to earn that qualification or that she had a future that he could never even dream about. No, she had no value as a human being because, in his eyes and those of his partners-in-crime, she had no self-respect. It was obvious from conversations with the filmmaker that he considered rape to be a normal activity. A prison psychiatrist related that they believed they had the ‘right to enjoy themselves’. Whereas others enjoyed themselves using money they did so with their ‘courage’ and that legitimised it in their minds. What strikes one straightaway is that the girl’s enjoyment is irrelevant – in fact, implicit in this rationalisation is the belief that her suffering: physical, emotional, psychological; actually contributes to their enjoyment.

But this admission highlights another problem in a society like India’s. There is effectively no outlet for normal sexual appetites for young men because of their strict moral approbations towards women, and this is what makes rape a normal and acceptable activity in the eyes of those who practice it. What’s more, as the bus driver points out, it’s easy to justify when it’s the girl’s own fault.

But whilst the defensive arguments of the bus driver were understandable if impossible to empathise with, the arguments of the 2 lawyers beggared belief. One lawyer, to distinguish him from the other, I will call the ‘unctuous’ lawyer – the other lawyer didn’t even deserve the title, human being, but I will come to that later.

The unctuous lawyer described a woman as something precious like a flower or a jewel that needed to be protected. In ‘our culture’, to use his own words, she is not allowed outside the home. But this is a contradiction because a person who is not allowed to interact with the outside world has no value whatsoever, except of course to be a servant to her husband and a mother to her children. So she’s a ‘jewel’ or ‘flower’ who should never be seen in public. He blames ‘filmy’ culture because it portrays women as independent (he didn’t say that but it was implied) which, in his mind, is a fantasy. And although he never says it, it’s a corollary to his viewpoint that a woman should never use her brain to become a doctor or a lawyer (like himself). So a woman can be ‘precious’ as long as she’s never seen and as long as she makes no attempt to use her brain as a man can.

But the second lawyer publicly stated on TV that if he had a sister or a daughter who committed ‘adultery’, he would pour petrol on her and set fire to her in front of the entire family. That’s his mentality. A person, who publicly admits that he would burn his sister or daughter alive, doesn’t deserve the title, human being. And he’s a lawyer. Does he consider then, that a young single woman going to a movie with her boyfriend is tantamount to committing adultery?

One can’t watch this documentary without feeling the pain of the parents and without contemplating the senseless waste of a young life that had so much promise. The mother, when discussing her daughter’s situation, having just earned her degree and on the brink of starting a career as a doctor, made the following statement: ‘It seems that God didn’t like this. He ended everything.’ Implicit in this statement is a belief that God was punishing her and her daughter for daring to follow an independent career. It is not surprising that people feel a perverse sense of guilt when they lose someone so close to them. Also, just before dying, her daughter apologised for ‘all the trouble she had caused’ – her last words, apparently. This is the culture that India has imparted onto its women: that they take the burden of responsibility and guilt, whilst those who commit the most heinous crime see no wrong in what they’ve done. It’s an upside down perverse sort of morality.

Young people, from universities mostly, protested for over a month, despite being subjected to tear gas and fire hose dowsing by police. And this is probably why the film has been banned, because the protests could easily start anew. But a consequence of the protests was that the government set up a panel to review rape laws and make recommendations. One of the members of the panel, Leila Seth, a woman and former Chief Justice, held hope that young people would challenge and ultimately change the culture, which is the only long term solution. She made the logical and true statement that the key was the education of women, because only then would women attain a sense of self-worth that men would also value and acknowledge.

Emmy Noether's birthday today

Google has honoured Emmy Noether's birthday. Few people know who she is but, amongst other contributions to mathematics, she proved a theorem, known as Noether's theorem, that underpins all of physics because it deals with symmetry and conservation laws of energy and momentum.

The mathematics is well over my head, but I appreciate its ramifications. Basically, it deals with the mathematical relationships between symmetry in space and conservation of momentum, symmetry in time and conservation of energy and symmetry of rotation and conservation of angular momentum. This applies in particular to quantum mechanics, though conservation laws are equally relevant in relativity theory.

Symmetry, in this context, is about translation: translations in space, translations in time and translations in rotation. Richard Feynman gives a good exposition in Six Not-So-Easy Pieces, where I came across it for the first time, and he describes it thus: ...a most profound and beautiful thing, is that, in quantum mechanics, for each of the rules of symmetry there is a corresponding conservation law; there is a definite connection between the laws of conservation and the symmetry of physical laws.

You can read about it in some detail in Wikipedia, though I confess it's a bit esoteric.

Noether died relatively young in America at age 53, 2 years after escaping Nazi Germany, and Einstein wrote a moving tribute to her in the New York Times (1935). Physicists, Leon M. Lederman and Christopher T. Hill, in Symmetry and the Beautiful Universe, give the following accolade: “..certainly one of the most important mathematical theorems ever proved in guiding the development of modern physics…”

The sad part about her story is that she is virtually unknown and was not given due recognition in her own time, simply because she was a woman.

Addendum: It's also 100 years since Noether developed her seminal theorem - the same year that Einstein developed his General Theory of Relativity, incorporating gravity.

Citizenfour - aka Edward Snowden

I saw this Oscar-winning movie last weekend, and, tellingly, despite very recently winning the Oscar for Best Documentary, it’s only being shown in one cinema in the whole of Melbourne. And yet everyone with internet access should watch this movie, because its message affects all of us.

For those living under a rock, Edward Snowden famously revealed that the US is capturing all our on-line activities and mobile phone calls, even though, as revealed in the film, various representatives of the government had been openly denying this (even under oath) for some time. The closest we get to acknowledgement is when someone says, in a Senate Committee Hearing, in response to this very question about accessing people’s digital communications: “Not willingly.” Reading between the lines, one could conclude that it could happen ‘accidentally’, which suggests a couple of options: the information is available if they want to access it; or they might accidentally access someone’s data whilst trying to access someone else’s, whom they can legitimately target (via a court order or whatever judicial process is required). As it turns out, thanks to Snowden’s expose, we know it’s the first option.

Ethically, there are 2 distinct but related issues implicit in the same movie. Are the American Government’s activities in this regard, ethical, and is it ethical for Snowden to use his position of privileged information to break his Government’s trust (as well as the law) by revealing them to the rest of the world?

There is a third ethical issue, entwined with the previous 2: is it ethical for the American Government to pursue Snowden with the full force of its law, treating him, effectively, as a traitor and a spy (they are charging him under the espionage act)?

Let’s deal with the first ethical issue first; after all, it’s the one that triggered the other two. As pointed out in the movie, this ‘action’ on the part of the American Government is a consequence of 9/11 and the threat of terrorist attacks anywhere in the Western world. It’s also pointed out in the movie that England have even more comprehensive measures than the US, regarding tracking everyday digital information of its own citizens.

On the same day I saw this film, I heard a news bulletin that here in Australia, the Government is currently debating a bill requiring internet providers to keep all user activity (in Australia) for however many years (I don’t know if there’s a limit). Interestingly, the only proviso the Opposition suggested is that journalists be protected in order to protect their sources. This is a very important point, because it’s only journalists that can keep politicians honest, and journalists’ roles in providing a conduit for Snowden’s ‘leak’ was crucial to his expose. I’ve said before that the health of a democracy can be measured by the freedom that journalists are allowed in criticising their elected leaders. Keeping sources ‘secret’ has been critical (at least, in Australia) in allowing journalists that particular freedom.

There are similarities between this documentary and the not-so-recent movie, Kill the Messenger, because, in both cases, someone exposed the Government or the Government’s agents in activities that the public were unaware of, and, in both cases the Government, or its agencies, effectively destroyed the whistleblowers’ lives.

But this parliamentary debate taking place in Australia reveals an ethical distinction, which, in my view, is worth noting. In Australia, because it has to be passed as Parliamentary law, it cannot be done without the public’s awareness, and, I feel, this is where the American Government went wrong. I don’t have an issue with them keeping all my digital data, most of which, like this blog, is freely available to the public anyway. And I understand how such data is crucial to stopping terrorist attacks, so, as long as the data capture is not used to persecute me personally, I have no problem.

Having said that, the movie points out how data collection on a nation’s citizens is a first step in controlling or oppressing that citizenry. So, hand in hand with this action is an essential ‘trust’ that it will be used only for spoiling terrorist attacks and that the essential democratic character of the nation won’t be compromised in the process. In some ways, this is a moot point because, after watching this film, I couldn’t help but feel that this will never be reversed. We already live in a quasi-Orwellian environment where our entire lives can be tracked digitally, if someone so requires. We effectively have no secrets regarding our on-line activity (including mobile phone communications).

Towards the end of the movie, there is a news clip of President Obama saying that we needed ‘to have this debate’, implying that it could have occurred without Snowden’s revelations. However, this is contradicted by earlier video footage (alluded to above) that, even under oath, no one was going to admit to this whilst the public remained ignorant.

And this brings to the fore Snowden’s ethics. There are some similarities here between Snowden and Assange, both of whom are now living in exile, because both had sensitive material that embarrassed the American Government in particular. However, Snowden is probably more like Chelsea (Bradley) Manning, who had access to and leaked the relevant files, in that both men acted on their conscience at considerable personal cost.

But, in the case of Snowden, he demonstrates neither the naivety of Manning nor the ego of Assange. It is clear from the outset that Snowden understood fully the consequences of his actions, and is remarkably calm throughout his entire dealings with the specific journalists he colluded with in order to make public what the American Government preferred to remain covert. This is the crux of the issue for me: not that the American Government is collecting all our communications data, but that they did it behind our backs and are now enraged that some individual dared to let everyone know.

There is some irony that Snowden now lives in exile with his partner in Russia, a country not renown for honouring freedom of speech or freedom of the press. If Snowden had done to Russia, what he’s done to America, he probably would have been assassinated. As it is, in America, they will lock him up and throw away the key, just like they’ve done to Manning, assuming they ever catch him.

Today is π Day

I only found about this yesterday, via COSMOS online. Actually, it's Pi Day tomorrow in the US where it originated because, using American date nomenclature, March 14 (3/14) gives the first 3 digits of pi. But this year is special because the date is 3/14/15, which are the first 5 digits and it will be the only time in the whole century.

π, as everyone knows, is the ratio of the circumference of a perfect circle to its diameter, irrespective of the size of the circle. But it's a very nerdy number, because it turns up in the most unexpected places, like quantum mechanics and Euler's famous formula: e^iπ  + 1 = 0; earning the sobriquet, 'God's own equation'. A simple derivation can be found here.

Pi is the best known so-called transcendental number and, of course, it has an infinite string of digits that appear to be truly random (refer COSMOS link above). COSMOS also explain that if you toss a coin 2n times, and n is large enough, then the probability of getting equal number of heads and tails is 1/√(nπ). Mathematics contains many hidden formulae like this that give unexpected relationships relevant to the real world.

Addendum: It should be pointed out that today is also Albert Einstein's birthday and this year is the centenary of his masterpiece, the General Theory of Relativity, not to be confused with the Special Theory, which he penned 10 years earlier in 1905.

Chaos – nature’s preferred means of evolution and dynamics

Ian Stewart is a highly respected mathematician and populariser of mathematics. He has the rare ability to write entire books on the esoteric side of mathematics with hardly an equation in sight. The ‘new edition’ of Does God Play Dice? has the subtitle, The New Mathematics of Chaos, and that’s what the book is all about.  The first edition was published in 1989, the second edition in 1997, so not that new any more. Even so, he gave me more insights and knowledge into the subject than I knew existed. I’d previously read Paul Davies’ The Cosmic Blueprint, which does a pretty good job, but Stewart’s book has more depth, more examples, more explanations and simply more information. In addition, he does this without leaving me feel stranded in the wake of his considerable intellect.

For a start, Stewart puts things into perspective, by pointing out how chaos pervades much of the natural world – more so than science tends to acknowledge. In physics and engineering classes we are taught calculus and differential equations, which, as Stewart points out, are linear, whereas most of the dynamics of the natural world are non-linear, which make them ripe for chaotic analysis. We tend to know about chaos through its application to systems like weather, fluid turbulence, population dynamics yet its origins are almost purely mathematical. Throughout the book, Stewart provides numerous examples where the mathematics of chaos has been applied to physics and biology.

Historically, he gives special attention to Poincare, whom he depicts almost as the ‘father of chaos’ (my term, not his) which seems appropriate as he keeps returning to ‘Poincare sections’ throughout the book. Poincare sections are hard to explain, but they are effectively geometrical representations of periodic phenomena that have an ‘attractor’.  That’s an oversimplification, but ‘attractors’ are an important and little known aspect of chaos, as many chaotic systems display an ability to form a stable dynamical state after numerous iterations, even though, which particular state is often unpredictable. The point is that the system is ‘attracted’ to this stable state. An example, believe it or not, is the rhythmic beat of your heart. As Stewart explains, ‘the heart is a non-linear oscillator’.

Relatively early in the book, he provides an exposition on ‘dynamics in n-space’. Dimensions can be used as a mathematical concept and not just a description of space, which is how we tend to envisage it, even though it’s impossible for us to visualise space with more than 3 dimensions. He gives the example of a bicycle, something we are all familiar with, having numerous freedoms of rotation, which can be mathematically characterised as dimensions. The handle bars, each foot pedal as well as the wheels all have their own freedom of rotation, which gives us 5 at least, and this gives 10 dimensions if each degree of freedom has one variable for position and one for velocity.

He then makes the following counter-intuitive assertion:

What clinches the matter, though, is the way in which the idea of multi-dimensional spaces fit together. It’s like a 999-dimensional hand in a 999-dimensional glove.

In his own words: ‘a system with n degrees of freedom – n different variables – can be thought of as living in n-space.’ Referring back to the bicycle example, its motion can be mathematically represented as a fluid in 10 dimensional space.

Stewart then evokes a theorem, discovered in the 19th Century by Joseph Liouville, that if the system is Hamiltonian (meaning there is no friction) then the fluid is incompressible. As Stewart then points out:

…something rather deep must be going on if the geometric picture turns dynamics not just into some silly fluid in some silly space, but renders it incompressible (the 10-dimensional analogue of ‘volume’ doesn’t change as the fluid flows).

The reason I’ve taken some time to elaborate on this, is that it demonstrates the point Stewart made above – that an abstract n-dimensional space has implications in reality –  his hand-in-glove analogy.

Again, to quote Stewart:

I hope this brings you down to Earth with the same bump I always experience. It isn’t an abstract game! It is real!

Incompressibility is such a natural notion, it can’t be coincidence. Unless you agree with Kurt Vonnegut in Cat’s Cradle, that the Deity made the Universe as an elaborate practical joke.

The point is that the relationships we find between mathematics and reality are much more subtle than we can imagine, the implication being that we’ve only scratched the surface.

Anyone with a cursory interest in chaos knows that there is a relationship between chaos and fractals, and that nature loves fractals. What a lot of people don’t know is that fractals have fractional dimensions (hence the name) which can be expressed logarithmically. As Stewart points out, the relationship with chaos is that the fractal dimension ‘turns out to be a key property of an attractor, governing various quantitative features of the dynamics.’

I won’t elaborate on this as there are more important points that Stewart raises. For a start, he spends considerable time and space pointing out how chaos is not synonymous with randomness or chance as many people tend to think. Chaos is often defined as deterministic but not predictable which reads like a contradiction, so many people dismiss it out-of-hand. But Stewart manages to explain this without sounding like a sophist.

It’s impossible to predict because all chaotic phenomena are sensitive to the ‘initial conditions’. Mathematically, this means that the initial conditions would have to be determined to an infinitesimal degree, meaning an infinitely long calculation. However the behaviour is deterministic in that it follows a path determined by those initial conditions which we can’t cognise. But in the short term, this allows us to make predictions which is why we have weather forecasts over a few days but not months or years and why climate-forecast modelling can easily be criticised. In defence of climate-forecast modelling, we can use long term historical data to indicate what’s already happening and project that into the future. We know that climate-related phenomena like glaciers retreating, sea temperature rise and seasonal shifts are already happening.

This short term, long term difference in predictability varies from system to system, including the solar system. We consider the solar system the most stable entity we know, because it’s existed in its current form well before life emerged and will continue for aeons to come. However, computer modelling suggests that its behaviour will become unpredictable eventually. Jacque Laskar of the Bureau des Longitudes in Paris has shown that ‘the entire solar system is chaotic’.

To quote Stewart:

Laskar discovered… for the Earth, an initial uncertainty about its position of 15m grows to only 150m after 10 million years, but over 100 million years the error grows to 150 million kilometres.

So while chaos is 'deterministic', it's computably indeterminable, which is why it's 'unpredictable'. I've written another post on that specific topic.

In the last chapter, Stewart attempts to tackle the question posed on the front cover of his book. For anyone with a rudimentary knowledge of physics, this is a reference to Einstein’s famous exhortation that he didn’t believe God plays dice, and Stewart even cites this in the context of the correspondence where Einstein wrote it down.

Einstein, of course, was referring to his discomfort with Bohr’s ‘Copenhagen interpretation’ of quantum mechanics; a discomfort he shared with Erwin Schrodinger. I’ve written about this at length elsewhere when I reviewed Louisa Gilder’s excellent book, The Age of Entanglement. Stewart takes the extraordinary position of suggesting that quantum mechanics may be explicable as a chaotic phenomenon. I say extraordinary because, in all my reading on this subject, no one has ever suggested it and most physicists/philosophers would not even consider it.

I have come across some physicist/philosophers (like David Deutsch) who have argued that the ‘many worlds’ interpretation of quantum mechanics can, in fact, explain chaos. A view which I’m personally sceptical about.

Stewart resurrects David Bohm’s ‘hidden variables’ interpretation, preferred by Einstein, but generally considered disproved by experiments confirming Bell’s Inequality Theorem. It’s impossible for me to do justice to Stewart’s argument but he does provide the first exposition of Bell’s theorem that I was able to follow. The key is that the factors in Bell’s Inequality (as it’s known) refer to correlations that can be derived experimentally. The correlations are a statistical calculation (something I’m familiar with) and the ‘inequality’ tells you whether the results are deterministic or random. In every experiment performed thus far, the theorem confirms that the results are not deterministic, therefore random.

Stewart takes the brave step of suggesting that Bell’s Inequality can be thwarted because it relies on the fact that the results are computable. Stewart claims that if they’re not computable then it can’t resolve the question. He gives the example of so-called ‘riddled basins’ where chaotic phenomena can interact with ‘holes’ that allow them to find other ‘attractors’. Again, an oversimplification on my part, but as I understand it, in these situations, which are not uncommon according to Stewart, it’s impossible to ‘compute’ which attractor a given particle would go to.

Stewart argues that if quantum mechanics was such a chaotic system then the results would be statistical as we observe. I admit I don’t understand it well enough to confer judgement and I have neither the mathematical nor physics expertise to be a critical commentator. I’ll leave that to others in the field.

I do agree with him that the wave function in Schrodinger’s equation is more than a ‘mathematical fiction’ and it was recently reported in New Scientist that a team from Sydney claim they have experimentally verified its reality. But I conjecture that ‘Hilbert space’, which is the abstract space where the wave function mathematically exists, may be what’s real and we simply interact with it, but there is no more evidence for that than there is for the ‘multiple universes’ that is currently in favour and gaining favour.

Towards the very end of the book, Stewart hypothesises on how different our view of quantum mechanics may be today if chaos theory had been discovered first, though he’s quick to point out the importance of computers in allowing chaos to be exploited. But he makes this interesting observation in relation to the question on the cover of his book:

Now, instead of Einstein protesting that God doesn’t play dice, he probably would have suggested that God does play dice. Nice, classical, deterministic dice. But – of course – chaotic dice. The mechanism of chaos provides a wonderful opportunity for God to run His universe with deterministic laws, yet simultaneously to make fundamental particles seem probabilistic.

Of course, in the real world, dice are chaotic because the outcome of a throw is subject to the sensitivity of the initial conditions, which is the throw itself. The same with a coin toss. So each throw has its own initial conditions, which creates the randomness from throw to throw that we observe.

Of course, both Stewart’s and Einstein’s reference to a Deity is tongue-in-cheek, but I’ve long thought that chaos provides the ideal mechanism for a Deity to intervene in the Universe. Having said that, I don’t believe in Divine intervention, because it assumes that God has a plan that 'He' needs to keep interfering with. I prefer to think that God is simply the laws of the Universe (a la Einstein’s God) and they will run their course.

Chaos may be 'deterministic' but you can't rerun a chaotic phenomenon and get the same result - that's how chaos was discovered. The Universe obeys 'strange attractors', which provides stability to some systems while still being ultimately unpredictable. We don't know enough to know why the Universe turned out the way it did. Every age has its own sphere of ignorance, but chaos suggests that the future cannot be ultimately known. In other words, there appears to be a limit to what it's possible to know and not just a limit dependent on our cognitive abilities.

Leonard Nimoy (aka Spock): 1931 - 2015

I first watched Star Trek when I was 16 or 17 on black and white TV. It was innovative and evoked many of the ideals of the 1960s that people from different races and backgrounds could form a team that would explore the universe. Spock is one of the great Sci-Fi icons. I particularly liked his appearance in J.J Abrams' Star Trek movie from 2009, where Spock meets a younger version of himself through a time warp, as can only happen in Sci-Fi.

From a philosophical perspective, Star Trek projected a positive, utopian scenario of human nature - envisioning a future where humans would overcome their tendency towards conflict. But it also envisioned a belief, recently expounded by Brian Cox in the final episode of his series, The Human Universe, that humans have a destiny to go beyond their Earth-bound existence.

There is a scene in Abrams' movie that is reminiscent of a scene in my novel, Elvene, where Spock is holed up in an ice cave. Such coincidences in storytelling are not uncommon, like finding the thread of a tune in a piece of music transferred into another work, though, in this case, quite unintentional, as Elvene was written many years before Abrams' Star Trek.

The newslink below to CBSNews is a very touching tribute.

Leonard Nimoy's final tweet.

Genetic engineering is not an evil conspiracy

There is a lot of hysteria about GM foods and genetic engineering in general, yet it’s a path to providing benefit to all of humankind in the same way that all the scientific endeavours of the past 2 centuries have done for anyone living in a Western society. It’s true that science and technology has also provided us with military advances that could literally destroy the planet, but the technology that drove 2 world wars in the last century also gave us accessible air travel, computers and satellite navigation and communication, albeit the last are really consequences of the Cold War.

I’ve just finished watching Brian Cox’s BBC series, The Human Universe, and, in the last programme, he extols us to value knowledge for its own sake and not just to deliver economic gains, and to raise science to an enlightenment subject in education. He doesn’t use the term ‘enlightenment’ but I do because not enough people realise how enlightening it is and has been since the time of Copernicus, Galileo and Kepler.

In a recent episode of Catalyst, they provide a mini-doco (9 mins long) on the work of Prof David Craik, which promises breakthrough developments in medicine for the whole world using genetic engineering techniques.

I’m not sure if the programme can be accessed outside Australia, but essentially Craik has worked in the area of ‘cyclotides’, which are cyclic peptides found in nature. Cyclic peptides aren’t broken down in our bodies so we can use the structure on other peptides allowing us to deliver specific ‘drugs’ to combat specific diseases. This is molecular engineering, but we can also use plants as 'factories' to create these drugs and deliver them in their seeds to third world countries (genetic engineering).

The general public is very ignorant about the role of bio-molecular science and how the world can benefit from these interventions. Instead, genetically modified crops are seen as an evil conspiracy by corporations to control the world’s food production. The truth is that humanity has been genetically modifying crops for centuries - well before Darwin’s theory of natural selection - by artificially selecting genes in both crops and domestic animals. Almost nothing we eat hasn’t been genetically modified from its natural habitat due to human intervention.

As I’ve mentioned in other posts, very few politicians are science-literate, and many see science as a servant to economic policy and nothing more. The truth is that only science can save humanity from itself. As Brian Cox reminds us (more than once) we are ‘special’ and possibly unique to the universe, in that we can appreciate the much bigger picture of the whole universe and understand our place in it. We are the only species on the planet that has the ability to transcend our origins, and, arguably, we have an obligation to pursue that, and we can only do that through science.

That Mystery of Mysteries

I read an interesting article in the latest issue of Philsophy Now (Issue 105, Nov/Dec 2014) by Toni Vogel Cary titled, That Mystery of Mysteries, about the 2 centuries old debate regarding the theory of evolution and God-manipulated speciation. Toni Vogel Carey is introduced as ‘a philosophy professor in a former life, has written for twenty years… and serves on the US advisory board of Philosophy Now.’

She presents some interesting statistics that suggest ignorance in science this century is increasing rather than decreasing. For example: ‘In Great Britain, few besides evangelicals paid attention to creationism before 2002. But by 2006, a BBC poll showed that 4 out of 10 in the UK thought religious alternatives to Darwin’s theory should be taught as science in schools.’

She then gives equally scary anecdotes for the former Eastern European block countries, where, for example: ‘In 2006, Poland’s minister for education repudiated the theory of evolution, and his deputy dismissed it as “a lie”.’

She gives other examples, from various countries and educational institutions that should ring alarm bells for anyone interested in providing scientific tuition to future generations. Towards the end of her lengthy discussion that goes back to Herschel, Lyell and Darwin (of course), she cites a recent publication by Thomas Nagel, titled Mind & Cosmos (2012) (which I haven’t read, it must be stated) where ‘Nagel argues for “natural teleology”, a view of nature as forward-looking and purposeful, yet secular rather than deistic or theistic.’ And herein lies the rub: it is very difficult for us to believe that something like us (humans) could not be the consequence of some ‘cosmic plan’ (That Mystery of Mysteries), the why and wherefore we have speculated about ever since we gained the ability to think and imagine in a way that no other species can even cognise.

At the risk of going off on a complete tangent, I wish to reference an excellent BBC doco I saw recently called Apeman – Spaceman, the first of a 5 part series, Human Universe, presented by that cross between David Attenborough and a failed rock star, Brian Cox. Cox starts his programme, in a very Attenborough-like moment, attempting to cosy up to some baboons who live in the highlands of Ethiopia. Though not our closest relative and not even true baboons, Cox explains that, amongst the higher primates, they have the most complex social behaviours, second only to humans, and can even string together a series of vocalisations, thus combining sounds that have different meanings individually.

The point of this explication is to demonstrate the humungous gap that exists between humans and all other species on the planet, cognitively. One really cannot overstate this point, as many people prefer to believe that there is nothing ‘special’ about humans at all. But as Cox states explicitly, we are ‘unique’, certainly on planet Earth and possibly in the entire universe. We are unique because we are the only species that can speculate about, let alone comprehend, our place in the much larger scheme of things. It is from this unique cognitive vantage point that both religion and science arose.

If there is any one thing that defines humanity as a species it is surely curiosity. It is curiosity that has led us into space (the focus of Cox’s first episode) but also led us on an intellectual trail uncovering such wonders as mathematical calculus, nuclear physics, the human genome and every scientific discovery since we first grasped the art of writing down our thoughts so future generations could build an unassailable cumulative knowledge that has given us computers, air travel, smart phones and all the mod-cons we take for granted in Western societies the world over.

And this exceptional evolutionary ‘success’ also creates a paradox in popular Western thinking as Carey’s discussion exposes. Whilst we all accept the benefits that science has provided for us, without even thinking about them most of the time, many of us can’t accept that science has also provided an explanation for how Earthly species have developed, changed, evolved, gained ascendency and become extinct.

I believe there are 2 reasons for this. Firstly, scientific knowledge is always contingent on future discoveries. This means we never know everything, and, what’s more, we never will. There are limits to what we can know as I’ve discussed in another post. So how do I know that evolution is true? Because the biological knowledge that underpins the human genome project (DNA) also underpins the theory of evolution, completely unknown and unforeseen in Darwin’s time. This is a well documented and carefully studied case where future discoveries enhanced a contentious scientific theory beyond its originators’ (Darwin’s and Wallace’s) wildest imaginings.

But there is still a lot we don’t know about evolution: for example, how did DNA evolve and how did it originate? Did it come from outer space? In response, creationist and ID advocates can provide glib answers that, if taken seriously, close off any further avenues of investigation; effectively stemming the very curiosity that has given us what we have learned to date.

The second reason is that our intuition and common sense can let us down when it comes to scientific knowledge. There are 2 well-known examples: Einstein’s theories of relativity and quantum mechanics. Relativity theory tells us that clocks run slower when they travel faster (relative to another clock) and clocks run faster in lower gravity (like on satellites as opposed to ground level, Earth). Intuition and common sense tell us that this can’t be true, yet the GPS in your mobile phone or in the Sat-Nav of your car depend on relativity for their accuracy.

Quantum mechanics tells us that a particle can exist in superposition with itself: an electron can go through 2 slits at once and interfere with itself on the other side, though if we try and determine which slit it goes through then it will only go through one of them. Yet quantum mechanics is not only the most empirically successful theory in the entire history of science, it underpins every electronic device you use, from TVs to computers to washing machines.

As I’ve stated many times on this blog in a variety of contexts, the biggest mystery of the universe is that it created the means to understand itself, through us. As I’ve also stated, more recently, the biggest difference between religion and science is that religion maintains the universe is teleological and science tells us that it’s not. So how do I reconcile this? Basically, I argue that ‘purpose’ has evolved, meaning there was no pre-ordained plan. It’s like God really did cast a set of dice and allowed the universe to find its own purpose. Einstein famously said, "God does not play with dice", but chaos and quantum theory suggest otherwise.

Addendum: This is a related post that I wrote a few years back, where, in the final paragraph, I come to a similar conclusion.

Ursula Le Guin's acceptance speech at the American Book Awards 2014

An acerbic commentary on the publishing industry from someone who's been in it for a long, long time; very successfully, I might add.

I've added Neil Gaiman's intro because it says so much about both of them.

I came across this by accident; posted as recently as November last year.

I'm a huge fan: Left Hand of Darkness, The Dispossessed and the Earthsea Quartet, which I re-read not that long ago. She's one of the greats: up there with Isaac Asimov, Robert Heinlein, Frank Herbert and Arthur C Clarke.

In memory of Joe Cocker: 1944 - 2014

With a Little Help from my Friends (Cologne Concert)

The Letter (Cologne)

Just a small tribute to someone who gave us something special. An inspiration and a legend.
'With a Little Help From my Friends' never fails to give me goose bumps, but on this occasion both these songs make me teary-eyed in their final moments.

Theory, knowledge and truth

Bear with me while I give a little backstory. Julia Zemiro, the effervescent host of RocKwiz (a brilliant show for those who are missing out) has made a TV series called ‘Home Delivery’ where she takes a celebrity (all comedians, either UK or Oz) back to their home town. In a recent episode she took Ruth Jones, an award-winning UK comedienne back to her home town in Wales. As part of the tour, she visited her church where a number of events in her life took place, apparently.

Given the context, Julia asked her if she was a ‘believer’. I thought Jones’ answer so candid and honest, it’s worth repeating. She said she believes there is something ‘greater than us’ but we really ‘have no idea’. Maybe not her exact words but certainly her sentiment. It was the admission of ignorance and humility that struck me – so different to any theological statement one cares to hear. And I realised, by the sheer contrast implicit in her statement, why I have such an issue with the Church; well, any church, basically. Because they all claim to know what they can’t possibly know and preach it with the absolute certainty that dogma requires.

And despite what they all claim, there is no text anywhere in the world that can tell us what, if any, greater purpose there is. Now, I’m not opposed to the idea that there could be a greater purpose and I have no problem with people believing that (like Ruth Jones). I only have a problem when they claim to know what that purpose is and what one must do (in this life) to achieve it.

When I was a philosophy student, a lecturer made the salient point that there are things one believes and things one knows and it’s important to keep in mind that what one believes should be contingent upon what one knows and not the converse. This is perfectly logical, even common sense, yet it’s extraordinary the mental gymnastics some people will perform to maintain a contrary position. To give an example, I read an account where William Lane Craig, in a conversation with the author of a Christian text, defended his belief that Mary conceived Jesus without having sex.

And this brings me to the fundamental epistemological divide that exists between science and religion, as we see it discussed and abused in the so-called Western world. Because science is essentially about knowledge, about what we know as opposed to what we might speculate and philosophise about, even though the boundaries sometimes get a bit blurred.

The success of science, over a period of 2500 years, if one wants to go back to Thales and Pythagoras, has arisen from a combination of theory, mathematics and empirical evidence. Now, whilst there is not a lot of mathematics in the biological sciences, it’s the discovery of DNA, with its inherent ‘software-like’ code that underpins all of biology and evolutionary theory in particular. And like the other disciplines of science, mathematics (in the form of knot theory) is informing us as to how DNA actually manages to function.

But out of that triumvirate, it is empirical evidence that ultimately holds sway. We can find truth in mathematics independently of any physical parameters, but when we apply our mathematics to physical theories, only physical evidence tells us if the theory is true. An example is string theory, which is a mathematical model of the universe predicting up to 11 dimensions, yet, whilst no evidence can be found to confirm it, it really does remain just a theory. Whereas Einstein’s theories of relativity (the special and general theory) are proven facts, as is quantum mechanics. Evolution, I would argue, is also a fact, simply because the evidence that proves it’s true could just as readily prove it’s wrong (the evidence is not neutral). So theories can be facts and not ‘just a theory’.

But all scientific knowledge is contingent on future knowledge which is how it has evolved. For example, Newton’s theories were overtaken by Einstein’s theories, yet the equations governing relativity theory reduce to Newton’s equations when relativistic effects are negligible. As someone once pointed out (John Worrall, London School of Economics, 1989) it’s the mathematics that survives from one physical theory to the next that informs us what aspect of the original theory was true. Again, referring to Newton and Einstein, gravity obeys an inverse square law in both their theories.

As I’ve described on another post when I reviewed Noson S. Yanofsky’s excellent book, The Outer Limits of Reason, there are limits to knowledge at all levels. So science acknowledges that it’s impossible to know everything, yet there is every reason to believe that our knowledge will increase for as long as humanity can survive. At the end of my last post, I pointed out that an implication of Godel’s Incompleteness Theorem is that mathematics is infinite, which means that there is no end to what we can discover.

So where does philosophy sit and where does religion sit amongst all this scientific knowledge? Well, I would suggest that there is an interface between science and philosophy that will always exist because philosophy quests for answers that are currently beyond our reach, some of which, like multiverses and Artificial Intelligence, may be resolved or may not.

A few years back, I said that religion is the mind’s quest to find meaning for its own existence, and I think that this is a perfectly logical and healthy thing for a mind to do. But religion, as it has evolved culturally, is full of mythology dressed up as truth. That is not to say that the figures who feature prominently in these religions are necessarily fictional, but the stories that have arisen in their wake are mythological in content. People like Jesus, Mohammed, Buddha, even Confucius, never wrote anything down so we are left with their ‘sayings’ (Mohammed was illiterate, which is why the Quran is probably in verse). But myth is very hard to shake once it takes hold in the collective consciousness of a population, and once it becomes ‘religion’ it becomes heretical to even question it.

Unfortunately, much of the debate between science and religion stems from what people think constitutes truth. Truth can exist in fiction, but in the form of life-lessons rather than narrative facts. When people believe that a narrative containing mythical elements is true, they will often argue that the mythical elements really happened by giving them supernatural attributes (like the example provided by Craig above). This is anathema to a scientifically trained mind and as far from any truth they would care to entertain.

So when people use the Bible as a criterion for scientific truth, it is certain to create conflict. Four hundred years ago, Galileo was threatened with torture by the Vatican for proposing that the Earth went round the Sun instead of the converse, as was then believed. The Vatican’s contention was that this contradicted a passage in the Bible that claims that God stopped the Sun moving in the sky. Now, we all know (thanks to pure science) that God could not have stopped the sun moving in the sky because the sun doesn’t move at all relative to the Earth’s orbit.

Yet still, in the 21st Century, we have people (like Ken Ham) claiming that the book of Genesis, which is full of mythological events like a snake that talks and a woman made from a man’s rib and a man made from dirt and a piece of fruit that turns people evil, nevertheless overrules all of modern science. I apologise on behalf of all Australia for unleashing Ken Ham onto the modern world, where he clearly doesn’t belong.

I once posted a question on his website asking for the nomination of one scientific discovery in the past 2500 years that has been made from studying the Scriptures. Not surprisingly, I never received a reply.

A few hundred years before Christ was born, Euclid, who was Librarian at the famous Library of Alexandria, wrote his seminal text, The Elements. This is arguably one of the most important texts ever written, certainly more important than any religious text as it contains real transcendental truths in the form of mathematical proofs. Mathematics is the only knowledge we have that transcends the Universe. As John Barrow quipped in one of his many books (citing Dave Rusin): Mathematics is the only part of science you could continue to do if the Universe ceased to exist.

It is hard to go past mathematics if you want truths, especially truths that are independent of humanity and the Universe itself. Of course, not everyone agrees with this Platonic sentiment, but it’s hard to avoid when one considers that there are an infinite number of primes that we can’t possibly know or an infinite string of digits in pi that we know must exist yet can’t possibly cognise. Mathematics is transcendent simply because it embraces infinity on so many levels.

To quote Barrow again, in a slightly more serious tone:

Mathematics is part of the world, and yet transcends it. It must exist before and after the Universe. Most scientists and mathematicians… work as though there were an unknown realm of truth to be discovered.

A book for geeks

Matt Parker is a mathematical entertainer, as oxymoronic as that sounds, because apparently, in the UK, he does stand-up comedic mathematics and mathematical-based magic tricks with cards. Originally a school teacher from Oz, he has the official title of Public Engagement in Mathematics Fellow at Queen Mary University of London.

He’s written a very accessible book called Things to Make and Do in the Fourth Dimension, where he attempts to introduce the reader to more obscure areas of mathematics by wooing them with games and little-known intriguing mathematical facts.

For example: if you square any prime number greater than 3 and take off 1 you’ll find it’s divisible by 24.  As he says: ‘That sentence can freak out even the most balanced mathematician.’ In a section at the back, called The Answers in the Back of the Book, he provides an easy-to-follow proof that shows this applies to any number that is not factored by 2 or 3 – so not just prime numbers. Obviously, any prime number above 2 or 3 fits that category as well. So the converse is not true: a number divisible by 24 plus 1 is not necessarily a squared prime. Otherwise, as Parker points out, we would have a very easy ready-made method of finding all primes, which we haven’t.

Basically, he is a mathematical enthusiast and he wants to share his enthusiasm. As anyone who reads my blog would know, I’m familiar with a fair sample of mathematical concepts and esoterica, so I don’t believe I’m the audience that Parker is seeking. Having said that, he managed to augment my knowledge considerably, like in the previous paragraph. Another example is his description of how to make binary computer logic gates by just using dominoes that actually can perform a calculation. In fact, he and a team of mathematicians spent 6  hours setting up a 10,000 domino ‘computer’ that took 48 seconds to compute 6 + 4 = 10, performed at the Manchester Science Festival in October 2012.

The title of this post is apt: geeks would love this book; yet Parker’s objective, one feels, is to make mathematics attractive to a wider audience. In particular, those who were turned off maths in their high school years, if not before. One of the virtues I found in this book is his selective use of visual representation, even of the simplest kind. I’m not just talking about graphs of exotic equations like Zeta functions and perspective drawings of Platonic solids or even 2D renderings of tesseracts (4D cubes), but rough hand-drawn sketches and sometimes just a list of numbers to demonstrate a series or sequence. I found these most helpful in understanding a tricky concept.

We are visual creatures because sight is our prime medium for comprehending the world. It should be no surprise that visualising an abstract concept, mathematical or otherwise, is the shortest way to understanding it. I work a lot with engineers and when they want to explain something they invariably draw a picture.

The problem with maths in education is that it’s a cumulative subject. More esoteric topics are dependent on lesser ones. If a student falls behind, the gap between what they’re expected to know and what they can actually achieve grows over the years of schooling.

Books like Parker’s attempt to short-circuit this process. He tries to introduce the reader to the more ‘sexy’ aspects of mathematics without grinding them into the ground with mind-bending exercises. His Answers in the Back of the Book allows the more adventurous and less intimidated reader to understand a topic more fully, whilst not burdening a less experienced reader with mind-expanding exercises. It is possible to read this book and come away with both a sense of awe at its magisterial wonder and an appreciation of how maths literally drives our digital world without having to do a lot of mental gymnastics. On the other hand, Parker is letting you into some of the secrets of the priesthood without feeling like you’ve done a PhD.

Although it is divided chapter by chapter into separate topics, this is a book that should be read in the order it is presented. Parker often references material already covered, partly to demonstrate how the mathematical world is so interconnected. To give an example, he sneaks up on the famous Zeta function in a way that makes it appear less intimidating then it really is, yet still manages to explain its relationship to Riemann’s famous hypothesis and the distribution of primes. I was disappointed that he didn’t explain that the non-trivial zeros, which are both the core mystery and ultimate unsolved puzzle, are in fact complex numbers involving the imaginary axis. However, he explains this in a later chapter when he introduces the reader to imaginary numbers and the ‘complex plane’.

Pythagoras famously said (or so we are led to believe, as he never wrote anything down) that everything is numbers. In the digital world this is literally true, and one of Parker’s most illuminating chapters explains how everything you do on your smart-phone from pictures to texting to music are all rendered by 0s and 1s.

Parker is very clever in that he discusses highly esoteric mathematical topics like the Zeta function (already mentioned), quarternions (imaginary numbers in 4D),  the so-called Monster or Friendly Giant in 196,833 dimensions, computer-generated self-correcting algorithms using binary arithmetic, multiple infinities, knot theory’s relevance to DNA not getting tangled and Klein bottles (4D bottles in 3D); without discussing more fundamental topics like logarithms, trigonometry or calculus. He doesn’t even explain the fundamental relationship between polar co-ordinates and Cartesian co-ordinates that makes imaginary numbers such a widely used tool.

He doesn’t get philosophical until the very end of the book, when he discusses the relevance of Godel’s Incompleteness Theorem to the study of mathematics for ever (quite literally). As I’m sure I’ve mentioned in previous posts, implicit in Godel’s Theorem is the fact that mathematics is never-ending, therefore it’s a human activity that will never stop. Also Parker points out that there could be other universes with other dimensions to ours, but any hypothetical residents (he calls them ‘hypertheticals’) would still discover the same mathematics as us, assuming they have the intellect to do so.

The 2 faces of IS: avenger of Muslims and genocidal ideologues

I apologise in advance to overseas readers (outside Australia) who can’t view this, but this interview on ABC’s Lateline current affairs programme on Thursday (8 Oct) was a standout. Emma Alberici, a well respected television journalist and previous foreign correspondent with ABC’s European bureau, interviews, or attempts to interview, Wassim Doureihi, member of Hizb ut-Tahir; an organisation which has been banned in many countries, but not Australia or the UK. This link gives a good summary of that interview, but it’s also ABC, so maybe unavailable outside Oz.

A lecture was held by the group’s Arabic spokesperson, Ismail Al-Wahwah, at Lakemba, Sydney last night, which, according to the SMH and Guardian (links), was not much different in rhetoric to Doureihi’s diatribe a few days earlier. Basically, they claim the current situation in Iraq is a direct consequence of America’s, and its allies’, involvement in that conflict, as well as earlier conflicts involving Muslims. And that, apparently, justifies everything that IS does. Though Doureihi never actually condones IS, he went to extraordinary lengths to avoid discussing their actions and/or strategy when talking to Alberici, which frustrated her enormously.

There are a couple of issues I wish to address: firstly, the sheer distortion in Dourheihi’s argument that doesn’t match the evidence; and secondly, the possible motivation behind people’s desire to join this ‘fight’ and how they manage to justify its atrocities.

Doureihi repeatedly asserted that the current conflict in Iraq is all about foreign occupation. But there is no foreign occupation in Iraq at present – the current Western forces have been invited by the Iraqi democratically elected government (as Alberici pointed out) – and IS arose in Syria, where there is no Western intervention at all, and moved into Iraq before the West got involved. Besides, IS are not attacking a foreign occupation in Iraq (the Westerners they behead are not military personnel); they are attacking people who have lived there for generations, mainly Kurds and Yazidi. In fact, they are committing genocide against these people, which has nothing to do with any foreign occupation.

One can argue about the wisdom of the West’s intervention in Iraq under Bush, especially considering the legerdemain of the so-called WMDs (Weapons of Mass Destruction) that never existed, and its woefully poor execution under Cheney and Rumsfeld. But you have to draw a very long bow to argue that IS have entered Iraq to right the wrongs of that misadventure, when they kill all males who won’t convert to Islam and sell all their women into slavery.

A few years back, I read The Islamist by Ed Hussain, who was radicalised in Great Britain, as a student, before becoming disillusioned and returning to a more moderate position on Islam. It’s an insightful book in that it distinguishes between the religion of Islam as practiced by many Muslims living in secular societies and the political ideology of extremists who want to reshape the world into a totalitarian Islamic state. Hussain believed, at the time, the entire world would inevitably become a ‘Caliphate’, not least because it was ‘God’s Will’. What turned Hussain around was when a student was stabbed to death by a member of his own group. Hussain suddenly realised he wanted no part of an organisation that saw killing non-adherents as part of its creed.

When IS first declared itself a caliphate, an Australian academic (I can’t recall his name or his department) made the observation, in regard to Muslims in Indonesia, that just the idea of a caliphate would have enormous appeal that many would find hard to resist. In other words, many see this as some sort of Islamic nirvana, a new ‘world order’, where all wrongs will be made right and all peoples will be made to see and understand God’s wisdom and be guided by it through Sharia law. Naturally, this is anathema to anyone living in a Western democratic secular society, and is seen as turning back the clock centuries, before the Enlightenment and before the European renaissance and before modern scientific relevations, not to mention undoing generations of women’s independence of men, whether sexually, financially or educationally.

And this is the nexus of this conflict: it’s a collision of ideas and ideals that has no compromise. IS and its ilk, the Taliban in Afghanistan and Boko Haram in Africa, are fighting against the 21st Century. They know as well as we do, that there is no place for them, politically, in the world’s global future, and they can only rail against this by killing anyone who does not agree with their vision, and committing all women to marital slavery.

Finally, there is a comment by an Australian Islamist fighting in Syria, who believes that IS’s tactics of beheading journalists and aid workers is justified because their deaths are insignificant compared to the hundreds of innocent people (including children) killed by Western sponsored air raids. If these deaths can ‘blackmail’ America and its allies into not killing innocents then it is worth it, according to him.

David Kilcullen, an Australian expert on Afghanistan and a former adviser to Condoleezza Rice during the Bush administration, is one of the few who argued against drone strikes in Pakistan because they would ‘recruit’ jihadists. The abovementioned apologist for IS would suggest that such a belief was justified.

However, IS don’t just behead Westerners; it’s one of their psychological tactics against anyone who doesn’t convert to their specific brand of Islam. It’s meant to horrify and terrorise all their enemies, whoever they might be, and it succeeds.

Contrary to popular belief and popular crime thrillers, most people who perform evil acts, as perceived by most societies, don’t believe that what they are doing is evil and can always find a way to justify it. No where is this more acute than when the perpetrators believe that they have ‘God on their side’.

Mathematics as religion

I’ve just read John D. Barrow’s Pi in the Sky, published in 1992, and hard to get, as it turns out. I got a copy through Amazon UK, who had one in stock, and it’s old and battered but completely intact and legible, which is the main thing.

Those of you who regularly read my blog (not many of you, I suspect) will know that I’ve read lots of Barrow’s books, possibly The Book of Universes is the best, which I reviewed in May 2011.

Pi in the Sky is a very good title because it alludes to the Platonist philosophy of mathematics that seems to dominate both mathematics and physics as it’s practiced, in contrast to how many of its practitioners would present it. Barrow points out, both in his introduction and his concluding remarks (after 250+ pages), that Platonism has religious and mystical connotations that are completely at odds with both mathematics and science as disciplines.

He points out that there is a divide between mathematicians and physicists and economists and sociologists in the way they approach and view mathematics. For the economist and sociologist, mathematics is a tool that humans invented and developed, which can be applied to a range of practical applications like weather forecasting, economic modelling and analysis of human behaviours.

On the other hand, pure mathematicians and physicists see an ever-increasing complex landscape that has not only taken on an existence of its own but is becoming the only means available to understanding the most secret and fundamental features of the universe, especially at the extremities of its scale and birth.

This is an ambitious book, with barely an equation in sight, yet it covers the entire history of mathematics from how various cultures have represented counting (both in the present and the ancient past) to esoteric discussions on Godel’s theorem, Cantor’s transfinite sets and philosophical schools on ‘Formalism’, ‘Constructivism’, ‘Intuitionism’ and ‘Inventism’. Naturally, it covers the entire history of Platonism from Pythagoras to Roger Penrose. It’s impossible for me to go into any detail on any of these facets, but it needs to be pointed out that Barrow discusses all these issues in uncompromising detail and seems to pursue all philosophical rabbits down their various warrens until he’s exhausted them.

He makes a number of interesting points, but for the sake of brevity I will highlight only a couple of them that I found compelling:

‘Once an abstract notion of number is present in the mind, and the essence of mathematics is seen to be not the numbers themselves but the collection of relationships that exists between them, then one has entered a new world.’

This is a point I’ve made myself, though I have to say that Barrow has a grasp of this subject that leaves me well behind in his wake, so I’m not claiming any superior, or even comparable, knowledge to him. It’s the relationships between numbers that allows algebra to flourish and open up doors we would never have otherwise discovered. It is the interplay between ingenious human invention and the discovery of these relationships that creates the eternal philosophical debate (since Plato and Aristotle, according to Barrow): is mathematics invented or discovered?

One cannot discuss this aspect of mathematics without looking at the role it has played in our comprehension of the natural world: a subject we call physics. Nature’s laws seem to obey mathematical rules, and many would argue that this is simply because we need to quantify nature in order to study it, and once we quantify something mathematics is automatically applied. This quantification includes, not just matter, but less obvious quantifiable entities, like heat, gravity, electromagnetism and entropy. However, as Barrow points out, the deeper we look at nature the more dependent we become on mathematics to comprehend it, to the point that there is no other means at our disposal. Mathematics lies at the heart of our most important physical theories, especially the ones that defy our common sense view of the world, like quantum mechanics and relativity theory.

The point is that these so-called ‘laws’ are all about ‘relationships’ between physical entities that find analogous mathematical ‘relationships’ that have been discovered ‘abstractly’, independently of the physics. There may not be a Platonic realm with mathematical objects like triangles and the like but the very peculiar relationships which constitute the art we call mathematics have sometimes found concordant relationships in what we call the ‘laws of nature’. It is hard for the physicist not to believe that these ‘mathematical’ relationships exist independently of our minds and possibly the universe itself, especially since this mathematical ‘Platonic’ universe seems to contain relationships that our universe (the one we inhabit) does not.

In 2010, or thereabouts, I read Marcus du Sautoy’s excellent book, Finding Moonshine, which is really all about dimensions. The most fantastical part of this book was the so-called ‘Atlas’, which was a project largely run by John Conway with a great deal of help from others (in the 1970s), which compiled all 26 ‘sporadic groups’ that I won’t attempt to explain or define. Part of the compilation included a mathematical object called the ‘Monster’ which existed in 196,883 dimensions. Then a friend and colleague of Conway’s, John Mackay, discovered a most unusual and intriguing connection between ‘The Monster’ and another mathematical entity called a ‘modular function’ in number theory, even though it first appeared as an apparent ‘coincidence’ - as no reason could be conceived - but a sequence in the modular function could be matched to the sequence of ‘dimensions’ in which the Monster could exist.

I’m only telling snippets of this story – read du Sautoy’s book for the full account – but it exemplifies how completely unforeseen and unlikely connections can be found in disparate fields of mathematics. The more we explore the world of mathematics, the more it surprises us with relationships we didn’t foresee; it’s hard to ignore the likelihood that these relationships exist independently of our discovering them.

Because the only mathematics we know is a product of the human mind, it can be, and often is, argued that without human intelligence it wouldn’t exist. But no one presents that argument concerning other areas of human knowledge like the laws of physics, where experimentation can validate or refute them. However, no one denies that mathematics contains ‘truths’ that are even more unassailable than the physics we observe. And herein lies the rub: these ‘truths’ would still be true even without our knowledge of them.

This brings me to the second insight Barrow made that caught my attention:

He points out that our mathematical theories describing the first three minutes of the Universe predict specific ratios of the earliest ‘heavier’ elements: deuterium, 2 isotopes of helium and lithium, which are 1/1000, 1/1000, 22 and 1/100,000,000 respectively; with the remaining (roughly 78% ) being hydrogen. And this has been confirmed by astronomical observations. He then makes the following salient point:

‘It confirms that the mathematical notions that we employ here and now apply to the state of the Universe during the first three minutes of its expansion history at which time there existed no mathematicians… This offers strong support for the belief that the mathematical properties that are necessary to arrive at a detailed understanding of events during those first few minutes of the early Universe exist independently of the presence of minds to appreciate them.’

As Barrow points out more than once, not all conscious entities have a knowledge of mathematics – in fact, it’s a specialist esoteric discipline that only the most highly developed societies can develop, let alone disseminate. Nevertheless, mathematics has provided a connection between the human mind and the machinations of the Universe that even the Pythagoreans could not have envisaged. I’ve said this before and Marcus du Sautoy has said something similar: it’s like a code that only a suitably developed intelligent species can decipher; a code that hides the secret to the Universe’s origins and its evolvement. No religion I know of can make a similar claim.

Climate Change is a psychological problem

In last week’s issue of New Scientist (16 August 2014, pp. 24-25), George Marshall wrote a mostly pessimistic opinion piece about the acceptance of human-initiated climate change by the general public. Marshall is founder of the ‘Climate Outreach and Information Network in Oxford, UK,' and author of a book, Don’t Even Think About It; Why our brains are wired to ignore climate change, which is about to be published. This alone will stop many climate change sceptics from reading his article let alone his book.

Basically, he argues that it’s human nature to place more importance on short term pain over long term gain. In other words, we are reluctant to make sacrifices or accept short term costs in favour of long term goals that won’t be seen in our own lifetime and which no one can definitively quantify. Politicians don’t have the political will to overcome the collective inertia or risk election over an issue that many can’t perceive as current or relevant to their own lives. In Australia, and, I suspect elsewhere, this has become an emotionally charged issue with people sending threatening emails to scientists, and claiming that there is some global academic conspiracy to maintain funding and jobs for climate scientists who would otherwise be out of a job if climate change didn’t exist. Such irrationality merely demonstrates how reason is the first casualty when public opinion attempts to overturn peer-reviewed science.

In last week’s episode of ABC’s weekly programme, Q&A, the issue came up and Heather Ridout, a highly respected Australian business woman, currently head of AustralianSuper and a Board member for the Reserve Bank of Australia, seems an unlikely advocate for action on Climate Change, given those credentials, yet argued that the scientific argument is well and truly over and it’s time we accepted the scientific status quo instead of challenging it with spurious and contrary viewpoints that are given the same weight as globally accepted scientific opinion.

Marshall opens his article with a quote from Daniel Kahneman, who won the 2002 Nobel Prize for economics: “…I am deeply pessimistic, I really see no path to success on climate change.” To quote Marshall, Kahneman won the prize ‘for his research on the psychological biases that distort rational decision making.’ In particular, he coined the term “loss aversion”, which is effectively the point I made in the opening of the second paragraph: reluctance to accept short term pain for a long term gain of uncertain magnitude.

Kahneman also talks about “assimilation bias”, which is our ability to make information fit our personal prejudices, which is why people on opposing sides of the political spectrum can have such contradictory views over the same issue, like climate change. The problem with all this, as Marshall expounds, is that, politically, it is much easier to postpone the problem than deal with it now. The easy way out for politicians, is to give it lip service whilst pursuing policies that actually do nothing to address it. This is exactly what our current political leadership is doing in Australia, and I believe it’s happening elsewhere as well.

What I find interesting, in light of the psychological dimension that both Marshall and Kahneman propound, is how the issue seems to fall on the 'right' and 'left' of the political divide. In Australia, a conservative politician lost the leadership of his own party (by 1 vote) when he put climate change on the line, which was very brave, but changed the political landscape in Australia dramatically for the last 3 election terms.

It is the ‘right’ of politics that sees climate change as a furphy and it is the ‘left’ that sees it as one of the foremost challenges of the 21st Century, for the entire world. If one examines politics historically, it is the ‘liberal’ politicians who have led social reforms in areas of equality and social justice that have, in later generations, become mainstream. I predict that this also applies to climate change, where ‘liberal’ politicians are once more showing leadership on a socially contentious issue, that will, in later generations, be accepted as the status quo, as the scientific community has already done.

Woody Allen’s Magic in the Moonlight

I’ve just seen this movie at NOVA (yes, I’ll give them a plug for Melbournians). In Australia, we are very fortunate in that we have art-house multiplexes, as well as commercial ones. Not all movies are made for teenagers (in particular teenage boys): there are lots of good movies from all over the world made with adults in mind. And Melbourne art-house cinemas are evidence that there is an audience for them, at least in Melbourne. Does that make me a cultural snob? Probably.

About 15 years ago, I was working on an engineering project in the ‘bush’, in north-east Victoria, living in Benalla, which is about 2.5 hrs from Melbourne. About 10 minutes outside of Benalla was a ’one-horse’ town called Swanpool – one of those towns you’d miss if you blinked – I don’t even think it had a pub. But it had a public hall that some locals had converted into a cinema. The seats were cheap and you came rugged up (Benalla is frosty in winter) and brought your own coffee mug to get a cheaper cup of coffee. The point of this little sojourn is that on Saturday nights they screened blockbusters but on Friday nights they screened art-house movies (usually foreign). I saw the Cuban film about homosexuality, Strawberry and Chocolate and the French surrealist film, The City of Lost Children, amongst many others. I remember sending an email to an ex-pat friend living in California that art-house cinema was alive and well in country Victoria.

Woody Allen is going through a European phase, and Magic in the Moonlight is no exception, set on the Cote d’Azur in France. Amongst his more recent films, I think To Rome With Love failed to hit the mark, but Midnight in Paris was a work of genius. I also enjoyed You’ll Meet a Tall Dark Stranger, even though it didn’t get good reviews; I liked it for Allen’s ability to put up a mirror to our humanly flaws, and loved it for the Faustian twist in its tail.

Which brings me to Magic in the Moonlight, starring British acting icon, Colin Firth. It’s masterly economical in the way Allen leads us through the narrative, referencing the next scene in its predecessor, so that the story flows without any intellectual or logical hurdles to deal with. And yes, it’s predictable but we don’t know how it will be resolved, so that sort of predictability is welcome, especially when the resolution is both logical and a surprise, as it is in this film. The resolution of the romantic dimension is less a surprise but it’s treated in an unusual and humourous fashion.

But the reason I’m writing about this particular Allen film is because it has a philosophical dimension. Colin Firth’s character, ‘Stanley Crawford’, is a sceptic in the tradition of James Randi, and he meets his match in ‘Sophie Baker’ (Emma Stone), an American ‘psychic’, and the rest I won’t tell you. In fact, I haven’t told you any more than you can deduce from the trailer. The point is that Allen plays with his audience, knowing they will take sides in this philosophical-oriented debate: is there something beyond the world we can see? In effect, he tackles the divide between the hard-nosed scientists and empiricist philosophers and the romantic idealists who believe or like to believe that life holds more meaning than the short span of our years.

Don’t judge all Muslims the same

In Philosophy Now (Issue 102, May/June 2014), Terri Murray (Master of Theology, Heythrop College, London) wrote an essay titled, Is Judging Islamic Culture Possible? Now I’ve touched on this topic before in various guises, but it’s perhaps more relevant than ever with the rise of ISIS or IS (Islamic State) with its self-appointed Caliphate and its barbaric treatment of anyone who won’t follow its dictates.

Murray’s article is lengthy and well-argued, so it’s a bit unfair to distill her arguments into succinct sound-bytes, as I’m about to do. Basically, Murray delineates between what she calls ‘liberal multiculturalism’ and ‘pluralist multiculturalism’: where she contends the former (of which she claims to belong) puts the rights of the individual above cultural identity; and the latter where cultural identity holds sway over individual liberty. That’s the gist of her argument, but, in particular, she compares this with feminism and LBGT rights, both of which she’s been an outspoken advocate of, or so she tells us, and I have no reason to disbelieve her.

But she also refers to the ‘pluralist multiculturalists’ as ‘relativists’, and much of her argument revolves around this, contextually. In effect, the moral or cultural relativists argue that we in the West are not in a position to criticise other cultures and Islamic culture in particular – political correctness gone mad, is how many conservatives and some liberals would put it.

Murray lives in England and I live in Australia, where cultural sensitivities are not dissimilar but not exactly the same. I both work and socialise with Muslims, some of whom I consider very good friends, which naturally colours my own perceptions and opinions, but that’s not the issue. In a post last year (Aug. 2013), I argued that there was no such thing as moral relativism, whereas Murray’s argument effectively hinges on that idea. I argued that no one can hold a moral standpoint on an issue that covers every perceived view – it’s impossible – so what she’s talking about is tolerance, as she acknowledges herself. But I’ve also argued elsewhere that the limit of tolerance is intolerance by others. Like many so-called liberals, I’m intolerant of intolerance, and that is the guiding criterion when it comes to judging Islam or variants of Islam or any other cultural practice.

Moral values, as practiced, are invariably subjective, and arise from cultural or social norms that we are exposed to from our earliest cognitive years. But in our teens and early twenties, our so-called ‘formative’ years, we can undergo changes in attitudes and beliefs and often challenge the views we were brought up with. It is my belief that many members of IS, especially those from a Western background, fall into this category. Why they are attracted to this ideology, I can neither imagine nor understand, but we know it’s happening. The point is that while many of us find their behaviour abhorrent in the worst possible way, they believe the opposite and claim that it is our lifestyle that is sinful and against the laws of ‘God’, which is how they justify what they do. As I’ve said before, when you take your morals from ‘God’ you can justify any atrocity.

The danger, as I see it, is in taking a polarised view. Murray is arguing against one of those polarised views: that we must accept and tolerate all manifestations of Islam irrespective of its consequences on individuals. Even forgetting about IS for the moment (Murray’s article was written prior to IS’s rise to dominance in Syria and Iraq), issues like female genitalia mutilation and honour killings are examples where the rights of individuals trump cultural tolerance and sensitivity, as Murray points out. But there is another form of polarisation that is equally dangerous and far more likely, which is to brand all Muslims with the same brush. We already see this with religious commentators like Richard Dawkins and Sam Harris, both of whom attack all kinds of religion and argue that moderate religious believers somehow support fundamentalism, which is simplistic, divisive and plain wrong. No one suffers under militant Islam more than moderate Muslims as we are currently witnessing in Iraq, but also Indonesia and other countries. To alienate moderate Muslims in a ‘war’ against Islamic extremists is a huge mistake. In Australia, at least, politicians and strategists seem to be very aware of this dimension to the issue, at least, locally.

Understeer, oversteer and steering in general

I promise that this will be my last post on this subject. Well, I shouldn’t promise, but I don’t want to change the fundamental nature of my blog. Driving is a basic life-skill in modern societies and people die from it, therefore it’s worth a bit of print. In fact, people receive horrendous injuries, comparable to what one might get in a war, but few of us ever think about that when we get into a car, otherwise we probably wouldn’t.

Airline pilots go through training drills regularly, which is why they can cope with most things that try to spill them out of the sky. In the case of driving, which most of us do above a certain age, the only training we get, beyond how to operate a vehicle and the local road rules, is what we learn ourselves. I’m a firm believer that we should be teaching kids how to drive in schools, and teaching them so-called advanced driving skills like how to brake and swerve at the same time. I know at least one driver who is convinced that if she swerves she will roll the vehicle, so she’s probably the norm rather than the exception. I know another driver who won’t drive on the shoulder because the prospect scares him to death. I’ve done both on more than one occasion and avoided certain disaster on each occasion.

So what can I possibly write on a blog that may help? Well I can explain the dynamics of a car when cornering because that’s the essence of driving in my view. I believe a car should be an extension of your mind and body, because in some ways it is. You think and act which produces effects that change direction and change speeds, often at the same time, in response to visual and sensory stimuli. The sensory stimuli include your sense of balance, the strain on the muscles of your neck, the weight of the steering wheel and the pressure you feel on the brake pedal. What’s more, you can’t see the extremities of your vehicle, let alone where the wheels touch the ground, yet you can place it on the road with centimeter precision, out of sheer practice.

Of course, some cars do this better than others, and, unfortunately, a lot of cars are designed and manufactured to do the opposite: isolate the driver from the driving experience as much as possible, so they can indulge in the illusion that the car does the driving for them. I guess this makes me old-fashioned; I even drive a manual.

Most cars are designed to understeer when pushed because that’s what most drivers expect and what they are comfortable dealing with. Understeer is technically when the front wheels slip more than the rear and oversteer is the opposite when the rear wheels slip more than the front. In real world terms, understeer is when the front of the car runs wide in a corner and oversteer is when it feels like the back is trying to overtake the front, and, in extremis, can lead to the car spinning. Spinning is not so bad an outcome, by the way, because the car loses its energy and doesn’t go anywhere, like sliding into a tree or another car. I’ve seen people spin cars, unintentionally, and they came out unscathed. It’s also why racing drivers spin their cars, intentionally, when they lose control, to try and lose as much kinetic energy (speed) as quickly as possible. These days, most cars have ESP (electronic stability programmes) or some such acronym, so spinning a car may be next to impossible. I don’t know, I haven’t tried recently.

Getting back to understeer, the antidote is pretty simple: you take your foot off the throttle or apply more steering lock or both, both of which are the opposite to what created it in the first place, so it’s easy and intuitive to do.

Some cars are designed to be neutral or well balanced, which means, that under ideal conditions, they let go at the front and rear simultaneously. This is my own personal preference, because you can change it from understeer to oversteer or vice versa. You may ask: what could possibly be the advantage of oversteer? Well, mild oversteer, as opposed to snap oversteer, can help to point the car into the corner, and well-balanced cars facilitate this in a very non-threatening and confidence-building manner. In most driving circumstances, there are only 2 inputs involved in cornering: steering and throttle. Throttle allows you to adjust the car and, in combination with steering, you can finesse it around a corner without lurid slides or screeching tyres, just fluid and efficient progress that impresses people rather than scaring them.

Now, it needs to be pointed out that front-wheel-drive cars are often particularly adept at this steering on the throttle, as it’s called, and lift-off oversteer is possible. In other words, you may get dramatic oversteer from simply lifting off the throttle sharply, though, with the electronic intervention that all modern cars have, this is unlikely. Rear-wheel-drive cars do the opposite and can be made to oversteer with extra application of the throttle, but again, modern electronics, makes this unlikely in today’s cars.

Finally, I wish to point out something that is not generally spoken or written about, and that is that steering is one of those skills that the brain delegates to the subconscious, as it does other skills like walking, or hitting a ball with a cricket bat or a tennis racket or a baseball bat. Fingering skills that musicians learn also fall into this category so they become automatic and we can do them without thinking about them. In fact, the brain does this, out of practice, so it can think about more important things.

So I don’t believe that anyone thinks about steering when they drive a car around a corner – I know I don’t – I just do it. What I think about when approaching a corner is what gear I should be in, whether I brake or just lift off the throttle, so I’m only thinking about things that affect my speed of entry. I never think about where I should put my hands on the wheel or when I should turn in or even where I should apex the corner – I do all of that automatically. But speaking about speed, one of the worse things you can do is look at the speedo when you’re entering a corner – I’m sure a lot of accidents have occurred because of that – yet no one ever tells you. It’s like taking your eye off the ball. If you want to know what speed you’re doing around a corner, then look at the speedo on exit, not on entry. Also, possibly the worst thing you can do is enter a corner with a preconceived speed in your head, and have it on the speedo before you commit. You should be able to judge what speed to do around a corner without looking at the speedo – in fact, I think that’s fundamental.

Lastly (I know I’ve already said finally) a lot of ink has been used and many words spoken on the technique you should use for steering. There are 2 favoured methods: feeding the hand and the racing driver technique. I think there’s a place for both of them, but I have another which I evolved myself without any instruction. When I was learning to drive (in Oz) driving instructors were teaching what I call the shuffle technique, whereby student drivers were shuffling the wheel in short strokes in order to keep their hands on opposite sides of the wheel at all times. I was reminded of this recently when I was a passenger in a car where a woman of my vintage was doing a 3 point turn using this very technique. Now, it’s not her fault – it’s what she was taught, and because the brain delegates this to the subconscious she’s condemned to do it for the rest of her driving life.

What I believe these instructors were trying to teach was the ‘feed-the-hand’ technique, whereby we turn one hand over the top of the wheel - left hand for right turning and right hand for left turning – into the opposing hand which remains stationary. Thus, when we have applied the correct lock, our opposing hand is in the correct position to control the car. By correct position, I mean it’s ideally placed for maximum leverage and control which is on the side of the wheel. In fact, this is the best position to have both hands when we are driving straight ahead as well. In some cars there are little indents for the thumbs that facilitate this position when the steering wheel is in the straight ahead position.

And this is the position that’s advocated in the so-called racing driver technique, only they don’t change their position when they turn the wheel. I'm a firm believer in adopting the racing driver technique as a default position because it’s the best place to have your hands if you need to swerve. When you swerve, it’s always a reflex action and you don’t have time to change positions or move your hands on the wheel.

However, when approaching a corner, I move one of my hands over the wheel (depending which way I need to turn) so it automatically applies the right amount of lock when it returns to the default position (on the side) with wheel in hand. In other words, instead of feeding my hand, I grab the amount of wheel I think I’ll need. The difference, in practice, is that with feeding-the-hand, one hand ‘hands over’ to the other at some point in the process; whereas, with my technique, the handover occurs before you actually turn the wheel.  Now, I’m not the only one who does this, but no one taught me: it just evolved and I do it without thinking. It has the advantage that subconsciously I must intuit how tight the corner is as I judge how much lock I need before I enter the corner. Once I’m in the corner, my hands (both of them) are on opposing sides of the wheel which gives me best control. The only time I use the feed-the-hand technique is when I know I need more than one handful of lock, and I have to reach one hand over the other, which is the case for most suburban intersections.

There is one other advantage in a well-balanced or neutral car and that is that if it slides it will correct itself due to the underlying physics – the car will intrinsically seek neutrality. In other words, in an oversteer slide I will simply let go of the steering wheel and the car will correct itself. So why should a car slide? Well, it depends on the conditions, like mud or snow or slush, so I’m not talking high speeds. Even with electronic intervention, slides are possible if the conditions are diabolical enough.

I haven’t mentioned how important good tyres are – they are your lifeline – and how equally important it is to maintain their air pressure. I put air in mine about every 1,000km (600 miles) or every second time I fill up with petrol. They lose around 2-3psi in that time, so I put in an extra 2psi more than what is recommended by the manufacturer. Imagine how much you would care about your tyres and air pressure if you only had 2 wheels instead of 4.

Addendum: I need to say something about cruise control. In Australia, cruise control is very popular, partly because people use it to avoid breaking speed limits. Australia has the lowest tolerance to exceeding speed limits of probably anywhere in the world. Having said all that, I never use cruise control, because I have a psychological problem with giving up that aspect of the car’s control – I like to know I’m controlling the car’s speed all the time. I know that makes me an outstanding exception. The problem with cruise control, as I see it, is that we give up our sense of speed - we delegate it to the car - though I consider it to be essential to driving. By sense of speed, I mean we know longer make judgements about how fast we should be going, because we no longer are allowed to.

Addendum: Can I just say that probably the best book on this subject is How to Drive by Ben Collins, aka The Stig (from Top Gear). Unlike me, he's a professional driver. He was also a stunt driver for at least one James Bond movie.