tag:blogger.com,1999:blog-3427479692989285926.post7922991615064908181..comments2017-08-03T18:12:40.631+10:00Comments on Journeyman Philosopher: Is mathematics invented or discovered?Paul P. Mealinghttp://www.blogger.com/profile/14573615711151742992noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-3427479692989285926.post-21448603036591756392012-03-15T19:19:48.257+11:002012-03-15T19:19:48.257+11:00Hi Deathray32
Glad you found it stimulating. '...Hi Deathray32<br /><br />Glad you found it stimulating. 'Food for thought' is what I aspire to.<br /><br />I confess I've had problems understanding modal logic - I got into an argument with Emanuel Rutten not so long ago, who claimed he had proved the existence of God using modal logic (Trying to define God, Nov.11).<br /><br />I've been heavily influenced by Penrose, which makes me a mathematical Platonist to all intents and purposes. I wrote about it <a href="http://journeymanphilosopher.blogspot.com.au/2009/03/unreasonable-effectiveness-of.html#uds-search-results" rel="nofollow">here</a>. Here's another <a href="http://journeymanphilosopher.blogspot.com.au/2008/01/is-mathematics-evidence-of.html" rel="nofollow">post</a> but it's a bit more esoteric and longer.<br /><br />Considering your prowess with animation and philosophy, I expect you may have a better grasp on these topics than me.<br /><br />Best regards, Paul.Paul P. Mealinghttps://www.blogger.com/profile/14573615711151742992noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-60310342348295000172012-03-15T16:47:40.943+11:002012-03-15T16:47:40.943+11:00Hi Paul, very interesting post... I don't quit...Hi Paul, very interesting post... I don't quite know whether I come down on the side of mathematical truths existing independently of humans, or of them being contingent on the existence of life forms that are capable of understanding them. In what sense did mathematical truths exist ten million years ago when there were no humans? Also I've been thinking a lot lately about modal logic and what kind of statement can be necessarily true, or what kind of entity can be necessarily existent, in all possible worlds. I can only think of mathematical statements and structure as candidates, or in general, closed formal systems with a certain set of axioms. Which means, it seems to me, that a lot of theology and Plantinga-style arguments for God's existence are academic in the most pejorative sense of the word. Anyway, sorry for rambling! Just thought I'd say thanks for posting some food for thought.deathray32http://www.youtube.com/user/deathray32noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-31789227836742903592012-02-12T22:04:43.770+11:002012-02-12T22:04:43.770+11:00I just watched the first episode of Marcus du Saut...I just watched the first episode of Marcus du Sautoy's <a href="http://www.sbs.com.au/ondemand/video/2195002714/The-Code-Numbers" rel="nofollow">The Code</a>, where he effectively argues that everything is determined by numbers, therefore one could argue that even numbers exist independently of us.<br /><br />They are abstract concepts to us, yet they have so much meaning and are intrinsic to every aspect of the universe's existence, that it's virtually impossible to consider that we invented them.<br /><br />Regards, Paul.Paul P. Mealinghttps://www.blogger.com/profile/14573615711151742992noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-340068971910180642012-02-12T12:44:15.948+11:002012-02-12T12:44:15.948+11:00Hi D,
I wrote this essay 10 years ago and my phil...Hi D,<br /><br />I wrote this essay 10 years ago and my philosophy on mathematics has changed little since then.<br /><br />But I would now call myself a mathematical Platonist, because I think the rules and laws that we call mathematics exist independently of us and possibly of the universe. In this, I've been influenced by Roger Penrose, in particular his book, <i>The Emperor's New Mind</i>.<br /><br />Regards, Paul.Paul P. Mealinghttps://www.blogger.com/profile/14573615711151742992noreply@blogger.comtag:blogger.com,1999:blog-3427479692989285926.post-43926820703768600902012-02-12T11:49:16.030+11:002012-02-12T11:49:16.030+11:00I think that mathematics and science are the langu...I think that mathematics and science are the languages in which the Universe was written. The actual formulas and numbers were invented by man, but the meaning behind the numbers is natural.D. McAuliffehttps://www.blogger.com/profile/10754866914809517836noreply@blogger.com