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Philosophy of Mathematics

Posted: September 10th, 2013, 1:19 pm
by And2
This book (by Dover, I think you can read it online) is perpetually in my "to read" pile. I don't remember by now why I picked it up, but remember that I wanted it quite a bit. The one I have is actually older edition - looks like it is popular after all.

Philosophy of Mathematics

Posted: September 11th, 2013, 8:57 am
by Cuchulainn
Hardy, A Mathematician's Apology

Philosophy of Mathematics

Posted: September 11th, 2013, 10:34 am
by LineOfBestFit
I read the Wiki summary of Hardy's essay. Man, that sounds pretty sad! Of course, I will find it and read it in its entirety. By the way, the whole thing about mathematics being a "young man's game..." I think that view is an antique. It is completely dependent on the health and habits of the individual in question whether they can remain lucid enough to fuse the abstract chains of thought to produce descriptions of unknown realms. Of course, it is perpetuated by movies and such, and of course, within the field like the RIDICULOUS (in my opinion) age cutoff of the Fields Medal.And2, this looks like the kind of thing I am after, although I am concerned about the view being "dated," based on that review given on Amazon. We will see -- I have a bunch of flights coming up over the next few months so I will have ample reading time!

Philosophy of Mathematics

Posted: September 11th, 2013, 10:47 am
by Cuchulainn
Some histograms QuoteThe biographies of 280 scientists indicate that the distribution of their age at the time of their greatest scientific contributions in their careers (age?genius curve) is similar to the agedistribution of criminals (age?crime curve). QuoteOne of the chief duties of a mathematician in acting as an advisor to scientists is to discourage them from expecting too much of mathematicians.N. Wiener

Philosophy of Mathematics

Posted: September 11th, 2013, 5:47 pm
by prfj
Is God a Mathematician, mario livio

Philosophy of Mathematics

Posted: September 12th, 2013, 2:32 pm
by Cuchulainn
QuoteOriginally posted by: prfjIs God a Mathematician, mario livioGod is a Numerical Analyst.

Philosophy of Mathematics

Posted: September 12th, 2013, 2:35 pm
by And2
QuoteOriginally posted by: CuchulainnQuoteOriginally posted by: prfjIs God a Mathematician, mario livioGod is a Numerical Analyst.Quantitative Analyst! ... or at list he (she?) thought he (she?) was a few years ago

Philosophy of Mathematics

Posted: September 12th, 2013, 7:02 pm
by Cuchulainn
QuoteOriginally posted by: And2QuoteOriginally posted by: CuchulainnQuoteOriginally posted by: prfjIs God a Mathematician, mario livioGod is a Numerical Analyst.Quantitative Analyst! ... or at list he (she?) thought he (she?) was a few years agoHow the mightly fall. God is NA because she tolerates errors!

Philosophy of Mathematics

Posted: September 13th, 2013, 11:49 pm
by MVP
There's a fairly good course on Coursera that has a brief pop at Mathematical Philosophy.Course link hereEnjoy!

Philosophy of Mathematics

Posted: September 14th, 2013, 5:26 am
by Cuchulainn
Interview with Cornelius Lanczos

Philosophy of Mathematics

Posted: September 16th, 2013, 8:58 am
by exneratunrisk
This is not centrally about the philosophy of mathematics, but it is about mathematical thinking in a broader sense.The Collapse of Chaos - Steward, Cohen IMO, the focus on the philosophy of mathematics ended with Kurt Goedel - the "world" in which mathematics can act as "quantifier eliminator" is small, the pragmatists (number crunchers) took over. "For all" means now (for all finite cases, I have tested ..).

Philosophy of Mathematics

Posted: September 17th, 2013, 9:13 pm
by And2
QuoteOriginally posted by: exneratunrisk the "world" in which mathematics can act as "quantifier eliminator" is small, the pragmatists (number crunchers) took over. "For all" means now (for all finite cases, I have tested ..).Exneratunrisk,This does not make sense, especially after Goedel...Anyway, here is another good reference, not exactly about mathematics, but has a lot of that too.Cuchulainn,This is great video. Thank you for posting.

Philosophy of Mathematics

Posted: September 17th, 2013, 11:33 pm
by bearish
I was once poking around in the library at the Institute for Advanced Study (not, by any stretch of imagination, my natural habitat) and randomly came across an old book on mathematical logic. I looked at the card in the pocket in the back of the book, and in its 70+ year history it had been checked out by exactly one borrower. In neat handwriting, his name was Kurt Gödel. I must admit that I was tempted to slip the card into my own pocket...

Philosophy of Mathematics

Posted: September 18th, 2013, 5:27 am
by Cuchulainn
QuoteThis is great video. Thank you for posting.You're welcome. Cornelius Lanzcos was at Dublin Institute of Advanced Studies DIAS at the invitation of President Eamon de Valera (himself a mathematician, who incidentally, brought E. Schroedinger to Dublin). That's in the video of course.Cornelius L. was a grand man. // BTW Credits go to @Polter for posting the original link.

Philosophy of Mathematics

Posted: September 18th, 2013, 6:55 am
by ThinkDifferent
QuoteOriginally posted by: bearishI was once poking around in the library at the Institute for Advanced Study (not, by any stretch of imagination, my natural habitat) and randomly came across an old book on mathematical logic. I looked at the card in the pocket in the back of the book, and in its 70+ year history it had been checked out by exactly one borrower. In neat handwriting, his name was Kurt Gödel. I must admit that I was tempted to slip the card into my own pocket...cool story, bro.