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 Topic: Philosophy of Mathematics/Logic

 (Read 3187 times)
  • 1« Previous thread | Next thread »
  • Philosophy of Mathematics/Logic
     OP - March 28, 2011, 02:27 PM
    this thread is partly directed at z10/zoomi/tlaloc, but i was wondering on whether anybody had any recommendations on books(as i've only read bits and bobs tbh that only allude to such concepts) about the philosophy of mathematics/logic? i've already ordered the oxford handbook of philosophy of mathematics and logic and i'm currently reading it on pdf, but of course a little breadth in one's reading is never bad.
  • Re: Philosophy of Mathematics/Logic
     Reply #1 - March 28, 2011, 03:07 PM
    I was recommended this... http://www.amazon.com/Philosophies-Mathematics-Alexander-George/dp/0631195440/ref=pd_sim_b_3 ... but I haven't read it yet (think it's too soon, although apparently that is very accessible).
  • Re: Philosophy of Mathematics/Logic
     Reply #2 - March 28, 2011, 03:36 PM
    .
  • Re: Philosophy of Mathematics/Logic
     Reply #3 - April 01, 2011, 09:31 PM
    Quote from: serrated_colon on March 28, 2011, 02:27 PM
    this thread is partly directed at z10/zoomi/tlaloc, but i was wondering on whether anybody had any recommendations on books(as i've only read bits and bobs tbh that only allude to such concepts) about the philosophy of mathematics/logic? i've already ordered the oxford handbook of philosophy of mathematics and logic and i'm currently reading it on pdf, but of course a little breadth in one's reading is never bad.



    have you read frege? I think that's the place most philosophy of maths courses begin
    At evening, casual flocks of pigeons make
    Ambiguous undulations as they sink,
    Downward to darkness, on extended wings. - Stevens
  • Re: Philosophy of Mathematics/Logic
     Reply #4 - April 01, 2011, 09:51 PM
    Not so much a philosophy of maths book per se, but I found that Penrose's book "Emperor's new mind" has an interesting discussion on the differences between platonism/ constructionism in the phil of maths.
    At evening, casual flocks of pigeons make
    Ambiguous undulations as they sink,
    Downward to darkness, on extended wings. - Stevens
  • Re: Philosophy of Mathematics/Logic
     Reply #5 - April 02, 2011, 09:09 PM
    There's a book called "Philosophies of Mathematics" by George and Velleman that is a good intro to some of the basic topics, I'm sure you've come across most of them already but it's well done and easy to follow.

    For a more in-depth reading, there is "Philosophy of Mathematics -- Selected Readings" edited by Benacerraf and Putnam, put out by CUP. It is a collection of essays on Phil math, sort of a nice mix of a little older work and some new stuff, and most of the big names (Carnap, Hilbert, Frege, etc.) are in there.
  • Re: Philosophy of Mathematics/Logic
     Reply #6 - April 02, 2011, 09:10 PM
    Quote from: Prince Spinoza on March 28, 2011, 03:07 PM
    I was recommended this... http://www.amazon.com/Philosophies-Mathematics-Alexander-George/dp/0631195440/ref=pd_sim_b_3 ... but I haven't read it yet (think it's too soon, although apparently that is very accessible).


    Hey did I recommend you that? Smiley
  • Re: Philosophy of Mathematics/Logic
     Reply #7 - April 02, 2011, 09:17 PM
    No, stop taking credit for everything.  040
  • Re: Philosophy of Mathematics/Logic
     Reply #8 - April 05, 2011, 02:32 PM
    Quote from: z10 on April 01, 2011, 09:31 PM
    have you read frege? I think that's the place most philosophy of maths courses begin


    i wanted a more general book that outlines the general positions of the main positions in the realm of mathematical philosophy, i intend to read specific books on such views(such as frege's and russell's logicism) later on, once i have a decent background knowledge on it. i mean i have a very naive view of issues like the ontology of mathematical objects/truth values right now and i probably will after working through some of the recommendations which is what brought this topic on. thanks for the recommendation though, definitely intending to start with frege once i'm done with my current books.

    Quote from: zoomi on April 02, 2011, 09:09 PM
    There's a book called "Philosophies of Mathematics" by George and Velleman that is a good intro to some of the basic topics, I'm sure you've come across most of them already but it's well done and easy to follow.

    For a more in-depth reading, there is "Philosophy of Mathematics -- Selected Readings" edited by Benacerraf and Putnam, put out by CUP. It is a collection of essays on Phil math, sort of a nice mix of a little older work and some new stuff, and most of the big names (Carnap, Hilbert, Frege, etc.) are in there.


    i'll take a note of the latter; i need some decent works like anti-realists such as putnam(i think he was at least an anti-realist w.r.t the ontology of mathematical objects). thanks!

  • Re: Philosophy of Mathematics/Logic
     Reply #9 - March 05, 2012, 09:18 AM
    have you any musings on the subject SC? DId you get around to checking out some stuff?
  • Re: Philosophy of Mathematics/Logic
     Reply #10 - March 05, 2012, 03:23 PM
    Perhaps not the most pertinent of treatises, but I'm presently reading a rather interesting little book called The Greek Qabalah, which gives a brief history of letter and number symbolism, numerology, Gematria, isopsephia, etc., in ancient mystical sects and religions, ranging from the Pythagoreans to the Neo-Platonists and even, apparently, to the early Christian writers.
  • Re: Philosophy of Mathematics/Logic
     Reply #11 - March 05, 2012, 03:27 PM
    FLATLAAAAANDDDD
    قل للمليحة في الخمار الأسود
    مـاذا فـعــلت بــناسـك مـتـعـبد

    قـد كـان شـمّر لــلـصلاة ثـيابه
    حتى خـطرت له بباب المسجد

    ردي عليـه صـلاتـه وصيـامــه
    لا تـقــتـلــيه بـحـق ديــن محمد
  • Re: Philosophy of Mathematics/Logic
     Reply #12 - March 05, 2012, 05:01 PM
    What.
  • Re: Philosophy of Mathematics/Logic
     Reply #13 - March 05, 2012, 05:17 PM
    http://en.wikipedia.org/wiki/Flatland
    قل للمليحة في الخمار الأسود
    مـاذا فـعــلت بــناسـك مـتـعـبد

    قـد كـان شـمّر لــلـصلاة ثـيابه
    حتى خـطرت له بباب المسجد

    ردي عليـه صـلاتـه وصيـامــه
    لا تـقــتـلــيه بـحـق ديــن محمد
  • Re: Philosophy of Mathematics/Logic
     Reply #14 - March 05, 2012, 05:30 PM
    Oh, I see.
  • Re: Philosophy of Mathematics/Logic
     Reply #15 - March 05, 2012, 07:32 PM
    Wittgensteins books are relevant and good!  Afro
    "Beauty is truth, truth beauty," - that is all
            Ye know on earth, and all ye need to know.

    - John Keats
  • Re: Philosophy of Mathematics/Logic
     Reply #16 - March 14, 2012, 06:08 AM
    Quote from: zoomi on March 05, 2012, 09:18 AM
    have you any musings on the subject SC? DId you get around to checking out some stuff?


    not really, too much going on atm to bother with philosophy right now

    gotta hustle hard instead
  • 1« Previous thread | Next thread »