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Philosophies of Mathematics

4.26 of 5 stars 4.26  ·  rating details  ·  19 ratings  ·  3 reviews
This book provides an accessible, critical introduction to the three main approaches that dominated work in the philosophy of mathematics during the twentieth century: logicism, intuitionism and formalism.
Paperback, 230 pages
Published December 3rd 2001 by Blackwell Publishers
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در فلسفه ى رياضى سه مكتب اساسى در قرن اخير رشد كردن و هركدوم با شروع از پيش فرض هاى فلسفى متفاوت درباره ى ماهيت رياضيات؛ به عبارت ديگه جواب هاى مختلف براى سوال هايى از قبيل چيستى اعداد و گزاره هاى رياضى و احكام وجودشناختى مرتبط با اونها و رابطه ى رياضيات بر جهان واقعى، روايت هاى گوناگون و سرشار از شباهتها و تفاوتهاى جالب توجه و آموزنده براى فلسفه هاى احتمالى بعدى ارائه داده اند. واقع گرايى يا پلاتونيسم، شهودگرايى و محدود گرايى (فينيتيسم) توى اين كتاب به تفصيل با تكيه و تأكيد بر ماهيت نظام مند و ...more
Peter Mcloughlin
Probably the clearest exposition on the philosophy of mathematics I have read in a while. It can be comprehended with a minimum of mathematics and philosophy background. It traces out developments in the philosophy of mathematics in the twentieth century. It talks about Frege and Russell's logicist program to reduce mathematics to a branch of logic and Russell's paradox and Godel's incompleteness theorem of 1930. It also takes up intuitionism and finitism two alternatives to logicism and realis ...more
Very hard to read, especially after I realized I need more than basic knowledge of mathematical logic. While I have a rough picture of what logicism, intuitionism, set theoretic approaches and formalism are, they are not sufficient to understand things like second order predicate logic and stuffs.

I hope I get to re-read this again with more knowledge equipped in future.

Tried re-reading it. Actually more accessible than I thought, though certainly good background in the topic significantly h
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