Philosophies of Mathematics
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Philosophies of Mathematics

4.07 of 5 stars 4.07  ·  rating details  ·  15 ratings  ·  2 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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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...more
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