Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures
Routledge, 2008 - 245 oldal
In his long-awaited new edition of Philosophy of Mathematics, James Robert Brown tackles important new as well as enduring questions in the mathematical sciences. Can pictures go beyond being merely suggestive and actually prove anything? Are mathematical results certain? Are experiments of any real value?
This clear and engaging book takes a unique approach, encompassing non-standard topics such as the role of visual reasoning, the importance of notation, and the place of computers in mathematics, as well as traditional topics such as formalism, Platonism, and constructivism. The combination of topics and clarity of presentation make it suitable for beginners and experts alike. The revised and updated second edition of Philosophy of Mathematics contains more examples, suggestions for further reading, and expanded material on several topics including a novel approach to the continuum hypothesis.
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LibraryThing ReviewFelhasználói ismertető - aront - LibraryThing
Fantastic book. Fascinating questions are raised and addressed, in an easy to read and convincing style. If the topic interests you, this is a good place to start. Teljes értékelés elolvasása
LibraryThing ReviewFelhasználói ismertető - freetrader - LibraryThing
A nice read and rather in line with some of the stuff i lately read about it. Brown argues for a more experimental view of mathematics, where mathematicians are not the people rigorously proofing ... Teljes értékelés elolvasása