9780415960472 (pbk. : alk. paper)
IR
EN-53419
انگلیسی
IR
Philosophy of mathematics
[Book]
:a contemporary introduction to the world of proofs and pictures
/ James Robert Brown
2nd ed.
New York
: Routledge,
, 2008.
xiv, 245 p. , ill. , 24 cm.
(Routledge contemporary introductions to philosophy)
Electronic
Includes bibliographical references (p. [226]-235) and index.
"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 nonstandard 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."--BOOK JACKET.
1. Introduction : the mathematical image -- 2. Platonism -- 3. Picture-proofs and Platonism -- 4. What is applied mathematics? -- 5. Hilbert and Geodel -- 6. Knots and notation -- 7. What is a definition? -- 8. Constructive approaches -- 9. Proofs, pictures and procedures in Wittgenstein -- 10. Computation, proof and conjecture -- 11. How to refute the continuum hypothesis -- 12. Calling the bluff.
Mathematics, Philosophy.
E-BOOK
Brown, James Robert.
ایران
0415960479.pdf
عادی
عادی
0415960479.pdf
متن
old catalog
e
BL
1
a
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