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brown james robert - philosophy of mathematics

Philosophy of Mathematics A Contemporary Introduction to the World of Proofs and Pictures




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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Routledge

Pubblicazione: 01/2008
Edizione: Edizione nuova, 2° edizione





Note Editore

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 booktakes 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.




Sommario

Preface and Acknowledgements1. Introduction: The Mathematical Image2. Platonism3. Picture-Proofs and Platonism4. What is Applied Mathematics?5. Hilbert and Gödel6. Knots and Notation7. What is a Definition?8. Constructive Approaches9. Proofs, Pictures and Procedures in Wittgenstein10. Computation, Proof and Conjecture11. How to Refute the Continuum Hypothesis12. Calling the Bluff. Notes. Bibliography. Index




Autore

James Robert Brown is Professor of Philosophy at the University of Toronto, Canada.










Altre Informazioni

ISBN:

9780415960489

Condizione: Nuovo
Collana: Routledge Contemporary Introductions to Philosophy
Dimensioni: 9.25 x 6.25 in Ø 1.15 lb
Formato: Copertina rigida
Illustration Notes:60 line drawings
Pagine Arabe: 250
Pagine Romane: xiv


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