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

ISBN-13: 9780415960472 / Angielski / Miękka / 2008 / 250 str.

Brown, James Robert

Opis

Tackles important as well as enduring questions in the mathematical sciences. This book takes an 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.

Spis treści

Preface and Acknowledgements  1. Introduction: The Mathematical Image  2. Platonism  3. Picture-Proofs and Platonism  4. What is Applied Mathematics?  5. Hilbert and Gödel  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.  Notes.  Bibliography.  Index

O autorze

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