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The Argument of Mathematics
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- ISBN: 9789400765344
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X, 393 p. 74 illus. online resource. - Publisher: Dordrecht : Springer Netherlands : Imprint: Springer, 2013.
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| Subject: | Philosophy (General) Logic Computer science Logic, Symbolic and mathematical Philosophy Logic Mathematical Logic and Foundations Mathematical Logic and Formal Languages |
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Electronic resources
| Introduction | ||
| Part I. What are Mathematical Arguments? | ||
| Chapter 1. Non-Deductive Logic in Mathematics: The Probability of Conjectures; James Franklin | ||
| Chapter 2. Arguments, Proofs, and Dialogues; Erik C. W. Krabbe | ||
| Chapter 3. Argumentation in Mathematics; Jesús Alcolea Banegas | ||
| Chapter 4. Arguing Around Mathematical Proofs; Michel Dufour | ||
| Part II. Argumentation as a Methodology for Studying Mathematical Practice | ||
| Chapter 5. An Argumentative Approach to Ideal Elements in Mathematics; Paola Cantù | ||
| Chapter 6. How Persuaded Are You? A Typology of Responses; Matthew Inglis and Juan Pablo MejÃa-Ramos | ||
| Chapter 7. Revealing Structures of Argumentations in Classroom Proving Processes; Christine Knipping and David Reid | ||
| Chapter 8. Checking Proofs; Jesse Alama and Reinhard Kahle | ||
| Part III. Mathematics as a Testbed for Argumentation Theory | ||
| Chapter 9. Dividing by Zeroâand Other Mathematical Fallacies; Lawrence H. Powers | ||
| Chapter 10. Strategic Maneuvering in Mathematical Proofs; Erik C. W. Krabbe | ||
| Chapter. 11 Analogical Arguments in Mathematics; Paul Bartha | ||
| Chapter 12. What Philosophy of Mathematical Practice Can Teach Argumentation Theory about Diagrams and Pictures; Brendan Larvor | ||
| Part IV. An Argumentational Turn in the Philosophy of Mathematics | ||
| Chapter 13. Mathematics as the Art of Abstraction; Richard L. Epstein | ||
| Chapter 14. Towards a Theory of Mathematical Argument; Ian J. Dove | ||
| Chapter 15. Bridging the Gap Between Argumentation Theory and the Philosophy of Mathematics; Alison Pease, Alan Smaill, Simon Colton and John Lee | ||
| Chapter 16. Mathematical Arguments and Distributed Knowledge; Patrick Allo, Jean Paul Van Bendegem and Bart Van Kerkhove | ||
| Chapter 17. The Parallel Structure of Mathematical Reasoning; Andrew Aberdein | ||
| Index. |
