Conjecture, Proof, and Sense in Wittgenstein’s Philosophy of Mathematics

Chapters in this book

1. Frontmatter i
2. Contents v
3. Preface 9
4. I. Contextualism and Invariantism
5. Knowledge, Contextualism, and Moorean Paradox 15
6. Context-Sensitivity without Indexicality? 41
7. Non-Relativist Contextualism about Knowledge 53
8. Knowing about Other Contexts 63
9. Epistemic Variantism and the Factivity of Knowledge 81
10. Explaining Variation in Knowledge by Full Belief 95
11. The Contextualist Promise 103
12. II. Epistemic Virtues
13. Intellectual Virtues and Their Place in Philosophy 117
14. Understanding’s Tethers 131
15. Knowledge as Achievement and the Value Problem 147
16. Apriority and Virtue: How Successful a Relationship? 155
17. III. The Nature and Value of Knowledge
18. Epistemology without the Concept of Knowledge 171
19. Reliabilism as Explicating Knowledge: A Sketch of an Account 189
20. How to Take Truth as a Goal? 203
21. Knowledge as Achievement – Greco’s Double Mistake 215
22. IV. Testimony
23. Norms of Trust, De Re Trust, and the Epistemology of Testimony 229
24. Jennifer Lackey on Non-Reductionism: A Critique 257
25. V. Disagreement
26. “A Troubled Area”. Understanding the Controversy over Screening Mammography for Women Aged 40-49 271
27. Is Philosophical Knowledge Possible? 285
28. The Significance of Disagreement in Epistemology 305
29. The Role of the Uniqueness Thesis in the Epistemology of Disagreement 319
30. Counterfactual-Peer Disagreement 329
31. Meta-Induction and the Problem of Fundamental Disagreement 343
32. Rival Logics, Disagreement and Reflective Equilibrium 355
33. VI. Wittgenstein
34. The Builders 371
35. First Person Authority without Glamorous Self-Knowledge 399
36. Subjective and Objective Certainty as Regards Knowledge and Action 429
37. Zu einigen Bemerkungen Wittgensteins über die Seele 439
38. Conjecture, Proof, and Sense in Wittgenstein’s Philosophy of Mathematics 459
39. Through Pictures to Problems: Cognitive Epistemology and Therapeutic Philosophy 475
40. Werte und Vernunft in Wittgensteins Spätwerk 493
41. Wittgenstein über Gedankenexperimente 507
42. Wittgenstein, Ethics and Therapy 523