Combining Texts

All the ideas for 'Mathematics without Numbers', 'Lives of Eminent Philosophers' and 'Forget the 'correspondence theory of truth''

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13 ideas

2. Reason / C. Styles of Reason / 1. Dialectic
Dialectic involves conversations with short questions and brief answers [Diog. Laertius]
3. Truth / A. Truth Problems / 5. Truth Bearers
To be true a sentence must express a proposition, and not be ambiguous or vague or just expressive [Lewis]
3. Truth / B. Truthmakers / 2. Truthmaker Relation
Truthmakers are about existential grounding, not about truth [Lewis]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
Truthmaker is correspondence, but without the requirement to be one-to-one [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Sceptics say demonstration depends on self-demonstrating things, or indemonstrable things [Diog. Laertius]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Scepticism has two dogmas: that nothing is definable, and every argument has an opposite argument [Diog. Laertius]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
When sceptics say that nothing is definable, or all arguments have an opposite, they are being dogmatic [Diog. Laertius]
14. Science / C. Induction / 4. Reason in Induction
Induction moves from some truths to similar ones, by contraries or consequents [Diog. Laertius]
22. Metaethics / C. The Good / 3. Pleasure / b. Types of pleasure
Cyrenaic pleasure is a motion, but Epicurean pleasure is a condition [Diog. Laertius]
23. Ethics / A. Egoism / 1. Ethical Egoism
Cynics believe that when a man wishes for nothing he is like the gods [Diog. Laertius]