Combining Philosophers

All the ideas for Thrasymachus, Peter Unger and Augustin-Louis Cauchy

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8 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18085

Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18084

When successive variable values approach a fixed value, that is its 'limit' [Cauchy]

7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic

9052	Vague predicates lack application; there are no borderline cases; vague F is not F [Unger, by Keefe/Smith]

9. Objects / A. Existence of Objects / 5. Simples

16070

There are no objects with proper parts; there are only mereological simples [Unger, by Wasserman]

13. Knowledge Criteria / C. External Justification / 6. Contextual Justification / b. Invariantism

8724	The meaning of 'know' does not change from courtroom to living room [Unger]

13. Knowledge Criteria / D. Scepticism / 1. Scepticism

8722	No one knows anything, and no one is ever justified or reasonable [Unger]

13. Knowledge Criteria / D. Scepticism / 4. Demon Scepticism

8723	An evil scientist may give you a momentary life, with totally false memories [Unger]

28. God / C. Attitudes to God / 3. Deism

1558	Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus]