Combining Texts

All the ideas for 'Confessions of a Philosopher', 'The Foundations of Mathematics' and 'The Life of Reason'

expand these ideas     |    start again     |     specify just one area for these texts

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10 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy

8000	He who is ignorant of the history of philosophy is doomed to repeat it [Santayana, by MacIntyre]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V

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Infinity: there is an infinity of distinguishable individuals [Ramsey]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

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Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]

5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic

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Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]

5. Theory of Logic / L. Paradox / 1. Paradox

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Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

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Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

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Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]

11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs

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I just confront the evidence, and let it act on me [Ramsey]

13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge

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A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]

16. Persons / C. Self-Awareness / 3. Limits of Introspection

3102	Why don't we experience or remember going to sleep at night? [Magee]