Combining Texts

All the ideas for 'fragments/reports', 'Amphitheatrum' and 'The Foundations of Mathematics'

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10 ideas

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

13430

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

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

13428

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

13427

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

13426

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

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

13425

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

9. Objects / C. Structure of Objects / 6. Constitution of an Object

6019	If someone squashed a horse to make a dog, something new would now exist [Mnesarchus]

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

22328

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

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

22325

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

26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter

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Prime matter is nothing but its parts [Vanini]