Combining Texts

All the ideas for 'The Sceptical Chemist', 'The Foundations of Mathematics' and 'From Stimulus to Science'

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

---

10 ideas

2. Reason / B. Laws of Thought / 3. Non-Contradiction

6564	To affirm 'p and not-p' is to have mislearned 'and' or 'not' [Quine]

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

13334

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]

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]

27. Natural Reality / G. Biology / 3. Evolution

15961

I don't see how mere moving matter can lead to the bodies of men and animals, and especially their seeds [Boyle]