Combining Texts

All the ideas for 'Scientific Explanation', 'Grundlagen (Foundations of Theory of Manifolds)' and 'Precepts for Advancing Science and Arts'

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

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4 ideas

2. Reason / F. Fallacies / 4. Circularity

9355	One sort of circularity presupposes a premise, the other presupposes a rule being used [Braithwaite, by Devitt]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

15946

Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

15911

Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine]

13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique

19392

I don't recommend universal doubt; we constantly seek reasons for things which are indubitable [Leibniz]