Combining Texts

All the ideas for '11: Book of Kings 1', 'How to Make our Ideas Clear' and 'The Theory of Transfinite Numbers'

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7 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth

7661	Truth is the opinion fated to be ultimately agreed by all investigators [Peirce]

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

9616	A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / n. Pi

17914

He made a molten sea, which was ten cubits across, and thirty cubits round the edge [Anon (Kings)]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities

15896

Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]

11. Knowledge Aims / A. Knowledge / 2. Understanding

19089

Our whole conception of an object is its possible practical consequences [Peirce]

11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs

7660	We are aware of beliefs, they appease our doubts, and they are rules of action, or habits [Peirce]

19. Language / A. Nature of Meaning / 5. Meaning as Verification

14906

Non-positivist verificationism says only take a hypothesis seriously if it is scientifically based and testable [Ladyman/Ross on Peirce]