Combining Texts

All the ideas for '', 'A General Principle to Explain Laws of Nature' and 'Proof that every set can be well-ordered'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy

19395

Philosophy is sanctified, because it flows from God [Leibniz]

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

11211

If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

11210

Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]

11212

The sense of a connective comes from primitively obvious rules of inference [Rumfitt]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / e. Countable infinity

15897

Zermelo realised that Choice would facilitate the sort of 'counting' Cantor needed [Zermelo, by Lavine]

9. Objects / F. Identity among Objects / 1. Concept of Identity

19394

Inequality can be brought infinitely close to equality [Leibniz]

19. Language / F. Communication / 3. Denial

11214

We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt]