Combining Texts

All the ideas for 'fragments/reports', 'On the General Idea of Proof Theory' and 'works'

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5 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Logical consequence isn't a black box (Tarski's approach); we should explain how arguments work [Prawitz]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Model theory looks at valid sentences and consequence, but not how we know these things [Prawitz]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Weierstrass eliminated talk of infinitesimals [Weierstrass, by Kitcher]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
Weierstrass made limits central, but the existence of limits still needed to be proved [Weierstrass, by Bostock]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
By nature people are close to one another, but culture drives them apart [Hippias]