Combining Texts

All the ideas for 'Explaining the A Priori', 'The World' and 'Introduction to Zermelo's 1930 paper'

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8 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17833 The first-order ZF axiomatisation is highly non-categorical [Hallett,M]
17834 Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
17837 Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17836 The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
22593 Our sensation of light may not be the same as what produces the sensation [Descartes]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
17722 The concept 'red' is tied to what actually individuates red things [Peacocke]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
16569 The Hot, Cold, Wet and Dry of the philosophers need themselves to be explained [Descartes]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
20964 Descartes said there was conservation of 'quantity of motion' [Descartes, by Papineau]