Combining Texts

All the ideas for 'Difference and Repetition', 'Introduction to Zermelo's 1930 paper' and 'Letters to Russell'

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12 ideas

1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
21901 'Difference' refers to that which eludes capture [Deleuze, by May]
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 / 3. Nature of Numbers / g. Real numbers
18253 I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege]
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]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
18166 The loss of my Rule V seems to make foundations for arithmetic impossible [Frege]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
21908 Ontology can be continual creation, not to know being, but to probe the unknowable [Deleuze]
21902 'Being' is univocal, but its subject matter is actually 'difference' [Deleuze]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
21903 Ontology does not tell what there is; it is just a strange adventure [Deleuze, by May]
21904 Being is a problem to be engaged, not solved, and needs a new mode of thinking [Deleuze, by May]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
18269 Logical objects are extensions of concepts, or ranges of values of functions [Frege]