Combining Texts

All the ideas for 'Replies to Critics', 'Introduction to Zermelo's 1930 paper' and 'Commentary on 'Posterior Analytics'

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8 ideas

3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Names, descriptions and predicates refer to things; without that, language and thought are baffling [Davidson]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The first-order ZF axiomatisation is highly non-categorical [Hallett,M]
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
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
The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Defining concepts by abstractions will collect together far too many attributes from entities [Barnes,J]
Abstraction from an ambiguous concept like 'mole' will define them as the same [Barnes,J]
Abstraction cannot produce the concept of a 'game', as there is no one common feature [Barnes,J]