Combining Texts

Ideas for 'Introduction to Russell's Theory of Types', 'Philosophy of Mathematics' and 'Tractatus Logico-Philosophicus'

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6 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory

18114

There is no single agreed structure for set theory [Bostock]

4. Formal Logic / F. Set Theory ST / 3. Types of Set / a. Types of set

18107

A 'proper class' cannot be a member of anything [Bostock]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

18115

We could add axioms to make sets either as small or as large as possible [Bostock]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX

18139

The Axiom of Choice relies on reference to sets that we are unable to describe [Bostock]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

18170

The Axiom of Reducibility is self-effacing: if true, it isn't needed [Quine]

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size

18105

Replacement enforces a 'limitation of size' test for the existence of sets [Bostock]