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Ideas for 'Through the Looking Glass', 'The Rise of Analytic Philosophy 1879-1930' and 'Philosophy of Mathematics'

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6 ideas

5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-

22279

Frege's sign |--- meant judgements, but the modern |- turnstile means inference, with intecedents [Potter]

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism

22291

Deductivism can't explain how the world supports unconditional conclusions [Potter]

5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic

23447

In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]

5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth

22295

Modern logical truths are true under all interpretations of the non-logical words [Potter]

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation

23443

The axioms of group theory are not assertions, but a definition of a structure [Linnebo]

23444

To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]