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Ideas for 'From an Ontological Point of View', 'Philosophy of Mathematics' and 'Aspects of the Theory of Syntax'

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3 ideas

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

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

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

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

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