Combining Texts

Ideas for 'Changes in Events and Changes in Things', 'Material Beings' and 'Philosophy of Mathematics'

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6 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

17587

The 'Law' of Excluded Middle needs all propositions to be definitely true or definitely false [Inwagen]

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic

17558

Variables are just like pronouns; syntactic explanations get muddled over dummy letters [Inwagen]

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 / 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]

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')

17583

There are no heaps [Inwagen]