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Ideas for 'fragments/reports', 'Philosophy of Logic' and 'Vagueness'

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10 ideas

5. Theory of Logic / A. Overview of Logic / 2. History of Logic

18954

Before the late 19th century logic was trivialised by not dealing with relations [Putnam]

5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic

18956

Asserting first-order validity implicitly involves second-order reference to classes [Putnam]

5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=

21611

Formal semantics defines validity as truth preserved in every model [Williamson]

5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic

18962

Unfashionably, I think logic has an empirical foundation [Putnam]

5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence

21606

'Bivalence' is the meta-linguistic principle that 'A' in the object language is true or false [Williamson]

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

21605

Excluded Middle is 'A or not A' in the object language [Williamson]

5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic

18961

We can identify functions with certain sets - or identify sets with certain functions [Putnam]

5. Theory of Logic / H. Proof Systems / 4. Natural Deduction

21612

Or-elimination is 'Argument by Cases'; it shows how to derive C from 'A or B' [Williamson]

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

18955

Having a valid form doesn't ensure truth, as it may be meaningless [Putnam]

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

21599

A sorites stops when it collides with an opposite sorites [Williamson]