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Ideas for 'Katzav on limitations of dispositions', 'Vagueness' and 'Logicism and Ontological Commits. of Arithmetic'

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8 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic

10015

Higher-order logic may be unintelligible, but it isn't set theory [Hodes]

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 / 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 / D. Assumptions for Logic / 4. Identity in Logic

10011

Identity is a level one relation with a second-order definition [Hodes]

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 / 1. Semantics of Logic

10016

When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes]

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]