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Ideas for '', 'Logicism and Ontological Commits. of Arithmetic' and 'Mathematics and Philosophy: grand and little'

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6 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic

11211

If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt]

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 / 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 / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

11212

The sense of a connective comes from primitively obvious rules of inference [Rumfitt]

11210

Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt]

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]