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Ideas for 'Axiomatic Theories of Truth (2005 ver)', 'The Philosophy of Mathematics' and 'Conditionals'

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5 ideas

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

15652

We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach]

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

9195	Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]

5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic

15651

Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach]

5. Theory of Logic / G. Quantification / 5. Second-Order Quantification

9186	First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]

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

9187	Logical truths and inference are characterized either syntactically or semantically [Dummett]