Combining Texts

All the ideas for 'On Second-Order Logic', 'Intending' and 'Epistemic Two-Dimensional Semantics'

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11 ideas

3. Truth / D. Coherence Truth / 1. Coherence Truth
Truth in a scenario is the negation in that scenario being a priori incoherent [Chalmers]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
'∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
5. Theory of Logic / K. Features of Logics / 4. Completeness
Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
5. Theory of Logic / K. Features of Logics / 6. Compactness
Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Many concepts can only be expressed by second-order logic [Boolos]
12. Knowledge Sources / A. A Priori Knowledge / 4. A Priori as Necessities
A sentence is a priori if no possible way the world might actually be could make it false [Chalmers]
20. Action / B. Preliminaries of Action / 1. Intention to Act / a. Nature of intentions
An intending is a judgement that the action is desirable [Davidson]
20. Action / B. Preliminaries of Action / 1. Intention to Act / c. Reducing intentions
Davidson gave up reductive accounts of intention, and said it was a primitive [Davidson, by Wilson/Schpall]