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All the ideas for 'Review of Tait 'Provenance of Pure Reason'', 'The Laws of Thought' and 'Attitudes De Dicto and De Se'

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12 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin]
Boole's notation can represent syllogisms and propositional arguments, but not both at once [Boole, by Weiner]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C]
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend]
5. Theory of Logic / H. Proof Systems / 2. Axiomatic Proof
Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
If functions are transfinite objects, finitists can have no conception of them [Parsons,C]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
The actual world is just the world you are in [Lewis, by Cappelen/Dever]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
A content is a property, and believing it is self-ascribing that property [Lewis, by Recanati]
18. Thought / A. Modes of Thought / 2. Propositional Attitudes
Attitudes involve properties (not propositions), and belief is self-ascribing the properties [Lewis, by Solomon]
18. Thought / A. Modes of Thought / 9. Indexical Thought
Lewis's popular centred worlds approach gives an attitude an index of world, subject and time [Lewis, by Recanati]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
A theory of perspectival de se content gives truth conditions relative to an agent [Lewis, by Cappelen/Dever]