Combining Philosophers

All the ideas for Charles Parsons, Correia,F/Schnieder,B and Richard Montague

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14 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Using modal logic, philosophers tried to handle all metaphysics in modal terms [Correia/Schnieder]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
Why do rationalists accept Sufficient Reason, when it denies the existence of fundamental facts? [Correia/Schnieder]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
Modal logic is not an extensional language [Parsons,C]
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 / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
'The' is a quantifier, like 'every' and 'a', and does not result in denotation [Montague]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C]
On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
If functions are transfinite objects, finitists can have no conception of them [Parsons,C]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
Is existential dependence by grounding, or do grounding claims arise from existential dependence? [Correia/Schnieder]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
Grounding is metaphysical and explanation epistemic, so keep them apart [Correia/Schnieder]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
The identity of two facts may depend on how 'fine-grained' we think facts are [Correia/Schnieder]
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]