Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, Charles Parsons and Anand Vaidya

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18 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
If 2-D conceivability can a priori show possibilities, this is a defence of conceptual analysis [Vaidya]
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 / 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 / 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]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
Essential properties are necessary, but necessary properties may not be essential [Vaidya]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Define conceivable; how reliable is it; does inconceivability help; and what type of possibility results? [Vaidya]
How do you know you have conceived a thing deeply enough to assess its possibility? [Vaidya]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
Inconceivability (implying impossibility) may be failure to conceive, or incoherence [Vaidya]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Can you possess objective understanding without realising it? [Vaidya]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
Gettier deductive justifications split the justification from the truthmaker [Vaidya]
In a disjunctive case, the justification comes from one side, and the truth from the other [Vaidya]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]
18. Thought / C. Content / 1. Content
Aboutness is always intended, and cannot be accidental [Vaidya]