Combining Philosophers

All the ideas for Charles Parsons, Edward Craig and U Kriegel / K Williford

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14 ideas

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]
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
We have the concept of 'knowledge' as a label for good informants [Craig, by Fricker,M]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Consciousness is reductively explained either by how it represents, or how it is represented [Kriegel/Williford]
Red tomato experiences are conscious if the state represents the tomato and itself [Kriegel/Williford]
Experiences can be represented consciously or unconsciously, so representation won't explain consciousness [Kriegel/Williford]
How is self-representation possible, does it produce a regress, and is experience like that? [Kriegel/Williford]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
Unfortunately, higher-order representations could involve error [Kriegel/Williford]