Combining Philosophers

All the ideas for Augustin-Louis Cauchy, Charles Parsons and Robert van Gulick

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18 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Organisms understand their worlds better if they understand themselves [Gulick]
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 / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
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 / 2. Understanding
In contrast with knowledge, the notion of understanding emphasizes practical engagement [Gulick]
11. Knowledge Aims / A. Knowledge / 6. Knowing How
Knowing-that is a much richer kind of knowing-how [Gulick]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
Is consciousness a type of self-awareness, or is being self-aware a way of being conscious? [Gulick]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
Higher-order theories divide over whether the higher level involves thought or perception [Gulick]
Higher-order models reduce the problem of consciousness to intentionality [Gulick]
Maybe qualia only exist at the lower level, and a higher-level is needed for what-it-is-like [Gulick]
27. Natural Reality / G. Biology / 2. Life
From the teleopragmatic perspective, life is largely an informational process [Gulick]