Combining Philosophers

All the ideas for Arcesilaus, Anon (Ecc) and Charles Parsons

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14 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
In much wisdom is much grief [Anon (Ecc)]
1. Philosophy / D. Nature of Philosophy / 8. Humour
Laughter is mad; of mirth, what doeth it? [Anon (Ecc)]
Sorrow is better than laughter [Anon (Ecc)]
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]
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
A false object might give the same presentation as a true one [Arcesilaus, by Cicero]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
All is vanity, saith the Preacher [Anon (Ecc)]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Books are endless, and study is wearisome [Anon (Ecc)]