Combining Philosophers

All the ideas for Arcesilaus, Rayo,A/Uzquiasno,G and Ariston

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10 ideas

2. Reason / C. Styles of Reason / 1. Dialectic

20768

Like spiderswebs, dialectical arguments are clever but useless [Ariston, by Diog. Laertius]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

13451

The two best understood conceptions of set are the Iterative and the Limitation of Size [Rayo/Uzquiano]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / m. Axiom of Separation

13452

Some set theories give up Separation in exchange for a universal set [Rayo/Uzquiano]

5. Theory of Logic / G. Quantification / 2. Domain of Quantification

13449

We could have unrestricted quantification without having an all-inclusive domain [Rayo/Uzquiano]

13450

Absolute generality is impossible, if there are indefinitely extensible concepts like sets and ordinals [Rayo/Uzquiano]

5. Theory of Logic / G. Quantification / 5. Second-Order Quantification

13453

Perhaps second-order quantifications cover concepts of objects, rather than plain objects [Rayo/Uzquiano]

13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism

2667	A false object might give the same presentation as a true one [Arcesilaus, by Cicero]

19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning

13448

The domain of an assertion is restricted by context, either semantically or pragmatically [Rayo/Uzquiano]

23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean

3049	The chief good is indifference to what lies midway between virtue and vice [Ariston, by Diog. Laertius]

23. Ethics / D. Deontological Ethics / 1. Deontology

3549	Ariston says rules are useless for the virtuous and the non-virtuous [Ariston, by Annas]