Combining Philosophers

All the ideas for Stilpo, Michael Hallett and Michael Morris

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12 ideas

1. Philosophy / H. Continental Philosophy / 3. Hermeneutics

23449

Interpreting a text is representing it as making sense [Morris,M]

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

17833

The first-order ZF axiomatisation is highly non-categorical [Hallett,M]

17834

Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

17837

Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]

5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence

23484

Bipolarity adds to Bivalence the capacity for both truth values [Morris,M]

5. Theory of Logic / G. Quantification / 1. Quantification

23494

Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

23451

Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]

23460

To count, we must distinguish things, and have a series with successors in it [Morris,M]

23452

Discriminating things for counting implies concepts of identity and distinctness [Morris,M]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis

17836

The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]

19. Language / D. Propositions / 1. Propositions

23491

There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M]

28. God / C. Attitudes to God / 5. Atheism

3029	Stilpo said if Athena is a daughter of Zeus, then a statue is only the child of a sculptor, and so is not a god [Stilpo, by Diog. Laertius]