Combining Texts

All the ideas for 'Clitophon', 'The Varieties of Reference' and 'Introduction to Zermelo's 1930 paper'

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10 ideas

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]

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]

12. Knowledge Sources / B. Perception / 6. Inference in Perception

12580

Experiences have no conceptual content [Evans, by Greco]

7643	We have far fewer colour concepts than we have discriminations of colour [Evans]

18. Thought / C. Content / 1. Content

23794

Some representational states, like perception, may be nonconceptual [Evans, by Schulte]

18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts

16366

The Generality Constraint says if you can think a predicate you can apply it to anything [Evans]

18. Thought / D. Concepts / 3. Ontology of Concepts / b. Concepts as abilities

12575

Concepts have a 'Generality Constraint', that we must know how predicates apply to them [Evans, by Peacocke]

22. Metaethics / B. Value / 2. Values / f. Altruism

1590	The just man does not harm his enemies, but benefits everyone [Plato]