Combining Texts

All the ideas for 'Three Grades of Modal Involvement', 'Introduction to Zermelo's 1930 paper' and 'Behaviorism'

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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]

5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic

12219

Whether a modal claim is true depends on how the object is described [Quine, by Fine,K]

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

10922

Objects are the values of variables, so a referentially opaque context cannot be quantified into [Quine]

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]

9. Objects / D. Essence of Objects / 9. Essence and Properties

10923

Aristotelian essentialism says a thing has some necessary and some non-necessary properties [Quine]

10. Modality / A. Necessity / 2. Nature of Necessity

10921

Necessity can attach to statement-names, to statements, and to open sentences [Quine]

10. Modality / A. Necessity / 11. Denial of Necessity

10924

Necessity is in the way in which we say things, and not things themselves [Quine]

22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature

7517	I could take a healthy infant and train it up to be any type of specialist I choose [Watson,JB]