Combining Texts

All the ideas for 'Introductions to 'Aesthetics and the Phil of Art'', 'The Web of Belief' and 'Introduction to Zermelo's 1930 paper'

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8 ideas

1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis

8460	Philosophers have given precise senses to deduction, probability, computability etc [Quine/Ullian]

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]

21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics

20327

Modern attention has moved from the intrinsic properties of art to its relational properties [Lamarque/Olson]

21. Aesthetics / B. Nature of Art / 1. Defining Art

20326

Early 20th cent attempts at defining art focused on significant form, intuition, expression, unity [Lamarque/Olson]

21. Aesthetics / B. Nature of Art / 7. Ontology of Art

20330

The dualistic view says works of art are either abstract objects (types), or physical objects [Lamarque/Olson]