Combining Texts

All the ideas for 'fragments/reports', 'Remarks on axiomatised set theory' and 'Introduction to 'Properties''

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9 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor

4037	Ockham's Razor is the principle that we need reasons to believe in entities [Mellor/Oliver]

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

17879

Axiomatising set theory makes it all relative [Skolem]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17878

If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

17880

Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

17881

Mathematician want performable operations, not propositions about objects [Skolem]

8. Modes of Existence / B. Properties / 6. Categorical Properties

4027	Properties are respects in which particular objects may be alike or differ [Mellor/Oliver]

8. Modes of Existence / B. Properties / 12. Denial of Properties

4029	Nominalists ask why we should postulate properties at all [Mellor/Oliver]

18. Thought / E. Abstraction / 5. Abstracta by Negation

4039	Abstractions lack causes, effects and spatio-temporal locations [Mellor/Oliver]

21. Aesthetics / C. Artistic Issues / 7. Art and Morality

468	Musical performance can reveal a range of virtues [Damon of Ath.]