Combining Texts

All the ideas for 'Works of Love', 'Introduction to Zermelo's 1930 paper' and 'Review of Aron 'Our Knowledge of Universals''

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8 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]

18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts

10645

We reach concepts by clarification, or by definition, or by habitual experience [Price,HH]

18. Thought / E. Abstraction / 2. Abstracta by Selection

10644

A 'felt familiarity' with universals is more primitive than abstraction [Price,HH]

10646

Our understanding of 'dog' or 'house' arises from a repeated experience of concomitances [Price,HH]

22. Metaethics / B. Value / 2. Values / g. Love

15998

Perfect love is not in spite of imperfections; the imperfections must be loved as well [Kierkegaard]