Combining Texts

All the ideas for 'Works of Love', 'Introduction to Zermelo's 1930 paper' and 'Events'

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8 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
The first-order ZF axiomatisation is highly non-categorical [Hallett,M]
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
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
The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]
7. Existence / B. Change in Existence / 2. Processes
Slow and continuous events (like balding or tree-growth) are called 'processes', not 'events' [Simons]
Maybe processes behave like stuff-nouns, and events like count-nouns [Simons]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Einstein's relativity brought events into ontology, as the terms of a simultaneity relationships [Simons]
22. Metaethics / B. Value / 2. Values / g. Love
Perfect love is not in spite of imperfections; the imperfections must be loved as well [Kierkegaard]