Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'Letters to Antoine Arnauld' and 'Moral Arguments'

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6 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
It is possible that an omnipotent God might make one and two fail to equal three [Descartes]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
Moral judgements need more than the relevant facts, if the same facts lead to 'x is good' and 'x is bad' [Foot]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
We can't affirm a duty without saying why it matters if it is not performed [Foot]
Whether someone is rude is judged by agreed criteria, so the facts dictate the value [Foot]
Facts and values are connected if we cannot choose what counts as evidence of rightness [Foot]