Combining Texts

All the ideas for 'fragments/reports', 'Freedom and Reason' and 'Sets, Aggregates and Numbers'

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9 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17818 How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
17822 Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
17817 Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
17815 We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
17821 You can ask all sorts of numerical questions about any one given set [Yourgrau]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
22331 Moral statements are imperatives rather than the avowals of emotion - but universalisable [Hare, by Glock]
22484 Universalised prescriptivism could be seen as implying utilitarianism [Hare, by Foot]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
467 A virtue is a combination of intelligence, strength and luck [Ion]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
6449 The categorical imperative leads to utilitarianism [Hare, by Nagel]