Combining Texts

All the ideas for 'works', 'Freedom and Reason' and 'Leibniz: Guide for the Perplexed'

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6 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
3338 Numbers have been defined in terms of 'successors' to the concept of 'zero' [Peano, by Blackburn]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
5897 0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Peano, by Flew]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
19347 Substance needs independence, unity, and stability (for individuation); also it is a subject, for predicates [Perkins]
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 / D. Deontological Ethics / 4. Categorical Imperative
6449 The categorical imperative leads to utilitarianism [Hare, by Nagel]