Combining Texts

All the ideas for 'Prescriptivism', 'Cours d'Analyse' and 'Explanation in Mathematics'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
Prescriptivism says 'ought' without commitment to act is insincere, or weakly used [Hooker,B]
23. Ethics / B. Contract Ethics / 2. Golden Rule
Universal moral judgements imply the Golden Rule ('do as you would be done by') [Hooker,B]