Combining Texts

All the ideas for 'Science and Method', 'A Problem about Substitutional Quantification?' and 'Herculaneum Papyrus'

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3 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
The substitutional quantifier is not in competition with the standard interpretation [Kripke, by Marcus (Barcan)]
     Full Idea: Kripke proposes that the substitutional quantifier is not a replacement for, or in competition with, the standard interpretation.
     From: report of Saul A. Kripke (A Problem about Substitutional Quantification? [1976]) by Ruth Barcan Marcus - Nominalism and Substitutional Quantifiers p.165
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
     Full Idea: One geometry cannot be more true than another; it can only be more convenient.
     From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Don't fear god or worry about death; the good is easily got and the terrible easily cured [Philodemus]
     Full Idea: Don't fear god, Don't worry about death; What is good is easy to get, What is terrible is easy to cure.
     From: Philodemus (Herculaneum Papyrus [c.50 BCE], 1005,4.9-14)
     A reaction: This is known as the Four-Part Cure, and is an epicurean prayer, probably formulated by Epicurus.