Combining Texts

All the ideas for 'Science and Method', 'Realism' and 'Letters to Leibniz'

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3 ideas

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.
7. Existence / D. Theories of Reality / 2. Realism
Dummett saw realism as acceptance of bivalence, rather than of mind-independent entities [Dummett, by Potter]
     Full Idea: Dummett aimed to characterise realism in terms not of the mind-independence of the entities but of the validity of bivalence for sentences referring to them.
     From: report of Michael Dummett (Realism [1982]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 21 'Lang'
     A reaction: Hence he called himself a 'philosopher of language', rather than a 'philosopher of thought'. Philosophers of language are more likely to end up as anti-realists, I suspect.
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
The question is whether force is self-sufficient in bodies, and essential, or dependent on something [Lenfant]
     Full Idea: The whole question is to know if the force to act in bodies is in matter something distinct and independent of everything else that one conceives there. Without that, this force cannot be its essence, and will remain the result of some primitive quality.
     From: Jacques Lenfant (Letters to Leibniz [1693], 1693.11.07), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 8
     A reaction: This challenge to Leibniz highlights the drama of trying to simultaneously arrive at explanations of things, and to decide the nature of essence. Leibniz replied that force is primitive, because it is the 'principle' of behaviour and dispositions.