Combining Texts

All the ideas for 'Science and Method', 'Letters to Antoine Arnauld' and 'Making It Explicit'

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3 ideas

3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
Facts can't make claims true, because they are true claims [Brandom, by Kusch]
     Full Idea: Brandom says that facts do not make claims true, because facts simply are true claims.
     From: report of Robert B. Brandom (Making It Explicit [1994], p.327) by Martin Kusch - Knowledge by Agreement Ch.18
     A reaction: Nice. Notoriously, anyone defending the correspondence theory of truth in terms of facts had better say what they mean by a 'fact'. Personally I take a fact to be a non-verbal, mind-independent situation in the world, so I disagree with Brandom.
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.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
It is possible that an omnipotent God might make one and two fail to equal three [Descartes]
     Full Idea: Since every basic truth depends on God's omnipotence, I would not dare to say that God cannot make it....that one and two should not be three.
     From: René Descartes (Letters to Antoine Arnauld [1645]), quoted by A.W. Moore - The Evolution of Modern Metaphysics 01.3
     A reaction: An unusual view. Most people would say that if Descartes can doubt something that simple, he should also doubt his reasons for believing in God's existence.