Combining Texts

All the ideas for 'Science and Method', 'Frege on Apriority' and 'God in Plato'

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4 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / c. Classical philosophy

23889	Among the Greeks Aristotle is the only philosopher in the modern style [Weil]
	Full Idea: In Greece, Aristotle is perhaps the only philosopher in the modern sense, and he is entirely outside the Greek tradition.
	From: Simone Weil (God in Plato [1942], p.45)
	A reaction: She sees Plato as embodying the true tradition. Everything Aristotle writes is 'peri phusis' (about nature), and that is a standard topic of philosophy right from the start. She emphasises Plato long historical roots. Pythagoras is key.

6. Mathematics / A. Nature of Mathematics / 2. Geometry

10245	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.

9159	You can't simply convert geometry into algebra, as some spatial content is lost [Burge]
	Full Idea: Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of geometrical propositions seems to me to be thereby lost. Pure geometry involves spatial content, even if abstracted from physical space.
	From: Tyler Burge (Frege on Apriority [2000], IV)
	A reaction: This supports Frege's view (against Quine) that geometry won't easily fit into the programme of logicism. I agree with Burge. You would be focusing on the syntax of geometry, and leaving out the semantics.

28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof

23892	The only legitimate proof of God by order derives from beauty [Weil]
	Full Idea: The only legitimate proof [of God's existence] from the order of the world is the proof from the beauty of the world.
	From: Simone Weil (God in Plato [1942], p.89)
	A reaction: She finds this proof in Plato. Hume's critique never (I think) mentions beauty, although in the 18thC love of the sublime could play that role. For me, the human experience of beauty doesn't have such cosmic significance.