Combining Texts

All the ideas for 'Reply to Foucher', 'Phil of Mathematics: why nothing works' and 'Alcibiades'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
I strongly believe in the actual infinite, which indicates the perfections of its author [Leibniz]
     Full Idea: I am so much for the actual infinite that instead of admitting that nature abhors it, as is commonly said, I hold that it affects nature everywhere in order to indicate the perfections of its author.
     From: Gottfried Leibniz (Reply to Foucher [1693], p.99)
     A reaction: I would have thought that, for Leibniz, while infinities indicate the perfections of their author, that is not the reason why they exist. God wasn't, presumably, showing off. Leibniz does not think we can actually know these infinities.
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
How can you contemplate Platonic entities without causal transactions with them? [Putnam]
     Full Idea: Platonism has the attendant problem of how we can succeed in thinking about and referring to entities we can have no causal transactions with.
     From: Hilary Putnam (Phil of Mathematics: why nothing works [1979], Modalism)
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
Man uses his body, so must be separate from it [Anon (Plat), by Maslin]
     Full Idea: A man uses his whole body to do things, and therefore, just as a person is distinct from a tool he uses, so it follows that a man must be distinct from his body.
     From: report of Anon (Plat) (Alcibiades [c.340 BCE]) by Keith T. Maslin - Introduction to the Philosophy of Mind 2.3
     A reaction: This 'follows'? Every part of my body and my mind makes 'use' of every other part. My body uses my mind to achieve reproduction. He presumably means 'person' rather than 'man'.