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All the ideas for 'fragments/reports', 'works' and 'Phil of Mathematics: why nothing works'

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3 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
     Full Idea: Philosophy says it is not right even to stretch out a finger without some reason.
     From: Epictetus (fragments/reports [c.57], 15)
     A reaction: The key point here is that philosophy concerns action, an idea on which Epictetus is very keen. He rather despise theory. This idea perfectly sums up the concept of the wholly rational life (which no rational person would actually want to live!).
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)
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
We accept substance, to avoid infinite backwards chains of meaning [Wittgenstein, by Potter]
     Full Idea: Wittgenstein is the most renowned modern proponent of substance, and argued that sense must be determinate ...and that any conceptual scheme which genuinely represents a world cannot contain infinite backward chains of meaning.
     From: report of Ludwig Wittgenstein (works [1935]) by Michael Potter - Set Theory and Its Philosophy 03.3
     A reaction: This is a key idea for explaining the somewhat surprising revival of the notion of substance in modern times, when it appeared to have been buried by atomism in the seventeenth century. The new argument is a semantic one.