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Ideas for 'Parmenides', 'Thinking About Logic' and 'works'

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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Infinite cuts and successors seems to suggest an actual infinity there waiting for us [Read]
     Full Idea: Every potential infinity seems to suggest an actual infinity - e.g. generating successors suggests they are really all there already; cutting the line suggests that the point where the cut is made is already in place.
     From: Stephen Read (Thinking About Logic [1995], Ch.8)
     A reaction: Finding a new gambit in chess suggests it was there waiting for us, but we obviously invented chess. Daft.