display all the ideas for this combination of texts
2 ideas
11025 | 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. |
17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
Full Idea: One form of the Continuum Hypothesis is the claim that every infinite set of reals is either countable or of the same size as the full set of reals. | |
From: Penelope Maddy (Defending the Axioms [2011], 2.4 n40) |