Combining Texts

Ideas for 'Defending the Axioms', 'Thinking About Logic' and 'Problems in Personal Identity'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

2 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite

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.

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis

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)