Combining Texts

Ideas for 'fragments/reports', 'An Inquiry into Meaning and Truth' and 'The Philosophy of Logic'

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

display all the ideas for this combination of texts


1 idea

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
Very large sets should be studied in an 'if-then' spirit [Putnam]
     Full Idea: Sets of a very high type or very high cardinality (higher than the continuum, for example), should today be investigated in an 'if-then' spirit.
     From: Hilary Putnam (The Philosophy of Logic [1971], p.347), quoted by Penelope Maddy - Naturalism in Mathematics
     A reaction: Quine says the large sets should be regarded as 'uninterpreted'.