3 ideas
| 17831 | Cantor gives informal versions of ZF axioms as ways of getting from one set to another [Cantor, by Lake] |
| Full Idea: Cantor gives informal versions of the axioms of ZF as ways of getting from one set to another. | |
| From: report of George Cantor (Later Letters to Dedekind [1899]) by John Lake - Approaches to Set Theory 1.6 | |
| A reaction: Lake suggests that it should therefore be called CZF. |
| 20959 | Concepts are only analytic once the predicate is absorbed into the subject [Schleiermacher] |
| Full Idea: The difference between analytic and synthetic judgements is an unimportant fluid one. 'Ice melts' is analytic if it is already taken up into the concept of ice, and synthetic if not yet taken up. It is just a different state of the formation of concepts. | |
| From: Friedrich Schleiermacher (Dialektik [1833], p.563), quoted by Andrew Bowie - Introduction to German Philosophy 8 'Scientific' | |
| A reaction: [compressed] I wonder if Quine ever encountered this quotation. The idea refers to Kant's notion of analyticity, and makes the good point that predicates only become 'contained in the subject' once the situation is very familiar. |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
| Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice. | |
| From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where? |