3 ideas
23505 | Aristotelian logic cannot express 'Everyone loves someone' [White,RM] |
Full Idea: There is no way within Aristotelian logic that you can give a proper expression for the logical form of such a proposition as 'Everyone loves someone'. | |
From: Roger M. White (Wittgenstein's 'Tractatus Logico-Philosophicus' [2006], 1 'Frege') | |
A reaction: This needs a combination of two different quantifiers. |
10801 | Either reference really matters, or we don't need to replace it with substitutions [Quine] |
Full Idea: When we reconstrue quantification in terms of substituted expressions rather than real values, we waive reference. ...but if reference matters, we cannot afford to waive it as a category; and if it does not, we do not need to. | |
From: Willard Quine (Reply to Professor Marcus [1962], p.183) | |
A reaction: An odd dilemma to pose. Presumably the substitution account is an attempt to explain how language actually works, without mentioning dubious direct ontological commitment in the quantifiers. |
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? |