3 ideas
14235 | Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile] |
Full Idea: If the rule is asserted 'Given any well-determined objects, they can be collected into a set by an application of the 'set of' operation', then on the usual account of 'they' this is a tautology. Collection comes automatically with this form of reference. | |
From: James Cargile (Paradoxes: Form and Predication [1979], p.115), quoted by Oliver,A/Smiley,T - What are Sets and What are they For? Intro | |
A reaction: Is this a problem? Given they are well-determined (presumably implying countable) there just is a set of them. That's what set theory is, I thought. Of course, the iterative view talks of 'constructing' the sets, but the construction looks unstoppable. |
14933 | Scientific properties are defined by the laws that embody them [Psillos, by Ladyman/Ross] |
Full Idea: For Psillos, properties in mature science are defined by the laws in which they feature. | |
From: report of Stathis Psillos (Scientific Realism [1999]) by J Ladyman / D Ross - Every Thing Must Go 3.5 | |
A reaction: This is a perfect example of the Humean approach getting everything the wrong way round. Laws are not primitives from which we derive our account of nature - they are generalisations built up from the behaviour of prior properties. |
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? |