3 ideas
| 9879 | NF has no models, but just blocks the comprehension axiom, to avoid contradictions [Quine, by Dummett] |
| Full Idea: Quine's New Foundations system of set theory, devised with no model in mind, but on the basis of a hunch that a purely formal restriction on the comprehension axiom would block all contradictions. | |
| From: report of Willard Quine (New Foundations for Mathematical Logic [1937]) by Michael Dummett - Frege philosophy of mathematics Ch.18 | |
| A reaction: The point is that Quine (who had an ontological preference for 'desert landscapes') attempted to do without an ontological commitment to objects (and their subsequent models), with a purely formal system. Quine's NF is not now highly regarded. |
| 16640 | Form is the principle that connects a thing's constitution (rather than being operative) [Hill,N] |
| Full Idea: Form is the state and condition of a thing, a result of the connection among its material principles; it is a constituting principle, not an operative one. | |
| From: Nicholas Hill (Philosophia Epicurea [1610], n 35) | |
| A reaction: Pasnau presents this as a denial of form, but it looks to me like someone fishing for what form could be in a more scientific context. Aristotle would have approved of 'principles'. Hill seems to defend the categorical against the dispositional. |
| 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? |