3 ideas
8970 | Our notion of identical sets involves identical members, which needs absolute identity [Hawthorne] |
Full Idea: Our conceptual grip on the notion of a set is founded on the axiom of extensionality: a set x is the same as a set y iff x and y have the same members. But this axiom deploys the notion of absolute identity ('same members'). | |
From: John Hawthorne (Identity [2003], 3.1) | |
A reaction: Identity seems to be a primitive, useful and crucial concept, so don't ask what it is. I suspect that numbers can't get off the ground without it (especially, in view of the above, if you define numbers in terms of sets). |
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? |
23261 | A people, not government, creates a constitution, which is essential for legitimacy [Paine] |
Full Idea: A constitution is not the act of a government, but of a people constituting a government, and a government without a constitution is power without right. | |
From: Thomas Paine (Rights of Man [1792], Ch.7), quoted by A.C. Grayling - The Good State 5 | |
A reaction: A constitution looks like the ultimate focus of a social contract (though Greeks had them long ago). It is hard to say why a government should consider itself to be sovereign if it hasn't got it in writing. |