3 ideas
4032 | The problem of universals is how many particulars can all be of the same 'type' [Armstrong] |
Full Idea: The problem of universals is the problem of how numerically different particulars can nevertheless be identical in nature, all be of the same 'type'. | |
From: David M. Armstrong (Nominalism and Realism [1978], p.41), quoted by DH Mellor / A Oliver - Introduction to 'Properties' §7 | |
A reaction: A nice statement of the problem. As usual, the question is whether the 'sameness' is a feature of nature, or a product of human thought |
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). |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |