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). |
| 1556 | By nature people are close to one another, but culture drives them apart [Hippias] |
| Full Idea: I regard you all as relatives - by nature, not by convention. By nature like is akin to like, but convention is a tyrant over humankind and often constrains people to act contrary to nature. | |
| From: Hippias (fragments/reports [c.430 BCE]), quoted by Plato - Protagoras 337c8 |
| 7604 | Amos was the first prophet to emphasise justice and compassion [Amos, by Armstrong,K] |
| Full Idea: Amos was the first prophet to emphasise social justice and compassion. | |
| From: report of Amos (30: Book of Amos [c.740 BCE]) by Karen Armstrong - A History of God | |
| A reaction: It increasingly strikes me that early religious thinkers were actually working out the rules for good community living, but seeing them through the distorting spectacles of religion as a means to post-life salvation. |