8 ideas
17743 | De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki] |
Full Idea: In 1846 De Morgan introduced the enormously influential notion of a possibly arbitrary and stipulated 'universe of discourse'. It replaced Boole's original - and metaphysically a bit suspect - universe of 'all things'. | |
From: report of Augustus De Morgan (works [1846]) by Michal Walicki - Introduction to Mathematical Logic History D.1.1 | |
A reaction: This not only brings formal logic under control, but also reflects normal talk, because there is always an explicit or implicit domain of discourse when we talk. Of virtually any conversation, you can say what it is 'about'. |
304 | Beautiful things must be different from beauty itself, but beauty itself must be present in each of them [Plato] |
Full Idea: Are fine things different from or identical to fineness? They are different from fineness itself, but fineness itself is in a sense present in each of them. | |
From: Plato (Euthydemus [c.379 BCE], 301a) |
16120 | Knowing how to achieve immortality is pointless without the knowledge how to use immortality [Plato] |
Full Idea: If there exists the knowledge of how to make men immortal, but without the knowledge of how to use this immortality, there seems to be no value in it. | |
From: Plato (Euthydemus [c.379 BCE], 289b) | |
A reaction: I take this to be not a gormless utilitarianism about knowledge, but a plea for holism, that knowledge only has value as part of some larger picture. The big view is the important view. He's wrong, though. Work out the use later. |
303 | Say how many teeth the other has, then count them. If you are right, we will trust your other claims [Plato] |
Full Idea: If each of you says how many teeth the other has, and when they are counted we find you do know, we will believe your other claims as well. | |
From: Plato (Euthydemus [c.379 BCE], 294c) | |
A reaction: This is the clairvoyant problem for reliabilism, if truth is delivered for no apparent reason. Useful, but hardly knowledge. HOW did you know the number of teeth? |
302 | What knowledge is required to live well? [Plato] |
Full Idea: What knowledge would enable us to live finely for the rest of our lives? | |
From: Plato (Euthydemus [c.379 BCE], 293a) | |
A reaction: A successful grasp of other people's points of view might lead to respect for them. Also a realisation that we are not isolated individuals. We really are all in it together. |
301 | Only knowledge of some sort is good [Plato] |
Full Idea: Nothing is good except knowledge of some sort. | |
From: Plato (Euthydemus [c.379 BCE], 292b) | |
A reaction: I've heard it suggested that truth is the only value. This is the Socratic idea that moral goodness is a matter of successful rational judgement. Not convinced, but interesting. |
305 | Something which lies midway between two evils is better than either of them [Plato] |
Full Idea: Something which is composed of two factors which are bad for different purposes and lies midway between them is better than either of the factors. | |
From: Plato (Euthydemus [c.379 BCE], 306a) |
20239 | Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche] |
Full Idea: Hesiod reckons envy among the effects of the good and benevolent Eris, and there was nothing offensive in according envy to the gods. ...Likewise the Greeks were different from us in their evaluation of hope: one felt it to be blind and malicious. | |
From: report of Hesiod (works [c.700 BCE]) by Friedrich Nietzsche - Dawn (Daybreak) 038 | |
A reaction: Presumably this would be understandable envy, and unreasonable hope. Ridiculous envy can't possibly be good, and modest and sensible hope can't possibly be bad. I suspect he wants to exaggerate the relativism. |