12 ideas
16123 | Whenever you perceive a community of things, you should also hunt out differences in the group [Plato] |
Full Idea: The rule is that when one perceives first the community between the members of a group of many things, one should not desist until one sees in it all those differences that are located in classes. | |
From: Plato (The Statesman [c.356 BCE], 285b) | |
A reaction: He goes on to recommend the opposite as well - see community even when there appears to be nothing but differences. I take this to be analysis, just as much as modern linguistic approaches are. Analyse the world, not language. |
16125 | To reveal a nature, divide down, and strip away what it has in common with other things [Plato] |
Full Idea: Let's take the kind posited and cut it in two, .then follow the righthand part of what we've cut, and hold onto things that the sophist is associated with until we strip away everything he has in common with other things, then display his peculiar nature. | |
From: Plato (The Statesman [c.356 BCE], 264e) | |
A reaction: This seems to be close to Aristotle's account of definition, when he is trying to get at what-it-is-to-be some thing. But if you strip away everything the definiendum has in common with other things, will anything remain? |
16124 | No one wants to define 'weaving' just for the sake of weaving [Plato] |
Full Idea: I don't suppose that anyone with any sense would want to hunt down the definition of 'weaving' for the sake of weaving itself. | |
From: Plato (The Statesman [c.356 BCE], 285d) | |
A reaction: The point seems to be that the definition brings out the connections between weaving and other activities and objects, thus enlarging our understanding. |
15938 | Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett] |
Full Idea: The platonist destroys the whole essence of infinity, which lies in the conception of a structure which is always in growth, precisely because the process of construction is never completed. | |
From: Michael Dummett (Elements of Intuitionism [1977], p.57), quoted by Thomas J. McKay - Plural Predication | |
A reaction: I don't warm to intuitionism, but I warm to this conception of infinity. Completed infinities are convenient reifications for mathematicians. |
15939 | For intuitionists it is constructed proofs (which take time) which make statements true [Dummett] |
Full Idea: For an intuitionist a mathematical statement is rendered true or false by a proof or disproof, that is, by a construction, and constructions are effected in time. | |
From: Michael Dummett (Elements of Intuitionism [1977], p.336), quoted by Shaughan Lavine - Understanding the Infinite VI.2 | |
A reaction: Lavine is quoting this to draw attention to the difficulties of thinking of it as all taking place 'in time', especially when dealing with infinities. |
5961 | The soul gets its goodness from god, and its evil from previous existence. [Plato] |
Full Idea: From its composer the soul possesses all beautiful things, but from its former condition, everything that proves to be harsh and unjust in heaven. | |
From: Plato (The Statesman [c.356 BCE], 273b) | |
A reaction: A neat move to explain the origins of evil (or rather, to shift the problem of evil to a long long way from here). This view presumably traces back to the views of Empedocles on good and evil. Can the soul acquire evil in its current existence? |
7296 | 'Grue' is not a colour [Milsted] |
Full Idea: 'Grue' is not a colour. | |
From: Tom Milsted (talk [2006]), quoted by PG - Db (ideas) | |
A reaction: This simple observation strikes me as rather crucial in assessing Goodman's paradox. Blue is a colour, but grue is some sort of behaviour. Blue is a secondary quality, but grue seems to be a primary quality. |
283 | The question of whether or not to persuade comes before the science of persuasion [Plato] |
Full Idea: The science of whether one must persuade or not must rule over the science capable of persuading. | |
From: Plato (The Statesman [c.356 BCE], 304c) | |
A reaction: Plato probably thinks that reason has to be top of the pyramid, but there is always the Nietzschean/romantic question of why we should place such a value on what is rational. |
282 | Non-physical beauty can only be shown clearly by speech [Plato] |
Full Idea: The bodiless things, being the most beautiful and the greatest, are only shown with clarity by speech and nothing else. | |
From: Plato (The Statesman [c.356 BCE], 286a) | |
A reaction: Unfortunately this will be true of warped and ugly ideas as well. |
281 | The arts produce good and beautiful things by preserving the mean [Plato] |
Full Idea: It is by preserving the mean that arts produce everything that is good and beautiful. | |
From: Plato (The Statesman [c.356 BCE], 284b) |
22559 | Democracy is the worst of good constitutions, but the best of bad constitutions [Plato, by Aristotle] |
Full Idea: Plato judged that when the constitution is decent, democracy is the worst of them, but when they are bad it is the best. | |
From: report of Plato (The Statesman [c.356 BCE], 302e) by Aristotle - Politics 1289b07 | |
A reaction: Aristotle denies that a good oligarchy is superior. What of technocracy? The challenge is to set up institutions which ensure the health of the democracy. The big modern problem is populists who lie. |
279 | Only divine things can always stay the same, and bodies are not like that [Plato] |
Full Idea: It is fitting for only the most divine things of all to be always the same and in the same state and in the same respects, and the nature of body is not of this ordering. | |
From: Plato (The Statesman [c.356 BCE], 269b) |