5 ideas
10051 | The axiom of infinity is not a truth of logic, and its adoption is an abandonment of logicism [Kneale,W and M] |
Full Idea: There is something profoundly unsatisfactory about the axiom of infinity. It cannot be described as a truth of logic in any reasonable use of that phrase, and so the introduction of it as a primitive proposition amounts to the abandonment of logicism. | |
From: W Kneale / M Kneale (The Development of Logic [1962], XI.2) | |
A reaction: It seems that the axiom is essentially empirical, and it certainly makes an existential claim which seems to me (intuitively) to have nothing to do with logic at all. |
22688 | The Aristotelian idea that choices can be perceived needs literary texts to expound it [Nussbaum] |
Full Idea: To show forth the Aristotelian claim that 'the decision rests with perception', we need - either side by side with a philosophical outline or inside it - literary texts which display the complexity, indeterminacy, and sheer difficulty of moral choice. | |
From: Martha Nussbaum (The Golden Bowl, and Lit as Moral Philosophy [1983], II) | |
A reaction: Berys Gaut observes that this depends on a particularist view of moral choice (usually seen as Aristotelian), with little interest in principles. |
5049 | Intelligent pleasure is the perception of beauty, order and perfection [Leibniz] |
Full Idea: An intelligent being's pleasure is simply the perception of beauty, order and perfection. | |
From: Gottfried Leibniz (A Résumé of Metaphysics [1697], §18) | |
A reaction: Leibniz seems to have inherited this from the Greeks, especially Pythagoras and Plato. Buried in Leibniz's remark I see the Christian fear of physical pleasure. He should have got out more. Must an intelligent being always be intelligent? |
5048 | Perfection is simply quantity of reality [Leibniz] |
Full Idea: Perfection is simply quantity of reality. | |
From: Gottfried Leibniz (A Résumé of Metaphysics [1697], §11) | |
A reaction: An interesting claim, but totally beyond my personal comprehension. I presume he inherited 'quantity of reality' from Plato, e.g. as you move up the Line from shadows to Forms you increase the degree of reality. I see 'real' as all-or-nothing. |
5050 | Evil serves a greater good, and pain is necessary for higher pleasure [Leibniz] |
Full Idea: Evils themselves serve a greater good, and the fact that pains are found in minds is necessary if they are to reach greater pleasures. | |
From: Gottfried Leibniz (A Résumé of Metaphysics [1697], §23) | |
A reaction: How much pain is needed to qualify for the 'greater pleasures'? Some people receive an awful lot. I am not sure exactly how an evil can 'serve' a greater good. Is he recommending evil? |