6 ideas
10247 | We have no adequate logic at the moment, so mathematicians must create one [Veblen] |
Full Idea: Formal logic has to be taken over by mathematicians. The fact is that there does not exist an adequate logic at the present time, and unless the mathematicians create one, no one else is likely to do so. | |
From: Oswald Veblen (Presidential Address of Am. Math. Soc [1924], 141), quoted by Stewart Shapiro - Philosophy of Mathematics | |
A reaction: This remark was made well after Frege, but before the advent of Gödel and Tarski. That implies that he was really thinking of meta-logic. |
12354 | A 'categorial' property is had by virtue of being or having an item from a category [Wedin] |
Full Idea: A 'categorial' property is a property something has by virtue of being or having an item from one of the categories. | |
From: Michael V. Wedin (Aristotle's Theory of Substance [2000], V.5) | |
A reaction: I deny that these are 'properties'. A thing is categorised according to its properties. To denote the category as a further property is the route to madness (well, to a regress). |
12358 | Substance is a principle and a kind of cause [Wedin] |
Full Idea: Substance [ousia] is a principle [arché] and a kind of cause [aitia]. | |
From: Michael V. Wedin (Aristotle's Theory of Substance [2000], 1041a09) | |
A reaction: The fact that substance is a cause is also the reason why substance is the ultimate explanation. It is here that I take the word 'power' to capture best what Aristotle has in mind. |
12346 | Form explains why some matter is of a certain kind, and that is explanatory bedrock [Wedin] |
Full Idea: The form of a thing (of a given kind) explains why certain matter constitutes a thing of that kind, and with this, Aristotle holds, we have reached explanatory bedrock. | |
From: Michael V. Wedin (Aristotle's Theory of Substance [2000], Intro) | |
A reaction: We must explain an individual tiger which is unusually docile. It must have an individual form which makes it a tiger, but also an individual form which makes it docile. |
22817 | Citizenship involves a group of mutually supporting rights, which create community and equality [Miller,D] |
Full Idea: The idea of citizenship is that rights support each other. Protective and welfare rights provide a basis for a political role. This underpins a sense of membership, and an obligation to provide welfare. Rights confer equal status and self-respect. | |
From: David Miller (Community and Citizenship [1989], 3) | |
A reaction: A helpful eludation of what a richer concept of citizenship than mere membership might look like. Communitarians have a different concept of rights from that of liberals. |
22816 | Socialists reject nationality as a false source of identity [Miller,D] |
Full Idea: The socialist tradition has been overwhelmingly hostile to nationality as a source of identity, usually regarding it merely as an artificially created impediment to the brotherhood of man. | |
From: David Miller (Community and Citizenship [1989], 2) | |
A reaction: I have some sympathy with this, especially when nationalism is expressed in terms of enemies, but the question of what community a person can plausibly identify with is difficult. We start in hunter gather tribes of several hundred. |