3 ideas
9626 | A structure is an abstraction, focussing on relationships, and ignoring other features [Shapiro] |
Full Idea: A structure is the abstract form of a system, focussing on the interrelationships among the objects, and ignoring any features of them that do not affect how they relate to other objects in the system. | |
From: Stewart Shapiro (Structure and Ontology [1989], 146), quoted by James Robert Brown - Philosophy of Mathematics Ch.4 | |
A reaction: I find this account very attractive, even though it appeals to supposedly outmoded psychological abstractionism. It seems pretty close to Aristotle's view of things. Shapiro's account must face up to Frege's worries about these matters. |
20444 | If paintings could be perfectly duplicated, it would be a multiple art form [Currie, by Bacharach] |
Full Idea: Currie claims that, in principle, all art forms are multiple. A superxerox machine, duplicating a painting molecule by molecule, would show that paintings are singular only contingently. | |
From: report of Gregory Currie (An Ontology of Art [1988]) by Sondra Bacharach - Arthur C. Danto 3 | |
A reaction: This strikes me as correct. An original painting would then have the same status as the manuscript of a poem, giving it an authority, and being moving by its personal contact with the artist. But worth far less than current original paintings. |
5271 | Prejudice apart, push-pin has equal value with music and poetry [Bentham] |
Full Idea: Prejudice apart, the game of push-pin is of equal value with the arts and science of music and poetry. | |
From: Jeremy Bentham (Constitutional Code I [1827], p.139), quoted by J.R. Dinwiddy - Bentham p.114 | |
A reaction: Mill quoted this with implied outrage, but Bentham was attacking public subsidies to the arts when he said it. It is a basic idea in the debate on pleasure - that pleasures are only distinguished by their intensity, not some other value. |