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2 ideas
5637 | Nowadays logic is seen as the science of extensions, not intensions [Scruton] |
Full Idea: Logicians have come increasingly to realise that logic is the science not of the intension, but of the extension of terms. | |
From: Roger Scruton (Short History of Modern Philosophy [1981], Ch.4) | |
A reaction: I take this to be because the notion of a 'set' is basic, which is defined strictly in terms of its members. This move is probably because we can be clear about extensions, but not intensions. Tidiness is no substitute for complex truth. |
13479 | Given that thinking aims at truth, logic gives universal rules for how to do it [Burge] |
Full Idea: The laws of logic - which are constituted by atemporal thoughts and atemporal subject matter - provide universal prescriptions of how one ought to think, given that one's thinking has the function of attaining truth. | |
From: Tyler Burge (Frege on Knowing the Third Realm [1992], p.316) | |
A reaction: Burge is giving, and endorsing, Frege's view. Burge is fighting a rearguard action, when logical systems keep proliferating. See Idea 10282. I sympathise with the dream of Burge and Frege. |