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2 ideas
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. |
17988 | Quantification can't all be substitutional; some reference is obviously to objects [Hofweber] |
Full Idea: The view that all quantification is substitutional is not very plausible in general. Some uses of quantifiers clearly seem to have the function to make a claim about a domain of objects out there, no matter how they relate to the terms in our language. | |
From: Thomas Hofweber (Inexpressible Properties and Propositions [2006], 2.1) | |
A reaction: Robust realists like myself are hardly going to say that quantification is just an internal language game. |