Combining Texts

Ideas for 'Letters to Edward Stillingfleet', 'Intro to I: Classical Logic' and 'Frege on Knowing the Third Realm'

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2 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
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.
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Classical logic is bivalent, has excluded middle, and only quantifies over existent objects [Jacquette]
     Full Idea: Classical logic (of Whitehead, Russell, Gödel, Church) is a two-valued system of propositional and predicate logic, in which all propositions are exclusively true or false, and quantification and predication are over existent objects only.
     From: Dale Jacquette (Intro to I: Classical Logic [2002], p.9)
     A reaction: All of these get challenged at some point, though the existence requirement is the one I find dubious.