Combining Texts

All the ideas for 'Necessary Existents', 'Quantifiers and Propositional Attitudes' and 'Intro to I: Classical Logic'

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3 ideas

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.
19. Language / A. Nature of Meaning / 10. Denial of Meanings
Intensions are creatures of darkness which should be exorcised [Quine]
     Full Idea: Intensions are creatures of darkness and I shall rejoice with the reader when they are exorcised.
     From: Willard Quine (Quantifiers and Propositional Attitudes [1955], §II)
     A reaction: Quine seems to be in a diminshing minority with this view. For 'intensions' read 'meanings', presumably.
19. Language / D. Propositions / 3. Concrete Propositions
Propositions (such as 'that dog is barking') only exist if their items exist [Williamson]
     Full Idea: A proposition about an item exists only if that item exists... how could something be the proposition that that dog is barking in circumstances in which that dog does not exist?
     From: Timothy Williamson (Necessary Existents [2002], p.240), quoted by Trenton Merricks - Propositions
     A reaction: This is a view of propositions I can't make sense of. If I'm under an illusion that there is a dog barking nearby, when there isn't one, can I not say 'that dog is barking'? If I haven't expressed a proposition, what have I done?