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Ideas for 'Axiomatic Theories of Truth (2005 ver)', 'The Philosophy of Logical Atomism' and 'Critique of the Gotha Program'

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3 ideas

5. Theory of Logic / E. Structures of Logic / 1. Logical Form
In a logically perfect language, there will be just one word for every simple object [Russell]
     Full Idea: In a logically perfect language, there will be one word and no more for every simple object.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §II)
     A reaction: In other words, there would be no universals, only names? All that matters is that a language can successfully refer (unambiguously) to anything it wishes to. There must be better ways than Russell's lexical explosion.
Romulus does not occur in the proposition 'Romulus did not exist' [Russell]
     Full Idea: Romulus does not occur in the proposition 'Romulus did not exist'.
     From: Bertrand Russell (The Philosophy of Logical Atomism [1918], §VI)
     A reaction: A very nice paradoxical assertion, which captures the problem of finding the logical form for negative existential statements. Presumably the proposition refers to the mythical founder of Rome, though. He is not, I suppose, rigidly designated.
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach]
     Full Idea: Quantification over (certain) properties can be mimicked in a language with a truth predicate by quantifying over formulas. Instead of saying that Tom has the property of being a poor philosopher, we can say 'x is a poor philosopher' is true of Tom.
     From: Volker Halbach (Axiomatic Theories of Truth (2005 ver) [2005], 1.1)
     A reaction: I love this, and think it is very important. He talks of 'mimicking' properties, but I see it as philosophers mistakenly attributing properties, when actually what they were doing is asserting truths involving certain predicates.