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21546
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We can't sharply distinguish variables, domains and values, if symbols frighten us [Russell]
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Full Idea:
Whoever is afraid of symbols can hardly hope to acquire exact ideas where it is necessary to distinguish 1) the variable in itself as opposed to its value, 2) any value of the variable, 3) all values, 4) some value.
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From:
Bertrand Russell (Review: Meinong 'Untersuchungen zur..' [1905], p.84)
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A reaction:
Not the best example, perhaps, of the need for precision, but a nice illustration of the new attitude Russell brought into philosophy.
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21545
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I prefer to deny round squares, and deal with the difficulties by the theory of denoting [Russell]
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Full Idea:
I should prefer to say that there is no such object as 'the round square'. The difficulties of excluding such objects can, I think, be avoided by the theory of denoting.
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From:
Bertrand Russell (Review: Meinong 'Untersuchungen zur..' [1905], p.81)
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A reaction:
The 'theory of denoting' is his brand new theory of definite descriptions, which makes implicit claims of existence explicit, so that they can be judged. Why can't we just say that a round square can be an intentional object, but not a real object?
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18284
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Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]
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Full Idea:
Whereas particular reality statements are in principle completely verifiable or falsifiable, things are different for general reality statements: they can indeed be conclusively falsified, they can acquire a negative truth value, but not a positive one.
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From:
Karl Popper (Two Problems of Epistemology [1932], p.256), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 18 'Laws'
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A reaction:
This sounds like a logician's approach to science, but I prefer to look at coherence, where very little is actually conclusive, and one tinkers with the theory instead.
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