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Single Idea 10042

[from 'Russell's Mathematical Logic' by Kurt Gödel, in 5. Theory of Logic / G. Quantification / 2. Domain of Quantification ]

Full Idea

One may, on good grounds, deny that reference to a totality necessarily implies reference to all single elements of it or, in other words, that 'all' means the same as an infinite logical conjunction.

Gist of Idea

Reference to a totality need not refer to a conjunction of all its elements

Source

Kurt Gödel (Russell's Mathematical Logic [1944], p.455)

Book Reference

'Philosophy of Mathematics: readings (2nd)', ed/tr. Benacerraf/Putnam [CUP 1983], p.455