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G. E. M. Anscombe had this to say about propositions in Wittgenstein's Tractatus: (page 137)

It seems likely enough, indeed, that Wittgenstein objected to Cantor's result even at this date, and would not have accepted a Cantorian device for specifying an infinite subset of the elementary propositions such that a truth-function of it could not be generated by his formula. For though he came to think his idea wrong, it was certainly not through any conversion to Cantor that this happened. On the contrary: whether or no he already objected to Cantor at the time when he wrote the Tractatus, he certainly did so later.

What was Wittgenstein's argument against Cantor's transfinite numbers and where did he make his objection?


Anscombe, G. E. M. An Introduction to Wittgenstein's Tractatus. 1971. Reprinted by St. Augustine's Press.

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