On Ramsey's 'Silly Delusion' Regarding Tractatus 5.53

In Giuseppe Primiero & Shahid Rahman (eds.), Acts of Knowledge - History, Philosophy and Logic. College Publications (2009)
We investigate a variant of the variable convention proposed at Tractatus 5.53ff for the purpose of eliminating the identity sign from logical notation. The variant in question is what Hintikka has called the strongly exclusive interpretation of the variables, and turns out to be what Ramsey initially (and erroneously) took to be Wittgenstein's intended method. We provide a tableau calculus for this identity-free logic, together with soundness and completeness proofs, as well as a proof of mutual interpretability with first-order logic with identity.
Keywords identity  Tractatus  Wittgenstein  Ramsey  variables
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Rohan French (2015). A Sequent Calculus for Urn Logic. Journal of Logic, Language and Information 24 (2):131-147.

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