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arXiv · 2412.03251

A Cut-free, Sound and Complete Russellian Theory of Definite Descriptions

Andrzej Indrzejczak·Nils Kürbis
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Abstract

We present a sequent calculus for first-order logic with lambda terms and definite descriptions. The theory formalised by this calculus is essentially Russellian, but avoids some of its well known drawbacks and treats definite description as genuine terms. A constructive proof of the cut elimination theorem and a Henkin-style proof of completeness are the main results of this contribution.

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Andrzej Indrzejczak, Nils Kürbis. 2024-12-04. A Cut-free, Sound and Complete Russellian Theory of Definite Descriptions. https://doi.org/10.1007/978-3-031-43513-3_7

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