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The Skolem-Löwenheim theorem in toposes. II

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Abstract

This paper is a continuation of the investigation from [13]. The main theorem states that the general and the existential quantifiers are (χ, λ-reducible in some Grothendieck toposes. Using this result and Theorems 4.1, 4.2 [13] we get the downward Skolem-Löwenheim theorem for semantics in these toposes.

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  1. The Institute of Mathematics, Warsaw University, Poland

    Marek Zawadowski

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  1. Marek Zawadowski
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Zawadowski, M. The Skolem-Löwenheim theorem in toposes. II. Stud Logica 44, 25–38 (1985). https://doi.org/10.1007/BF00370808

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  • DOI: https://doi.org/10.1007/BF00370808

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