Classical mereology is not elementarily axiomatizable

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Abstract

By the classical mereology I mean a theory of mereological structures in the sense of [10]. In [7] I proved that the class of these structures is not elementarily axiomatizable. In this paper a new version of this result is presented, which according to my knowledge is the first such presentation in English. A relation of this result to a certain Hsing-chien Tsai’s theorem from [13] is emphasized.

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classical mereology, mereological structures, the absence of elementary definability of classical mereology

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Logic and Logical Philosophy, No. 4, Vol. 24, pp. 485-498

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