科学基礎論研究
Online ISSN : 1884-1236
Print ISSN : 0022-7668
ISSN-L : 0022-7668
述定と名辞の単称性に関する三つの原理に基づく論理的存在論
藁谷 敏晴小山田 圭一
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2011 年 39 巻 1 号 p. 31-43

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In this paper, we present a logical system which is constructed on the following principles: I) the singular proposition is a universal proposition with a singular term as its subject; II) the identity proposition is a singular proposition with a singular term as its predicate; III) a singular term is a term which designates the only one object. The resulting system is shown to be inferentially equivalent to the original system of Lesniewski's Ontology dating from 1920. We shall present some results on the comprehension axiom and the law of extensionality, too.
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© 2011 科学基礎論研究
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