On the Logical Content of the Weak Law of Extensionality and its Relation to the Successive Simplification of the Original Axiom of Leśniewski’s Ontology II

Toshiharu Waragai


This paper treats the logical character and content of the weak form of the law of extensionality which I named WΩ (weak omega) and the role it plays in the so-called successive simplification of the sole axiom of Lesńiewski’s Ontology. In doing so, the present author defined singular sentences of the form ‘aεb’ by appealing to the idea we find in Leibniz and Garlandus Compotista.


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