SELF-REFERENCE, THEORY OF TYPES, AND CATEGORIZATION IN WITTGENSTEIN’S PICTURE THEORY OF STATEMENTS
DOI: 10.23951/2312-7899-2021-4-213-233
The article analyzes the source of logical paradoxes Bertrand Russell identified in the foundations of mathematics proposed by Gottlob Frege. Russell proposed self-reference of expressions as the source of paradoxes. To solve paradoxes, he developed the simple and ramified theory of types. Ontological presuppositions are well substantiated for his theory; they depend on semantic, but not syntactic, preference. Contemporary approaches in symbolical logic prefer syntactic methods. But Wittgenstein’s approach in his Tractatus Logico-Philosophicus is more interesting, especially from the perspective of his picture theory of statements.
Keywords: logical paradoxes, Bertrand Russell, simple and ramified theory of types, semantic and syntactic approach, Ludwig Wittgenstein’s picture theory of statements
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Issue: 4, 2021
Series of issue: Issue 4
Rubric: ARTICLES
Pages: 213 — 233
Downloads: 804