Ръселовият парадокс на класа от всички пропозиции: разширяващи се квантори и семантична устойчивост
Russell's paradox of the totality of propositions: Extensible quantifiers and semantic stability

Summary/Abstract: The objective of this paper is to draw some probable conclusions founded on close scrutiny of Russell’s ‘other’ contradiction – the paradox of the totality of propositions. It is suggested that this antinomy casts serious doubts on unrestricted propositional quantifi cation which is presupposed in the traditional rendering of logical laws as universally valid principles. That is why here I propose a strictly alternative interpretation of quantifi cation founded on Dummett’s theory of indefi nite extensibility which is couched in the formalism of Feferman’s schematically presented theories. This train of reasoning suggests a natural delineation of the realm of logic – it comprises precisely those notions that are semantically stable, i.e. retain constant interpretation in the process of indefi nite extension of the initial domain of reasoning.

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