A Critical inquiry into the demarcation of logical constants

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2013

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Beygu, Tankut

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The dissertation aims to set out a methodological framework conducive to further research into the demarcation problem of logical constants through a critical examination of the principal proposals for the problem. Logical constants should be characterised so as the essential values of logic, i.e., necessity, normativity and formality, are secured. Formality is central to the proposed framework in consideration of its relation to validity; necessity and normativity are established with reference to formality. Logical constanthood is analysed into logicality and constanthood to explore the conditions and constraints on logical form. On the purpose of their determination, a Wittgensteinian stance is endorsed, focusing on the view of language as a reflexive autonomous realm. The autonomy of language unfolds a specific viewpoint that indicates that logical form is existentially grounded in the possibilities presented by the autonomy. v Gentzen’s natural deduction and sequent calculi are adopted as the proper perspectives to discuss the relations of logicality and constanthood to formalisation. Logical constants are required to be fixed so that the resultant logical form is sterile of content and semantically inert with respect to argument content. In addition to the conditions of harmony in logical form, mutual disharmony is introduced. Analytic and grammatical truths are specified as constraints to logical form. In particular, the conservativeness condition is found to be irrelevant to logical form. The framework incorporates methodological pluralism as a probe into the understanding of logicality. The dissertation suggests a bidimensional programme of research related to formal conditions and the Wittgensteinian grammatical constraints.

Subject Keywords

Logic., Logic, Symbolic and mathematical.

URI

http://etd.lib.metu.edu.tr/upload/12615486/index.pdf
https://hdl.handle.net/11511/22263

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Graduate School of Social Sciences, Thesis

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Citation Formats

T. Beygu, “A Critical inquiry into the demarcation of logical constants,” Ph.D. - Doctoral Program, Middle East Technical University, 2013.