Knot much like tonk
نویسندگان
چکیده
Abstract Connectives such as Tonk have posed a significant challenge to the inferentialist. It has been recently argued (Button 2016; Button and Walsh 2018) that classical semanticist faces an analogous problem due definability of “nasty connectives” under non-standard interpretations propositional vocabulary. In this paper, we defend from alleged problem.
منابع مشابه
Tonk- A Full Mathematical Solution
There is a long tradition (See e.g. [9, 10]) starting from [12], according to which the meaning of a connective is determined by the introduction and elimination rules which are associated with it. The supporters of this thesis usually have in mind natural deduction systems of a certain ideal type (explained in Section 3 below). Unfortunately, already the handling of classical negation requires...
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متن کاملPrior’s Tonk and Proof-Theoretic Harmony
Arthur Prior’s logical connective “tonk” [3] has given rise to a number of debates on the nature of logical constants, making it compelling to explicate criteria to exclude pathological connectives, such as tonk, from genuine logical constants. In his seminal paper [2], William Lawvere proposed to understand logical constants as adjoint functors, giving rise to the discipline of categorical (or...
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ژورنال
عنوان ژورنال: Synthese
سال: 2022
ISSN: ['0039-7857', '1573-0964']
DOI: https://doi.org/10.1007/s11229-022-03655-5