Wright’s Strict Finitistic Logic in the Classical Metatheory: The Propositional Case
نویسندگان
چکیده
Crispin Wright in his 1982 paper argues for strict finitism, a constructive standpoint that is more restrictive than intuitionism. In its appendix, he proposes models of finitistic arithmetic. They are tree-like structures, formed metatheory, equations between numerals on which concrete arithmetical sentences evaluated. As first step towards classical formalisation we propose their counterparts the metatheory with one additional assumption, and then extract propositional part `strict logic' from it investigate. We will provide sound complete pair Kripke-style semantics sequent calculus, compare other logics. The logic lacks law excluded middle Modus Ponens weaker logic, but stronger any proper intermediate logics terms theoremhood. fact, all well-known theorems found to be theorems. Finally, make an observation this can seen as nodes intuitionistic model.
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ژورنال
عنوان ژورنال: Journal of Philosophical Logic
سال: 2023
ISSN: ['1573-0433', '0022-3611']
DOI: https://doi.org/10.1007/s10992-022-09698-w