Justification for Relativity in Traditional Logic (16th edition)

Nigerian Journal of Philosophical Studies 2 (1):66-84 (2023)
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Abstract

Standard responses to the question of the nature of logic can be broadly classified into two, namely: logical monists that privilege traditional logic above non-traditional logic and logical pluralists who recognize the legitimacy of many-valued logic and use same to argue for some form of logical relativity. The line of distinction appears to be fairly clear as traditional, Aristotelian, two-valued and standard logic maintains fidelity with the principle of bivalence and the traditional laws of thought while non-traditional, non-Aristotelian, many-valued, non-standard or alternative logics somehow break their fidelity to the principle of bivalence and the traditional laws of thought. It appears to be settled that relativity typically belongs only to non-traditional logics. Contrary to this understanding, this paper argued that some level of relativity Is presupposed in traditional logic by the legitimacy enjoyed by syllogistic, propositional and predicate logics as a body of systems that make up traditional logic. This paper called for the revision of monistic approaches to traditional logic. Since there is some measure of relativity among traditional systems of logic, de-emphasizing the differences among syllogistic, propositional and predicate logics while stressing their unity as 'traditional logic' leads to the fallacy of accent. This fallacy occurs when theorists place vocal emphasis on the unity among traditional logical systems while ignoring their differences.

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