Newton da Costa on Hypothetical Models in Logic and on the Modal Status of Logical Laws

Axiomathes 32 (6):1191-1211 (2022)
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Abstract

This paper has three aims: first, to present in a clear way Newton da Costa’s argument against the necessity of logical laws. In order to do so, we need to clearly advance his views on the idea that logic is context-relative, and not known a priori. Doing so, however, requires that we present his methodology for the development of counter-examples to logical laws: the use of hypothetical models in logic. Given that this method has been overlooked in most discussions on the epistemology of logic, our second goal is to present da Costa’s views on it carefully. The discussion of some tensions resulting from the relation of a system of logic and the context it governs, in da Costa’s approach, is our third goal. Basically, da Costa seems to swing between two incompatible views on such relation, requiring sometimes that a logic is dependent on a context, and in other cases, that the nature of the context is dependent on a logic. Bringing this to light may also benefit current discussions on logical relativism.

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Jonas R. B. Arenhart
Universidade Federal de Santa Catarina

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References found in this work

Anti-exceptionalism about logic.Ole Thomassen Hjortland - 2017 - Philosophical Studies 174 (3):631-658.
Logical Nihilism: Could There Be No Logic?Gillian Russell - 2018 - Philosophical Issues 28 (1):308-324.
What Counts as Evidence for a Logical Theory?Ole Thomassen Hjortland - 2019 - Australasian Journal of Logic 16 (7):250-282.
Doubt Truth to Be a Liar.Graham Priest - 2007 - Bulletin of Symbolic Logic 13 (4):541-544.
Why logical pluralism?Colin R. Caret - 2019 - Synthese 198 (Suppl 20):4947-4968.

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