Universality, topic-neutrality, monism, and pluralism in logic

South American Journal of Logic (forthcoming)
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Abstract

The concept of topic-neutrality, though central to contemporary characterisations of logic, lacks a standard formal definition. I propose a formal reconstruction of topic-neutrality in terms of a topical partition of atoms and its applicability across consequence relations. I explore the implications of this reconstruction for logical pluralism and monism, distinguishing between topic-neutral and topic-specific variants of each. I argue that while topic-neutral pluralism posits various applicable consequence relations across domains, topic-specific pluralism holds that some relations are applicable only to specific domains.

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Luis F. Bartolo Alegre
Ludwig Maximilians Universität, München

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