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Russell, Gillian. Logical Nihilism: Could there be no Logic?
2018, Philosophical Issues, 28: 308-324
Topics: Logic and Mathematics
Keywords: context-sensitivity; generality in logic; logical nihilism; model theory
Traditions: Analytic; Australasian/Oceanian; Formal
Languages: English

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Added by: Franci Mangraviti
Abstract:

Logical nihilism can be understood as the view that there are no laws of logic. This paper presents both a counterexample-based argument in favor of logical nihilism, and a way to resist it by using Lakatos' method of lemma incorporation. The price to pay is the loss of absolute generality.

Comment : The paper is appropriate for any course discussing the monism vs pluralism vs nihilism debate in logic (or maybe even focusing on varieties of logical nihilism). On a technical level it requires no more than an introduction to formal logic; some familiarity with monist and pluralist positions is helpful for context.
Difficulty: Intermediate
Recommended use: Specialised

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