The philosophy of alternative logics

In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press. pp. 613-723 (2009)
This chapter focuses on alternative logics. It discusses a hierarchy of logical reform. It presents case studies that illustrate particular aspects of the logical revisionism discussed in the chapter. The first case study is of intuitionistic logic. The second case study turns to quantum logic, a system proposed on empirical grounds as a resolution of the antinomies of quantum mechanics. The third case study is concerned with systems of relevance logic, which have been the subject of an especially detailed reform program. Finally, the fourth case study is paraconsistent logic, perhaps the most controversial of serious proposals.
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DOI 10.1093/acprof:oso/9780195137316.003.0041
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How Do Logics Explain?Gillman Payette & Nicole Wyatt - 2018 - Australasian Journal of Philosophy 96 (1):157-167.

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