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In this essay, I explore three central issues in the philosophy of logic.

First, I examine the issue of the conceptual analysis of logical consequence. I focus the discussion on Alfred Tarski's model-theoretic account and how it embodies some of the central features of logic: universality, formality, truth­preservation, and a priority.

Second, I discuss the

issue of logical pluralism: whether, given a language, there is only

one admissible specification of the logical consequence relation (as the

logical monist insists), or whether there are several such specifications

(as the logical pluralist contends). Third, I consider the issue of the applica­tions of logic, and I explore the connections between the application of logic and of mathematics. Along the way, the interconnections among these issues are explored, in order to indicate how different philosophical conceptions of logic emerge.

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Source: Allhoff F.. Philosophies of the Sciences: A Guide. N.-Y.: Wiley-Blackwell,2010. — 386 p.. 2010

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