A Structuralist Account of Logic

Croatian Journal of Philosophy 8 (2):257-265 (2008)
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Abstract

The lynch-pin of the structuralist account of logic endorsed by Koslow is the definition of logical and modal operators with respect to implication relations, i.e. relative to implication structures. Logical operators are depicted independently of any possible semantic of syntactic limitations. It turns out that it is possible to define conjunction as well as other logical operators much more generally than it has usually been, and items on which the logical operators may be applied need not be syntactic objects and need not have truth values.In this paper I analyse Koslow’s structuralist theory and point out certain objectionable aspects to as well as reasons why such a theory does not fulfil the (possibly unjustified) expectation of getting defined a universal logical structure.

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Majda Trobok
University of Ljubljana (PhD)

Citations of this work

Bi-intuitionistic implication structures.Daniel Skurt - 2018 - Journal of Applied Non-Classical Logics 28 (1):20-34.

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References found in this work

Mathematics as a science of patterns.Michael David Resnik - 1997 - New York ;: Oxford University Press.
A Structuralist Theory of Logic.Arnold Koslow - 1992 - New York: Cambridge University Press.
On engendering an illusion of understanding.Dana Scott - 1971 - Journal of Philosophy 68 (21):787-807.
Three varieties of mathematical structuralism.Geoffrey Hellman - 2001 - Philosophia Mathematica 9 (2):184-211.
A Structuralist Theory of Logic.Arnold Koslow - 1995 - Studia Logica 54 (2):256-258.

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