Logic as applied Mathematics – with Particular Application to the Notion of Logical Form
DOI:
https://doi.org/10.12775/LLP.2023.003Keywords
pure mathematics, applied mathematics, pure logic, canonical application, logical constant, logical form, formal validity, material validityAbstract
The word ‘logic’ has many senses. Here we will understand it as meaning an account of what follows from what and why. With contemporary methodology, logic in this sense – though it may not always have been thought of in this way – is a branch of applied mathematics. This has various implications for how one understands a number of issues concerning validity. In this paper I will explain this perspective of logic, and explore some of its consequences with respect to the notion of logical form.
References
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Priest, G., 2014, “Revising logic”, ch. 12 of P. Rush (ed.), The Metaphysics of Logic, Cambridge: Cambridge University Press. DOI: http://dx.doi.org/10.1017/CBO9781139626279.016
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Copyright (c) 2023 Graham Priest
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