Logic as applied Mathematics – with Particular Application to the Notion of Logical Form
DOI:
https://doi.org/10.12775/LLP.2023.003Słowa kluczowe
pure mathematics, applied mathematics, pure logic, canonical application, logical constant, logical form, formal validity, material validityAbstrakt
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.
Bibliografia
Priest, G., 2006, Doubt Truth to be a Liar, Oxford: Oxford University Press. DOI: http://dx.doi.org/10.1093/0199263280.001.0001
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
Priest, G., 2016, “Logical disputes and the a priori”, Logique et Analyse 236: 347–366.
Priest, G., 2021, “Logical abductivism and non-deductive inference”, Synthese 199: 3207–3217. DOI: http://dx.doi.org/10.1007/s11229-020-02932-5
Priest, G., 2022, “How do you apply mathematics?”, Axiomathes 32: 1169–1184. DOI: http://dx.doi.org/10.1007/s10516-022-09633-3
Priest, G., 202x, “Abductivism and logical pluralism”, Revista Saga, forthcoming.
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Prawa autorskie (c) 2023 Graham Priest
Utwór dostępny jest na licencji Creative Commons Uznanie autorstwa – Bez utworów zależnych 4.0 Międzynarodowe.
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