The relativity and universality of logic

Synthese 192 (7):1939-1954 (2015)
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Abstract

After recalling the distinction between logic as reasoning and logic as theory of reasoning, we first examine the question of relativity of logic arguing that the theory of reasoning as any other science is relative. In a second part we discuss the emergence of universal logic as a general theory of logical systems, making comparison with universal algebra and the project of mathesis universalis. In a third part we critically present three lines of research connected to universal logic: logical pluralism, non-classical logics and cognitive science.

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Jean-Yves Beziau
Federal University of Rio de Janeiro

Citations of this work

Universal Logic: Evolution of a Project.Jean-Yves Beziau - 2018 - Logica Universalis 12 (1-2):1-8.
MANY 1 - A Transversal Imaginative Journey across the Realm of Mathematics.Jean-Yves Beziau - 2017 - Journal of the Indian Council of Philosophical Research 34 (2):259-287.
Religious Presuppositions of Logic and Rationality.Alberto Leopoldo Batista Neto - 1970 - Forum Philosophicum: International Journal for Philosophy 23 (1):5-57.

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References found in this work

Logical Pluralism.Jc Beall & Greg Restall - 2005 - Oxford, England: Oxford University Press. Edited by Greg Restall.
Logical pluralism.Jc Beall & Greg Restall - 2000 - Australasian Journal of Philosophy 78 (4):475 – 493.
Representation and Invariance of Scientific Structures.Patrick Suppes - 2002 - CSLI Publications (distributed by Chicago University Press).
Principia mathematica.A. N. Whitehead - 1926 - Mind 35 (137):130.
Principia Mathematica.A. N. Whitehead & B. Russell - 1927 - Annalen der Philosophie Und Philosophischen Kritik 2 (1):73-75.

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