Ibn al-Haytham’s Revision of the Euclidean Foundations of Mathematics

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Hopos: The Journal of the International Society for the History of Philosophy of Science 8 (1):62-86 (2018)
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Abstract

This article studies Ibn al-Haytham’s treatment of the common notions from Euclid’s Elements (usually referred to today as the axioms). We argue that Ibn al-Haytham initiated a new approach with regard to these foundational statements, rejecting their qualification as innate, self-evident, or primary. We suggest that Ibn al-Haytham’s engagement with experimental science, especially optics, led him to revise the framing of Euclidean common notions in a way that would fit his experimental approach.

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10.1086/695957

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Citations of this work

Euclid’s Common Notions and the Theory of Equivalence.Vincenzo De Risi - 2020 - Foundations of Science 26 (2):301-324.

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References found in this work

The Muqaddimah: an introduction to history.Ibn Khaldūn - 1958 - Princeton, NJ: Princeton University Press. Edited by Franz Rosenthal, N. J. Dawood & Bruce B. Lawrence.
Alfarabi, Avicenna, and Averroes on Intellect.Herbert A. Davidson - 1994 - Philosophy East and West 44 (3):580-582.
Ibn Sīnā and the Early History of Thought Experiments.Taneli Kukkonen - 2014 - Journal of the History of Philosophy 52 (3):433-459.

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