Analysis of Ibn Al-Haytham’s Philosophy of Mathematics
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المعلوم, فلسفة الرياضيات, فن التحليل, البرهان الرياضي, استدلال استنباطي Sciences, Mathematics Philosophy, art of Analysis, mathematical proof, Deductive Reasoning
Abstract
This paper sheds light on a very crucial aspect of Ibn Al-Haytham’s philosophy of mathematics, suggesting that the philosophy of “Sahib Al-Manader” founded in particular on an innovative sports philosophy, a one that is entirely different from its previous counterpart created by the Greek scientist of Mathematics, Euclid (225 BC. 300 BC). This research also shows, through study and analysis, that Ibn Al-Haytham’s philosophy formed a different scientific model by not conceiving of geometric forms similar to what they used to be, especially in traditional Euclidean geometry which was characterized by its consistency and not being assumed to be mobile. This matter pushed Ibn Al-Haytham, despite his innovative sport mentality, to neglect this mathematical and engineering assumption. He assumes that geometric forms are created by motion and are not fixed, a fact that makes its stability completely unrecognized. All these matters encouraged Ibn Al-Haytham to discover a new science that goes in parallel with his new geometric sport mentality, a science that responds to his era’s new geometric needs. This new science was called ‘The Knowns’.
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