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Part of the book series: Logic, Epistemology, and The Unity of Science ((LEUS,volume 11))

Abstract

We try to find the answers to two main questions of philosophy of mathematics Philosophy of mathematics in Ibn Sīnā’s philosophy, i.e. what and where are mathematical objects Mathematical objects? And how can we know mathematical objects? Ibn Sīnā’s ontology implies that mathematical objects are mental objects. In his epistemology, Ibn Sīnā emphasises on intuition andthinking as two main ways of attaining mathematical knowledge Mathematical knowledge. Moreover, Ibn Sīnā’s analysis of mathematical propositions implies that they are synthetic a priori judgements Synthetic!a priori judgements in the sense of Kant.

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Ardeshir, M. (2008). Ibn Sī:nā’s Philosophy of Mathematics. In: Rahman, S., Street, T., Tahiri, H. (eds) The Unity of Science in the Arabic Tradition. Logic, Epistemology, and The Unity of Science, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8405-8_2

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