Picturability and Mathematical Ideals of Knowledge

In Desmond M. Clarke & Catherine Wilson (eds.), The Oxford handbook of philosophy in early modern Europe. Oxford: Oxford University Press (2011)
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Abstract

This article examines the role of picturability in mathematical demonstration in the seventeenth and eighteenth centuries and draws attention to the general question of the role that picturability places in cognitive grasp. It suggests that mathematical demonstration is particularly applicable in cognitive grasp it allows the problematic to be identified with some precision. It also discusses infinitesimal analysis and the question of direct proof and evaluates the role of picturability in the analysis of human cognitive capacities.

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10.1093/oxfordhb/9780199556137.003.0017

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Stephen Gaukroger
University of Sydney

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