Article

Picturability and Mathematical Ideals of Knowledge

Stephen Gaukroger

in The Oxford Handbook of Philosophy in Early Modern Europe

Published in print January 2011 | ISBN: 9780199556137
Published online May 2011 | | DOI: http://dx.doi.org/10.1093/oxfordhb/9780199556137.003.0017

Series: Oxford Handbooks in Philosophy

Picturability and Mathematical Ideals of Knowledge

More Like This

Show all results sharing these subjects:

  • Philosophy
  • History of Western Philosophy
  • Epistemology
  • Philosophy of Mathematics and Logic

GO

Show Summary Details

Preview

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.

Keywords: picturability; mathematical demonstration; cognitive grasp; infinitesimal analysis; direct proof; cognitive capacities

Article.  9678 words. 

Subjects: Philosophy ; History of Western Philosophy ; Epistemology ; Philosophy of Mathematics and Logic

Full text: subscription required

How to subscribe Recommend to my Librarian

Buy this work at Oxford University Press »

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.