Newton, Euclid, and the foundation of geometry

Guy Robinson

in Philosophy and Mystification

Published by Fordham University Press

Published in print September 2003 | ISBN: 9780823222919
Published online March 2011 | e-ISBN: 9780823235513 | DOI:
Newton, Euclid, and the foundation of geometry

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Euclidian geometry, in the seventeenth century, was seen as an ideal knowledge that was certain and objective. This served as a benchmark and an inspiration for other fields of knowledge while simultaneously causing problems for philosophers, since philosophers deal with an individualistic view of humanity. Knowledge was shown as the product of an individual search that comes from initially available and undeveloped materials and social relations. This chapter mainly presents and compares rationalist views with empiricist views on the general idea of knowledge and humanity’s attempt to gain more ideas. Some of the relevant concepts in this chapter include a discussion of Principia and an explanation of how geometry was shown as ideological in terms of illustrating the “abstract and eternal truths about the world”.

Keywords: geometry; knowledge; humanity; individualistic; rationalist

Chapter.  8695 words. 

Subjects: Philosophy

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