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Logic, Mathematics, Philosophy, Vintage EnthusiasmsEuler’s Continuum Functorially Vindicated

Logic, Mathematics, Philosophy, Vintage Enthusiasms: Euler’s Continuum Functorially Vindicated [Contrary to common opinion, the question “what is the continuum?” does not have a final answer (Bell, 2005), the immortal work of Dedekind Bell, John L.Euler, LeonhardDedekind, Richard notwithstanding. There is a deeper answer implicit in an observation of Euler. Although it has often been dismissed as naive, we can use the precision of the theory of categories to reveal Euler’s observation to be an appropriate foundation for smooth and analytic geometry and analysis.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Logic, Mathematics, Philosophy, Vintage EnthusiasmsEuler’s Continuum Functorially Vindicated

Part of the The Western Ontario Series in Philosophy of Science Book Series (volume 75)
Editors: DeVidi, David; Hallett, Michael; Clarke, Peter

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References (3)

Publisher
Springer Netherlands
Copyright
© Springer Science+Business Media B.V. 2011
ISBN
978-94-007-0213-4
Pages
249 –254
DOI
10.1007/978-94-007-0214-1_13
Publisher site
See Chapter on Publisher Site

Abstract

[Contrary to common opinion, the question “what is the continuum?” does not have a final answer (Bell, 2005), the immortal work of Dedekind Bell, John L.Euler, LeonhardDedekind, Richard notwithstanding. There is a deeper answer implicit in an observation of Euler. Although it has often been dismissed as naive, we can use the precision of the theory of categories to reveal Euler’s observation to be an appropriate foundation for smooth and analytic geometry and analysis.]

Published: Jan 27, 2011

Keywords: Cardinal Measurement; Intrinsic Multiplication; Representable Functor; Endomorphism Monoid; Infinitesimal Motion

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