Chapter

Formal Losses

Gerald E. Sacks

in Future Pasts

Published in print September 2001 | ISBN: 9780195139167
Published online November 2003 | e-ISBN: 9780199833214 | DOI: http://dx.doi.org/10.1093/019513916X.003.0021
 Formal Losses

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Sacks argues against the value of introducing formal precision in mathematics. Intuitive concepts, such as computability, can be the source of fruitful insights as well as worked with in proofs, without formalization. Moreover, formal recasting of these notions makes them less tractable to mathematical experience.

Keywords: S. C. Kleene; computability; formalization; intuition

Chapter.  970 words. 

Subjects: History of Western Philosophy

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