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A monotonicity argument

  • Part 0 Summaries ofthe expositional essays
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  • First Online:
On the Shape of Mathematical Arguments

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 445))

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Abstract

The belief that equivalence is always most appropriately proved by showing mutual implication has undoubtedly been strengthened by the way in which proofs in Euclidean geometry are conducted. The purpose of this chapter is to show that some of that “geometrical evidence” is not compelling at all.

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© 1990 Springer-Verlag Berlin Heidelberg

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(1990). A monotonicity argument. In: On the Shape of Mathematical Arguments. Lecture Notes in Computer Science, vol 445. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020916

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  • DOI: https://doi.org/10.1007/BFb0020916

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52849-4

  • Online ISBN: 978-3-540-47166-0

  • eBook Packages: Springer Book Archive

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