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Part of the book series: Distinguished Dissertations ((DISTDISS))

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Abstract

To settle a conjecture is to determine whether it is true or false. To say with certainty that a conjecture is true, one must supply a proof — a mathematical argument where the conclusion of the conjecture is shown to follow as a logical consequence of the axioms and premises. Conjectures can also be disproved with logical arguments, or by providing a counterexample — a situation in which the conjecture is clearly false.

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© 2002 Springer-Verlag London

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Colton, S. (2002). Settling Conjectures. In: Automated Theory Formation in Pure Mathematics. Distinguished Dissertations. Springer, London. https://doi.org/10.1007/978-1-4471-0147-5_8

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  • DOI: https://doi.org/10.1007/978-1-4471-0147-5_8

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1113-9

  • Online ISBN: 978-1-4471-0147-5

  • eBook Packages: Springer Book Archive

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