2011•Journal of Science of Teachers' College and UniversityRequires access

The construction of a counterexample

Xi-Qiang Liu

Abstract

Counterexample is a direct and effective tool to show a statement is false,but the construction of counterexample is difficult.A counter-example about the relationship between extreme value and maximum or minimum value of the multiple functions was constructed.Also the idea of constructing counter-examples and the process of mathematical thinking were showed.

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Key concepts: Counterexample, Statement (logic), Value (mathematics), Mathematics, Computer science, Mathematical economics, Discrete mathematics, Epistemology