Definition of Counterexample. Meaning of Counterexample. Synonyms of Counterexample

- A counterexample is any exception to a generalization. In logic a counterexample disproves the generalization, and does so rigorously in the fields of...
- mathematics, a minimal counterexample is the smallest example which falsifies a claim, and a proof by minimal counterexample is a method of proof which...
- in which one modifies a prior claim in response to a counterexample by ****erting the counterexample is excluded by definition. Rather than admitting error...
- known as Frankfurt counterexamples or Frankfurt-style cases) were presented by philosopher Harry Frankfurt in 1969 as counterexamples to the principle of...
- Counterexamples in Topology (1970, 2nd ed. 1978) is a book on mathematics by topologists Lynn Steen and J. Arthur Seebach, Jr. In the process of working...
- Counterexamples in Probability is a mathematics book by Jordan M. Stoyanov. Intended to serve as a supplemental text for classes on probability theory...
- Witsenhausen's counterexample, shown in the figure below, is a deceptively simple toy problem in decentralized stochastic control. It was formulated by...
- the two iterated integrals have different values; see the section on counterexamples below for an example of this. Tonelli's theorem and the Fubini–Tonelli...
- disproved by giving a counterexample, as in classical mathematics. However, it is also possible to give a Brouwerian counterexample to show that the statement...
- scheme if every orbit is contained in an affine open subscheme; the counterexample above shows that this technical condition cannot be dropped. For quasi-projective...