Synonymer & Information om | Engelska ordet COUNTEREXAMPLE

Exempel på hur man kan använda COUNTEREXAMPLE i en mening

• Parkin in 1966 when, through a direct computer search on a CDC 6600, they found a counterexample for.
• Accordingly, he was described by abolitionists in his time as a living counterexample to claims by supporters of slavery that enslaved people lacked the intellectual capacity to function as independent American citizens.
• No true Scotsman or appeal to purity is an informal fallacy in which one modifies a prior claim in response to a counterexample by asserting the counterexample is excluded by definition.
• It is immaterial that "2·n > 2 + n" is true for most natural numbers n: even the existence of a single counterexample is enough to prove the universal quantification false.
• In 1898, he presented a counterexample to Tait's claimed theorem about 1-factorability of 3-regular graphs, which is nowadays known as the "Petersen graph".
• In logic a counterexample disproves the generalization, and does so rigorously in the fields of mathematics and philosophy.
• As a counterexample, multi-material devices such as p–n junctions contain internal electrostatic potential differences at equilibrium, yet without any accompanying net current; if a voltmeter is attached to the junction, one simply measures zero volts.
• It is a notorious counterexample in analysis, because it challenges naive intuitions about continuity, derivative, and measure.
• However, it is also possible to give a Brouwerian counterexample to show that the statement is non-constructive.
• As a counterexample, it motivated mathematicians to define the tameness property, which suppresses the kind of wild behavior exhibited by the horned sphere, wild knot, and other similar examples.
• Parker found a counterexample of order 10 using a one-hour computer search on a UNIVAC 1206 Military Computer while working at the UNIVAC division of Remington Rand (this was one of the earliest combinatorics problems solved on a digital computer).
• It is conjectured that F is not amenable and hence a further counterexample to the long-standing but recently disproved.
• Quantum logic remains in limited use among logicians as an extremely pathological counterexample (Dalla Chiara and Giuntini: "Why quantum logics? Simply because 'quantum logics are there!'").
• For instance, an example of a first-countable space which is not second-countable is counterexample #3, the discrete topology on an uncountable set.
• Edwin Connell and Lou van den Dries proved that if the Jacobian conjecture is false, then it has a counterexample with integer coefficients and Jacobian determinant 1.
• The attempt to rebut an argument may involve generating a counterargument or finding a counterexample.
• The pessimistic meta-induction undermines the realist's warrant for their epistemic optimism (the view that science tends to succeed in revealing what the world is like and that there are good reasons to take theories to be true or truthlike) via historical counterexample.
• As nonempty perfect sets in a Polish space always have the cardinality of the continuum, and the reals form a Polish space, a set of reals with the perfect set property cannot be a counterexample to the continuum hypothesis, stated in the form that every uncountable set of reals has the cardinality of the continuum.
• Critiquing expected utility theory and postulating that individuals perceive the prospect of a loss differently to that of a gain, Kahneman and Tversky's research credited the Allais paradox as the “best known counterexample to expected utility theory”.
• In contrast, a non-constructive proof of an impossibility claim would proceed by showing it is logically contradictory for all possible counterexamples to be invalid: at least one of the items on a list of possible counterexamples must actually be a valid counterexample to the impossibility conjecture.

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