It only takes one counterexample
to disprove a theory, but in the case of simple network effects our counterexample
cup "runneth over.
GJ 1132b provides a hopeful counterexample
of an atmosphere that has endured for billion of years (that is, long enough for us to detect it).
The opinion of the mathematician Christian Goldbach, stated in correspondence with Euler in 1742, that every even number greater than 2 can be expressed as the sum of two primes, seems to be true in the sense that no one has ever found a counterexample
(Boyer & Merzbach, 1989, p.
1] are incorrect by a counterexample
and we recorrect Theorem 36 (3) and (4) using the generalized distributive law of interval-valued hesitant fuzzy soft sets.
in the broad sense of any example that is counter to some statement, the Bourchteins present counterexamples
to different false statements that frequently arise in the calculus and fundamentals of real analysis, and which may appear to be true at first glance.
In this note, we make this point clear by providing a counterexample
to Lemma 3 in .
Of course, it is also possible that there is a counterexample
to the famous unresolved conjecture that the Navier-Stokes equations always have solutions when the initial velocity vector field is smooth.
We provide a counterexample
to a lemma used in a recent tentative improvement of the Pin-Frankl bound for synchronizing automata.
discusses institutional solutions to the problem of the allocation of trainees to patients in university hospitals.
The first theme, levels of understanding theories, is composed of what we perceived as a progression from the simplest to the most complex level of understanding: (a) basic knowledge, (b) applied knowledge, (c) providing a counterexample
to a theory, and (d) criticism of a theory.
The number n in the third condition is obtained through a construction on a free algebra, and it cannot be replaced by a purely categorical argument, as shows the following counterexample
So, while there might be a counterexample
to a candidate principle, that wouldn't be a strike against intuitionism in the way that it would be, say, against utilitarianism.