- 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...
-
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...
- Witsenhausen's
counterexample,
shown in the
figure below, is a
deceptively simple toy
problem in
decentralized stochastic control. It was
formulated by...
-
disproved by
giving a
counterexample, as in
classical mathematics. However, it is also
possible to give a
Brouwerian counterexample to show that the statement...
-
known as
Frankfurt counterexamples or Frankfurt-style cases) were
presented by
philosopher Harry Frankfurt in 1969 as
counterexamples to the
principle of...
- conjecture, or $50 for a
counterexample; it is one of many
conjectures of Erdős. If the
conjecture is false, a
counterexample would take the form of a...
-
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...
-
generators that
serves as a
counterexample to Naimark's problem. More precisely, they
showed that the
existence of a
counterexample generated by ℵ 1 {\displaystyle...
