- 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...
- knowledge.
Attributed to
American philosopher Edmund Gettier, Gettier-type
counterexamples (called "Gettier-cases")
challenge the long-held
justified true belief...
-
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...
- 1954). Then in 1959
Masayoshi Nagata found a
counterexample to Hilbert's conjecture. The
counterexample of
Nagata is a
suitably constructed ring of invariants...
- 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...
- Witsenhausen's
counterexample,
shown in the
figure below, is a
deceptively simple toy
problem in
decentralized stochastic control. It was
formulated by...
-
after Edmund Landau and Carl
Ludwig Siegel, is a type of
potential counterexample to the
generalized Riemann hypothesis, on the
zeros of
Dirichlet L-functions...
