- a
counterexample involving n = 5;
other n = 5
counterexamples are now known, as well as some n = 4
counterexamples. Witsenhausen's
counterexample shows...
-
Patty (1971) "Review:
Counterexamples in Topology", MR0266131 Kung, Joseph; Rota, Gian-Carlo (1979). "Review:
Counterexamples in Topology". Advances...
- + ?). With the
fourth condition in place,
Gettier counterexamples (and
other similar counterexamples) will not work, and we will have an
adequate set 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...
- 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...
- dogma" that
democracies never start wars
against other democracies from
counterexamples by
declaring any
democracy which does
indeed start a war
against another...
- 1954). Then in 1959
Masayoshi Nagata found a
counterexample to Hilbert's conjecture. The
counterexample of
Nagata is a
suitably constructed ring of invariants...
- law of the
excluded middle.
Brouwer also
provided "weak"
counterexamples. Such
counterexamples do not
disprove a statement, however; they only show that...
-
known as
Frankfurt counterexamples or Frankfurt-style cases) were
presented by
philosopher Harry Frankfurt in 1969 as
counterexamples to the
principle of...
- 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...
