- mathematics, an
uncountable set, informally, is an
infinite set that
contains too many
elements to be countable. The
uncountability of a set is closely...
- of all real
numbers is
uncountably,
rather than countably, infinite. This
theorem is
proved using Cantor's
first uncountability proof,
which differs from...
- In mathematics, the
first uncountable ordinal,
traditionally denoted by ω 1 {\displaystyle \omega _{1}} or
sometimes by Ω {\displaystyle \Omega } , is...
- false. Therefore, T is
uncountable. The
uncountability of the real
numbers was
already established by Cantor's
first uncountability proof, but it also follows...
- set is
smaller than its
power set
uncountability of the real
numbers Cantor's
first uncountability proof uncountability of the real
numbers Combinatorics...
- {c}}=2^{\aleph _{0}}>\aleph _{0}.} This was
proven by
Georg Cantor in his
uncountability proof of 1874, part of his
groundbreaking study of
different infinities...
-
nouns have both
countable and
uncountable uses; for example, soda is
countable in "give me
three sodas", but
uncountable in "he
likes soda". Collective...
- In linguistics, a m**** noun,
uncountable noun, non-count noun,
uncount noun, or just
uncountable, is a noun with the
syntactic property that any quantity...
- that this
minimal model is countable. The fact that the
notion of "
uncountability"
makes sense even in this model, and in
particular that this
model M...
- application.
Other applications include proving that
certain perfect sets are
uncountable, and the
construction of ultrafilters. Let X {\textstyle X} be a set...
