- mathematics, an
uncountable set, informally, is an
infinite set that
contains too many
elements to be countable. The
uncountability of a set is closely...
- In mathematics, the
first uncountable ordinal,
traditionally denoted by ω 1 {\displaystyle \omega _{1}} or
sometimes by Ω {\displaystyle \Omega } , is...
-
elements than
there are
positive integers. Such sets are now
called uncountable sets, and the size of
infinite sets is
treated by the
theory of cardinal...
- {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...
- some
uncountable cardinality, then it is
categorical in all
uncountable cardinalities.
Saharon Shelah (1974)
extended Morley's
theorem to
uncountable languages:...
-
existence theorem that
there are such sets. Each
Vitali set is
uncountable, and
there are
uncountably many
Vitali sets. The
proof of
their existence depends on...
- is a set that is not a
finite set.
Infinite sets may be
countable or
uncountable. The set of
natural numbers (whose
existence is
postulated by the axiom...
- 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...
- of all real
numbers is
uncountably,
rather than countably, infinite. This
theorem is
proved using Cantor's
first uncountability proof,
which differs from...
