- 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...
- the
infinite set of
natural numbers.: 20– Such sets are now
known as
uncountable sets, and the size of
infinite sets is now
treated by the
theory of cardinal...
-
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:...
-
exists an
enumeration of it. Otherwise, it is
uncountable. For example, the set of the real
numbers is
uncountable. A set is
finite if it can be enumerated...
- 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...
-
there are
uncountably many of
these pairwise disjoint sets,
their union is
uncountable. This
union is a
subset of P′, so P' is
uncountable. Case 2: P(β)...
- application.
Other applications include proving that
certain perfect sets are
uncountable, and the
construction of ultrafilters. Let X {\textstyle X} be a set...
