- one means.
Aleph number Beth
number First uncountable ordinal Injective function Weisstein, Eric W. "
Uncountably Infinite". mathworld.wolfram.com. Retrieved...
- the
countable ordinals (including
finite ordinals), of
which there are
uncountably many. Like any
ordinal number (in von Neumann's approach), ω 1 {\displaystyle...
- The set of all real
numbers is an
uncountably infinite set. The set of all
irrational numbers is also an
uncountably infinite set.
Aleph number Cardinal...
- for all
infinite cardinals κ. T is
uncountably categorical, i.e. T is κ-categorical if and only if κ is an
uncountable cardinal. T is
countably categorical...
- 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...
- of all real
numbers is
uncountably,
rather than countably, infinite. This
theorem is
proved using Cantor's
first uncountability proof,
which differs from...
-
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...
- of
infinite sets. He
famously showed that the set of real
numbers is
uncountably infinite. That is, c {\displaystyle {\mathfrak {c}}} is
strictly greater...
-
seeds that are
widely consumed as food. The word can be
countable or
uncountable,
meaning its
plural is with or
without an 's'. In 2022,
world production...
