Then for every bounded set [OMEGA] [subset] X, F is a
countably strict set-contraction operator on [bar.
Next suppose A is any I-sequentially
countably compact subset of X.
40, a set X being infinite, it can be expressed as a disjoint union of a class C of
countably infinite sets that is, each of which has cardinality [omega].
k] has a countable basis, open balls with rational center and rational radius, there exist
countably many such V that cover B.
n] is a
countably additive, regular complex measure with compact support contained in K(see the proof of Singer's theorem in (2)).
As long as it is produced recursively--like any other human language-it will only have
countably many expressions (words, sentences, texts).
This second, larger infinite number is so much larger than our first
countably infinite infinity of whole numbers, [yen], that it is an uncountably infinite number
The classical mathematician is likely to assume the existence of only
countably many finitist functions or function signs.
1994; Bemardo and Judd 1996) there is no adverse selection problem because demand orders do not affect the price at which orders execute (because there exists a
countably infinite number of traders).
In the sequel, let Var denote a
countably infinite set of variables, denoted x, y, z .
Given a finite or
countably infinite set P of C-products, its saturation [bar]P is defined as [bar]P = {p / [exists]p' [element of] P.
On his reading, Landini will have to explain how Russell and Whitehead can hold both that there are more propositional functions than individuals (see their 1912, vii) while also holding that propositional functions are open sentences, of which there are only
countably many.
