Sentence examples for orderable from inspiring English sources

For instance, he said, "On the Ford Focus, we went from over 9,000 orderable combinations last year to 152 for 2002".

"The objective is to minimize the number of orderable combinations, and get the right ones to the dealers and customers," said John Jelinek, a Ford marketing spokesman.

In Cantor's notation, the continuum hypothesis can be stated by the simple equation 2ℵ0 = ℵ1, where ℵ0 is the cardinal number of an infinite countable set (such as the set of natural numbers), and the cardinal numbers of larger "well-orderable sets" are ℵ1, ℵ2, …, ℵα, …, indexed by the ordinal numbers.

Despite Zermelo's endorsement here, the correctness of the hypothesis that the scale of aleph numbers represents all cardinals (AH, for short) is a more complicated matter, for it involves the claim that every set is actually equivalent to an initial segment of the ordinals, and not just well-orderable.

The Axiom of Choice in any global form is inconsistent with this theory, but it is consistent for all well-founded sets to be well-orderable (in fact, this will be true in the models described above if the construction is carried out in an environment in which Choice is true).