Infinite sets may be countable or uncountable. "T" one gets examples of complete countable theories with all possible uncountable spectra. The power set of an infinite (either countable or uncountable) set is always uncountable. Neuter nouns are abstract, collective and uncountable nouns. The partitive article is similar to the indefinite article but used for uncountable singular nouns. All uncountable standard measurable spaces are mutually isomorphic. The signature can be empty, finite, or infinite, even uncountable. No uncountable group can be finitely generated. Here "X" may be any set&colon; empty, finite, infinite, or even uncountable. The set of all subsets of "Z" is uncountable. Cantor proved that the cardinality of the second number class is the first uncountable cardinality. But it is still far less than the first uncountable ordinal, formula 43. The Cantor set is an uncountable subset of R. There is an uncountable number of such transformations. This makes the transcendental numbers uncountable.