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Linguistic prescriptivists usually say that fewer and not less should be used with countable nouns, [2] and that less should be used only with uncountable nouns. This distinction was first tentatively suggested by the grammarian Robert Baker in 1770, [3] [1] and it was eventually presented as a rule by many grammarians since then.
Countable, singular. one – One has got through. (Often modified or specified, such as in a single one, one of them, etc.) Countable, plural. several – Several were chosen. few – Few were chosen. fewer – Fewer are going to church these days. many – Many were chosen. more (also uncountable) – More were ignored.
The concept of a "mass noun" is a grammatical concept and is not based on the innate nature of the object to which that noun refers. For example, "seven chairs" and "some furniture" could refer to exactly the same objects, with "seven chairs" referring to them as a collection of individual objects but with "some furniture" referring to them as a single undifferentiated unit.
In linguistics, a mass noun, uncountable noun, non-count noun, uncount noun, or just uncountable, is a noun with the syntactic property that any quantity of it is treated as an undifferentiated unit, rather than as something with discrete elements. Uncountable nouns are distinguished from count nouns.
Measure words play a similar role to classifiers, except that they denote a particular quantity of something (a drop, a cupful, a pint, etc.), rather than the inherent countable units associated with a count noun. Classifiers are used with count nouns; measure words can be used with mass nouns (e.g. "two pints of mud"), and can also be used ...
In a measure space, such as the real line, countable sets are null. The set of rational numbers is countable, so almost all real numbers are irrational. [12] Georg Cantor's first set theory article proved that the set of algebraic numbers is countable as well, so almost all reals are transcendental. [13] [sec 6] Almost all reals are normal. [14]
A countable non-standard model of arithmetic satisfying the Peano Arithmetic (that is, the first-order Peano axioms) was developed by Skolem in 1933. The hypernatural numbers are an uncountable model that can be constructed from the ordinary natural numbers via the ultrapower construction.
English sometimes distinguishes between regular plural forms of demonyms/ethnonyms (e.g. "five Dutchmen", "several Irishmen"), and uncountable plurals used to refer to entire nationalities collectively (e.g. "the Dutch", "the Irish").