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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.
The related sentence join veden, "I drank (the) water", using the accusative case instead, assumes that there was a specific countable portion of water that was completely drunk. The work of logicians like Godehard Link and Manfred Krifka established that the mass/count distinction can be given a precise, mathematical definition in terms of ...
If an infinite set is partitioned into finitely many subsets, then at least one of them must be infinite. Any set which can be mapped onto an infinite set is infinite. The Cartesian product of an infinite set and a nonempty set is infinite. The Cartesian product of an infinite number of sets, each containing at least two elements, is either ...
Count nouns or countable nouns are common nouns that can take a plural, can combine with numerals or counting quantifiers (e.g., one, two, several, every, most), and can take an indefinite article such as a or an (in languages that have such articles). Examples of count nouns are chair, nose, and occasion.
The corresponding Chinese term is liàngcí (simplified Chinese: 量词; traditional Chinese: 量詞), which can be directly translated as "quantity word". Most measure words in English correspond to units of measurement or containers, and are themselves count nouns rather than grammatical particles: one quart of water; three cups of coffee
English verbs distinguish singular from plural number in the third person present tense ("He goes" versus "They go"). Old English also contained dual grammatical numbers; Modern English retains a few residual terms reflective of dual number (such as both and neither , as opposed to all and none respectively), but they are generally considered ...
The best known example of an uncountable set is the set of all real numbers; Cantor's diagonal argument shows that this set is uncountable. The diagonalization proof technique can also be used to show that several other sets are uncountable, such as the set of all infinite sequences of natural numbers (see: (sequence A102288 in the OEIS)), and the set of all subsets of the set ...
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.