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Noun. In grammar, a noun is a word that represents a concrete or abstract thing, such as living creatures, places, actions, qualities, states of existence, and ideas. A noun may serve as an object or subject within a phrase, clause, or sentence. [1][note 1]
Mass noun. 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.
Fewer versus less is a debate in English grammar about the appropriate use of these two determiners. 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 ...
Look up count noun in Wiktionary, the free dictionary. In linguistics, a count noun (also countable noun) is a noun that can be modified by a quantity and that occurs in both singular and plural forms, and that can co-occur with quantificational determiners like every, each, several, etc. A mass noun has none of these properties: It cannot be ...
Cantor's diagonal argument (among various similar names [note 1]) is a mathematical proof that there are infinite sets which cannot be put into one-to-one correspondence with the infinite set of natural numbers – informally, that there are sets which in some sense contain more elements than there are positive integers.
Countable set. In mathematics, a set is countable if either it is finite or it can be made in one to one correspondence with the set of natural numbers. [a] Equivalently, a set is countable if there exists an injective function from it into the natural numbers; this means that each element in the set may be associated to a unique natural number ...
The determinative function is typically obligatory in a singular, countable, common noun phrase (compare I have a new cat to *I have new cat). Semantically, determiners are usually definite or indefinite (e.g., the cat versus a cat), [4] and they often agree with the number of the head noun (e.g., a new cat but not *many new cat).
Skolem's paradox: Countably infinite models of set theory contain sets that are uncountable in the sense of the model. Zeno's paradoxes: "You will never reach point B from point A as you must always get half-way there, and half of the half, and half of that half, and so on." (This is also a physical paradox.) Supertasks may result in paradoxes ...