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The English language has a number of words that denote specific or approximate quantities that are themselves not numbers. [1] Along with numerals, and special-purpose words like some, any, much, more, every, and all, they are quantifiers. Quantifiers are a kind of determiner and occur in many constructions with other determiners, like articles ...
a; a few; a little; all; an; another; any; anybody; anyone; anything; anywhere; both; certain (also adjective) each; either; enough; every; everybody; everyone ...
Other determiners in English include the demonstratives this and that, and the quantifiers (e.g., all, many, and none) as well as the numerals. [ 1 ] : 373 Determiners also occasionally function as modifiers in noun phrases (e.g., the many changes ), determiner phrases (e.g., many more ) or in adjective or adverb phrases (e.g., not that big ).
In the first example, the notion denotes the set of "three men" is a subset of "those men". The second example has an overt noun inserted between the quantifier and the partitive PP and is still considered grammatical, albeit odd and redundant to a native speaker of Catalan. The third sentence has an empty noun holding the final noun position.
For example, in Zermelo–Fraenkel set theory, variables range over all sets. In this case, guarded quantifiers can be used to mimic a smaller range of quantification. Thus in the example above, to express For every natural number n, n·2 = n + n. in Zermelo–Fraenkel set theory, one would write For every n, if n belongs to N, then n·2 = n + n,
In English, for example, the words my, your etc. are used without articles and so can be regarded as possessive determiners whereas their Italian equivalents mio etc. are used together with articles and so may be better classed as adjectives. [4] Not all languages can be said to have a lexically distinct class of determiners.
For example: couple (2), [21] dozen (12), score (20); myriad (10,000). When a quantity word is prefixed with an indefinite article then it is sometimes intended or interpreted to be indefinite. For example, "one million" is clearly definite, but "a million" could be used to mean either a definite (she has a million followers now) or an ...
In symbolic logic, the universal quantifier symbol (a turned "A" in a sans-serif font, Unicode U+2200) is used to indicate universal quantification. It was first used in this way by Gerhard Gentzen in 1935, by analogy with Giuseppe Peano's (turned E) notation for existential quantification and the later use of Peano's notation by Bertrand Russell.