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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 ...
Augustus De Morgan confirmed this in 1847, but modern usage began with De Morgan in 1862 where he makes statements such as "We are to take in both all and some-not-all as quantifiers". [ 13 ] Gottlob Frege , in his 1879 Begriffsschrift , was the first to employ a quantifier to bind a variable ranging over a domain of discourse and appearing in ...
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 ).
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a few, a little [1]: 391 -body, -one, -thing, & -where [1]: 411 . anybody, anyone, anything, anywhere; everybody, everyone, everything, everywhere; nobody, no one ...
In English, these higher words are hundred 10 2, thousand 10 3, million 10 6, and higher powers of a thousand (short scale) or of a million (long scale—see names of large numbers). These words cannot modify a noun without being preceded by an article or numeral (* hundred dogs played in the park ), and so are nouns.
A form of logical expression where all quantifiers are moved to the front, standardizing the structure of first-order logical statements. primitive recursion A form of recursion where a function is defined in terms of itself, using simpler cases, with a base case to stop the recursion. primitive recursive function
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.