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In English, mass nouns are characterized by the impossibility of being directly modified by a numeral without specifying a unit of measurement and by the impossibility of being combined with an indefinite article (a or an). Thus, the mass noun "water" is quantified as "20 litres of water" while the count noun "chair" is quantified as "20 chairs".
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: e.g., two dozen or more than a score. Scientific non-numerical quantities are represented as SI units.
A bare noun is a noun that is used without a surface determiner or quantifier. [1] In natural languages , the distribution of bare nouns is subject to various language-specific constraints. Under the DP hypothesis a noun in an argument position must have a determiner or quantifier that introduces the noun, warranting special treatment of the ...
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In mathematics and logic, plural quantification is the theory that an individual variable x may take on plural, as well as singular, values.As well as substituting individual objects such as Alice, the number 1, the tallest building in London etc. for x, we may substitute both Alice and Bob, or all the numbers between 0 and 10, or all the buildings in London over 20 stories.
For example, in "seven-eighths of an apple" the fraction acts as a noun. Compare that to "seven slices of apple" where "apple" is a mass noun and does not require the article "an". Combining the two, e.g. "seven-eighths of a slice of apple", makes it clear the fraction must be a noun referring to a part of another countable noun.
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.