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.
The point of the theory is to give first-order logic the power of set theory, but without any "existential commitment" to such objects as sets. The classic expositions are Boolos 1984 and Lewis 1991.
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In mathematics and logic, pluralquantification is the theory that an individual variable x may take on plural, as well as singular, values. As well as...
symbolization, which can be interpreted as pluralquantification over the same domain as first-order quantifiers use, without postulation of distinct "second-order...
(also called a bound variable anaphor or BVA) is a pronoun that has a quantified determiner phrase (DP) – such as every, some, or who – as its antecedent...
English plurals include the plural forms of English nouns and English determiners. This article discusses the variety of ways in which English plurals are...
heretofore obtained by set theory can just as easily be obtained by pluralquantification over individuals, without reifying sets as singular entities having...
first-order variables range. The result is pluralquantification. David Lewis employed pluralquantification in his Parts of Classes to derive a system...
adnumerative, or the genitive of quantification. When a noun in the nominative case has a numeral added to quantify it, the noun becomes genitive singular...
properties. pluralquantificationQuantification over multiple objects or entities considered together, extending beyond singular quantification to express...
treatment of masculine personal nouns in the plural, and the complex grammar of numerals and quantifiers. Certain regular or common alternations apply...
chairs", though note the different quantifiers "much" and "many"). Mass nouns have no concept of singular and plural, although in English they take singular...
Minor premise Term Singular term Major term Middle term QuantificationPluralquantification Logical argument Validity Soundness Inverse (logic) Non sequitur...
A plurale tantum (Latin for 'plural only'; pl. pluralia tantum) is a noun that appears only in the plural form and does not have a singular variant for...
treated as singular, but the plural sense is well established and widely accepted. English has the following quantifier pronouns: Uncountable (thus, with...
English generally accept that collective nouns take either singular or plural verb forms depending on context and the metonymic shift that it implies...
particular without reference to set theory or using extensions such as pluralquantification. Elementary definitions are of particular interest because they...
dictionary. Many (/ˈmɛni/) may refer to: grammatically plural in number an English quantifier used with count nouns indicating a large but indefinite...
(masculine or feminine) and number (singular or plural) with the noun they determine, though most have only one plural form (for masculine and feminine). Many...
have only one grammatical form. Categories such as number (singular or plural) and verb tense are often not expressed by grammatical means, but there...
cross-linguistically. An example of a pronoun is "you", which can be either singular or plural. Sub-types include personal and possessive pronouns, reflexive and reciprocal...
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...
and others worldwide. Its name in English is a (pronounced /ˈeɪ/ AY), plural aes. It is similar in shape to the Ancient Greek letter alpha, from which...