Quantifier (logic)

Plural quantification

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. (Wikipedia).

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From playlist Unit 1: Descriptive Statistics

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From playlist Unit 1: Descriptive Statistics

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This video is brought to you by the Quantitative Analysis Institute at Wellesley College. The material is best viewed as part of the online resources that organize the content and include questions for checking understanding: https://www.wellesley.edu/qai/onlineresources

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Related pages

Adam Morton | Mathematical logic | Sentence (mathematical logic) | Monadic second-order logic | Set theory | Mathematics | Willard Van Orman Quine | Bertrand Russell | Foundations of mathematics | Gottlob Frege | Second-order logic | Generalized quantifier | Arity | Variable (mathematics) | George Boolos