Lesson plan
Generalized quantifier
In formal semantics, a generalized quantifier (GQ) is an expression that denotes a set of sets. This is the standard semantics assigned to quantified noun phrases. For example, the generalized quantifier every boy denotes the set of sets of which every boy is a member: \{X \mid \forall x (x \text{ is a boy} \to x \in X) \} This treatment of quantifiers has been essential in achieving a compositional semantics for sentences containing quantifiers.
Article summary
In formal semantics, a generalized quantifier (GQ) is an expression that denotes a set of sets. This is the standard semantics assigned to quantified noun phrases. For example, the generalized quantifier every boy denotes the set of sets of which every boy is a member: \{X \mid \forall x (x \text{ is a boy} \to x \in X) \} This treatment of quantifiers has been essential in achieving a compositional semantics for sentences containing quantifiers.
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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Key claims and bibliography are generated from the same tracked claims and sources as the article page.