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Alternative semantics (or Hamblin semantics) is a framework in formal semantics and
logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
. In alternative semantics, expressions denote ''alternative sets'', understood as sets of objects of the same semantic type. For instance, while the word "Lena" might denote Lena herself in a classical semantics, it would denote the singleton set containing Lena in alternative semantics. The framework was introduced by Charles Leonard Hamblin in 1973 as a way of extending Montague grammar to provide an analysis for
questions A question is an utterance which serves as a request for information. Questions are sometimes distinguished from interrogatives, which are the grammar, grammatical forms, typically used to express them. Rhetorical questions, for instance, are i ...
. In this framework, a question denotes the set of its possible answers. Thus, if P and Q are
proposition A proposition is a statement that can be either true or false. It is a central concept in the philosophy of language, semantics, logic, and related fields. Propositions are the object s denoted by declarative sentences; for example, "The sky ...
s, then \ is the denotation of the question whether P or Q is true. Since the 1970s, it has been extended and adapted to analyze phenomena including focus, scope,
disjunction In logic, disjunction (also known as logical disjunction, logical or, logical addition, or inclusive disjunction) is a logical connective typically notated as \lor and read aloud as "or". For instance, the English language sentence "it is ...
, NPIs, presupposition, and implicature.


See also

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References

Semantics Non-classical logic Systems of formal logic {{semantics-stub