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Denotation
The core, central, dictionary meaning of a word — usually described through a set of semantic features that identify the basic concept associated with the word.
Connotation
The additional meaning a word carries beyond its denotation, reflecting people's emotions or attitudes toward what the word refers to; it varies according to culture, background, or social context.
One-way entailment
A relation in which sentence X entails sentence Y, but Y does not entail X.
"Max saw a bear" entails "Max saw an animal" — but "Max saw an animal" does not entail "Max saw a bear."
Two-way entailment
A relation in which sentence X entails sentence Y, and Y also entails X (the two sentences are logically equivalent).
"Paul borrowed a car from Sue" entails "Sue lent a car to Paul," and this also works in reverse.
Binary antonymy
A pair of antonyms that are mutually exclusive — there is no middle ground between them. They cannot be used in the comparative/superlative form and cannot be questioned with "how."
alive vs. dead (you cannot say "more dead," or ask "how dead?").
Gradable antonymy
A pair of antonyms that allow intermediate degrees of meaning. They can be used in the comparative/superlative form and can be questioned with "how."
Analyticity
A property of a sentence that is necessarily true as a result of the senses of the words in it.
"Bachelors are unmarried." — true simply because of the meaning of bachelor.
Syntheticity
A property of a sentence that is not analytic, but may be either true or false depending on the way the world actually is.
"Cats never live more than 20 years." — its truth depends on real-world facts, not on word meaning alone.
Predicate
A word/expression that identifies an element in the language system, independent of any particular sentence (like a dictionary entry); a predicate has only one sense.
In "The bald man laughed," the words BALD, MAN, and LAUGH are all predicates (units of the language system).
Predicator
The semantic role played by a particular word/group of words in a specific sentence. A simple sentence has only ONE predicator, even though it may contain more than one predicate.
In "The bald man laughed," the words BALD, MAN, and LAUGH are all predicates (units of the language system). However, only LAUGH functions as the predicator of this sentence — it is the one actually predicating something about the referring expression "the bald man."