different between extensional vs intensional
extensional
English
Etymology
extension +? -al
Adjective
extensional (not comparable)
- Of or pertaining to extension.
- In both the intensional and extensional logic traditions, we see theories of complex terms. In the extensional tradition, disjunctive and conjunctive terms are interpreted by taking the union and intersection of classes. The conjunctive term AB is interpreted as the intersection of the class A and the class B and the extension of the disjunctive term A+B is understood as the union of the extensions of A and B.
In the intensional tradition, the reverse holds. The term AB is interpreted as the union of the properties in the intent of A and the intent of B and A+B is interpreted as the intersection of the properties in A and B. This reversal makes sense, since more things fit a smaller number of properties and fewer things fit a larger number of properties.
- In both the intensional and extensional logic traditions, we see theories of complex terms. In the extensional tradition, disjunctive and conjunctive terms are interpreted by taking the union and intersection of classes. The conjunctive term AB is interpreted as the intersection of the class A and the class B and the extension of the disjunctive term A+B is understood as the union of the extensions of A and B.
- Having great extent.
Derived terms
- extensional definition
- extensionally
Related terms
- intensional
extensional From the web:
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intensional
English
Etymology
intension +? -al
Adjective
intensional (not comparable)
- Of or pertaining to intension.
- These two treatments of the predicate are typical of the two traditions in traditional logic—the intensional and the extensional traditions. Logicians who can be counted among the intensional logicians are Gottfried Leibniz, Johann Lambert, William Hamilton, Stanley Jevons, and Hugh MacColl. Among the extensional logicians are George Boole, Augustus De Morgan, Charles Peirce, and John Venn.
Antonyms
- extensional
Derived terms
- intensional definition
- intensionalism
- intensional logic
intensional From the web:
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- what is intensional definition
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