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Extensional vs Intentional - What's the difference?

extensional | intentional |

As adjectives the difference between extensional and intentional

is that extensional is of or pertaining to extension while intentional is intended or planned; done deliberately or voluntarily.

extensional

English

Adjective

(en adjective)
  • Of or pertaining to extension.
  • * {{quote-web
  • , date = 2011-07-20 , author = Edwin Mares , title = Propositional Functions , site = The Stanford Encyclopedia of Philosophy , url = http://plato.stanford.edu/archives/fall2011/entries/propositional-function , accessdate = 2012-07-15}}
         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.
  • Having great extent.
  • Derived terms

    * extensional definition * extensionally

    intentional

    English

    Adjective

    (en adjective)
  • Intended or planned; done deliberately or voluntarily.
  • (legal) Done with intent.
  • Antonyms

    * unintentional

    Derived terms

    * intentionally