Extensive vs Extensional - What's the difference?
extensive | extensional |
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}}
Having great extent.
As adjectives the difference between extensive and extensional
is that extensive is in the nature of an extent, wide, widespread while extensional is of or pertaining to extension.extensional
English
Adjective
(en adjective)- 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.