Definitions for extensional
ex·ten·sion·al

Princeton's WordNetRate this definition:0.0 / 0 votes

1. extensionaladjective

   defining a word by listing the class of entities to which the word correctly applies

WiktionaryRate this definition:0.0 / 0 votes

1. extensionaladjective

   Of or pertaining to extension.

2. extensionaladjective

   Having great extent.

WikipediaRate this definition:0.0 / 0 votes

1. extensional

   In any of several fields of study that treat the use of signs — for example, in linguistics, logic, mathematics, semantics, semiotics, and philosophy of language — an extensional context (or transparent context) is a syntactic environment in which a sub-sentential expression e can be replaced by an expression with the same extension and without affecting the truth-value of the sentence as a whole. Extensional contexts are contrasted with opaque contexts where truth-preserving substitutions are not possible. Take the case of Clark Kent, who is secretly Superman. Suppose that Lois Lane fell out of a window and Superman caught her. Thus the sentence "Superman caught Lois Lane" is true. Because this sentence is an extensional context, the sentence "Clark Kent caught Lois Lane" is also true. Anybody that Superman caught, Clark Kent caught. In opposition to extensional contexts are intensional contexts (which can involve modal operators and modal logic), where terms cannot be substituted without potentially compromising the truth-value. Suppose that Lois Lane believes that Clark Kent will investigate a news story with her. Thus, the sentence "Lois Lane believes that Clark Kent will investigate a news story with her" is true. However, the statement, "Lois Lane believes that Superman will investigate a news story with her," is false. This is because 'believes' typically induces an intensional context. Lois Lane doesn't believe that Superman is Clark Kent and the propositional attitude "believe" induces an intensional context, so the substitution alters the meaning of the original sentence.

ChatGPTRate this definition:0.0 / 0 votes

1. extensional

   Extensional refers to concepts, theories, or philosophies that are based on the external, observable, and tangible properties or characteristics of things, rather than their internal, abstract, or theoretical qualities. This includes the belief that the meaning or identity of an object, word, or concept is determined by the elements or items that exist within it or are associated with it. Essentially, it is focused on what is demonstrable and verifiable.

Webster DictionaryRate this definition:1.0 / 1 vote

1. Extensionaladjective

   having great extent

Matched Categories

1. • Logic

How to pronounce extensional?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say extensional in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of extensional in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of extensional in Pythagorean Numerology is: 3

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References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=extensional
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Extensional
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Extensional
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Webster Dictionary
   https://www.merriam-webster.com/dictionary/extensional