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intension

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intension
intension (ɪnˈtɛnʃən) [ad. L. intensiōn-em stretching, straining, n. of action from intendĕre to stretch: see intend, intense, and cf. intention, which is etymologically a doublet of this.] 1. The action of stretching, tension; straining. ? Obs.1603 Holland Plutarch's Mor. 395 There be in musicke ma... Oxford English Dictionary
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Intension - Wikipedia
Intension. 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 intension is any property or quality connoted by a word, phrase, or another symbol. [1] In the case of a word, the word's definition often implies an intension.
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Intension - Definition, Meaning & Synonyms | Vocabulary.com
intension: 1 n what you must know in order to determine the reference of an expression Synonyms: connotation Type of: import , meaning , significance , signification the message that is intended or expressed or signified
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Intension and extension | Definition, Example, & Facts
intension and extension, in logic, correlative words that indicate the reference of a term or concept: "intension" indicates the internal content of a term or concept that constitutes its formal definition; and "extension" indicates its range of applicability by naming the particular objects that it denotes. For instance, the intension of "ship" as a substantive is "vehicle for ...
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Intention vs Intension: Decoding Common Word Mix-Ups
Intention is commonly used to refer to a person's conscious decision or plan to perform a particular action. It relates to their mental state and purpose. For instance, in cognitive psychology, researchers often investigate the intention behind certain cognitive processes, such as attention or memory. ...
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Intention vs Intension - What's the difference? | WikiDiff
A stretching or bending of the mind toward of the mind toward an object; closeness of application; fixedness of attention; earnestness. * ( John Locke) (1632-1705) *: Intention is when the mind, with great earnestness, and of choice, fixes its view on any idea. ( lb) The object toward which the thoughts are directed; end; aim.
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What is the difference between intension and intention?
See Intention: "Intention is an agent's specific purpose in performing an action or series of actions, the end or goal that is aimed at. Outcomes that are not anticipated and not foreseen are known as unintended consequences." See Intension: "In linguistics, logic, philosophy, and other fields, an intension is any property or quality connoted ...
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Intention vs. Intension — What's the Difference?
Aug 23, 2023Intention primarily relates to the purpose or aim behind an action or thought. It denotes one's resolve to execute a particular action or achieve a specific result. On the other hand, intension is a term used in logic and linguistics that pertains to the internal content or inherent attributes that make up the meaning of a term. For instance ...
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Word Choice: Intension vs. Intention | Proofed's Writing Tips
An intention is an aim or outcome that someone sets out to achieve. Intension is a specialist word used in logic and linguistics. If you're referring to what somebody wants to do, the word you need will be "intention.". And the fact that it has a similar meaning to the word "inten t " should remind you to spell it with a "t ...
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Comprehension (logic)
This is the correct technical term for the whole collection of intensions of an object, but it is common in less technical usage to see 'intension' used See also Extension Extensional definition Intension Intensional definition Concepts in logic Definition wikipedia.org
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What does "extension" mean in the Axiom of extension I am learning Set Theory from the book _Naive Set Theory_ by Halmos as part of my course. The first chapter is on the Axiom of Extension. I understand what it is bu...
axiom states that two sets are equal if they have the same elements, i.e. they are equal in "extension" (scope, content), as opposed to equality in "intension example, the set of black US presidents is currently equal in extension to the set containing Barack Obama as a single element, but they are different in intension
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David Chalmers
For example, the words, "Water is H2O" are taken to express two distinct propositions, often referred to as a primary intension and a secondary intension So if we assign "water" the primary intension watery stuff then the secondary intension of "water" is H2O, since H2O is watery stuff in this world. wikipedia.org
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Am I correct in understanding Axiom of Extension? Halmos mentions the following: > **Axiom of extension:** Two sets are equal **_if and only_** [emphasized] if they have the same elements. My understanding of Axiom ...
> According to Jech, the converse of the Extensionalty Axiom "is an axiom of predicate calculus." If the underlying logic is predicate calculus **with** equality, we have the _substitution axiom for formulas_ : > $x = y → (\varphi → \varphi')$, where $\varphi'$ is obtained by replacing any number of...
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Prove that $f$ has a fixed point. Let $f:[0,\infty [\to[0,\infty [$ continuous such that $$\lim_{t\to\infty }\frac{f(t)}{t}=\ell\in[0,1).$$ Prove that $f$ has a fixed point, i.e. there is an $x\geq 0$ such that $f(x)...
Consider the function $g(t)=f(t)-t$. Since $f$ is nonnegative, we must have $g(0) \ge 0$. If $g(0)=0$, we are done. Otherwise, we have $\lim_{t \to \infty} \frac{g(t)}{t}=\ell-1<0,$ so $g(t)<0$ for sufficiently large $t$. It immediately follows by the Intermediate Value Theorem that $g$ has a positi...
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Two-dimensionalism
So, if we assign "water" the primary intension watery stuff, then the secondary intension of "water" is H2O, since H2O is watery stuff in this world. Let "1-possible" refer to possibility relative to primary intension and "2-possible" relative to secondary intension. wikipedia.org
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