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Topic: Extensional definition

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file extension

field extension

Life extension

filename extension

algebraic extension

axiom of extensionality

extension semantics

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	Definition (Site not responding. Last check: 2007-10-03)
		In Roman Catholicism, a "dogmatic definition" by a pope or an ecumenical council.
		The sort of definition that philosophers are interested in, insofar as they are interested in definitions at all, is one that identifies the intension, not the extension of the word.
		The definition of a concept, or of (a given sense of) a word or phrase, is a description of its intension--that is, the set of properties that characterizes all and only members of the extension of the word; the extension is all the things that the concept, word, or phrase applies to.
	bopedia.com /en/wikipedia/d/de/definition_1.html (1493 words)

	Medical Definitions -- Recommendations and Resources (Site not responding. Last check: 2007-10-03)
		Definition by genus and difference "is one in which a word or concept that indicates a species -- a specific type of item, not necessarily a biological category -- is described first by a broader category, the genus, then distinguished from other items in that category by differentia."
		A definition is the description of a pattern; if the pattern has been named definition may be of the assigned name or word customarily used as in a dictionary.
		I'm curious about wording of this definition of "definition": :the set of properties that characterizes all and only members of the extension of the word This appears to be a broader definition than one in terms of "individually necessary and jointly sufficient" conditions.
	www.becomingapediatrician.com /health/93/medical-definitions.html (707 words)

	Chapter Three (Site not responding. Last check: 2007-10-03)
		A theoretical definition of a term is a definition that attempts to formulate a theoretically adequate or scientifically useful description of the objects to which the term applies.
		A persuasive definition is a definition formulated and used persuasively to resolve a dispute by influencing attitudes or stirring emotions, often relying on the use of emotive language.
		A kind of extensional definition in which the objects denoted by the term being defined are referred to by means of pointing, or with some other gesture; sometimes called a demonstrative definition.
	puffin.creighton.edu /yuan/logic/Outline/LogicCh3.htm (1375 words)

	Intensional definition - Wikipedia, the free encyclopedia
		This is the opposite approach to the extensional definition, which defines by listing everything that falls under that definition -- an extensional definition of "bachelor" would be a listing of all the unmarried men in the world.
		It is impossible to give an extensional definition for an infinite set, but an intensional one can often be stated concisely -- there is an infinite number of even numbers, impossible to list, but they can be defined by saying that even numbers are integer multiples of two.
		Definition by genus and difference, in which something is defined by first stating the broad category it belongs to and then distinguished by specific properties, is a type of intensional definition.
	en.wikipedia.org /wiki/Intensional_definition (409 words)

	"Definitions, Dictionaries, and Meanings", by Norman Swartz, Dept. of Philosophy, Simon Fraser University
		The extension of "number" is infinite; the extension of "even number less than 10 and greater than 6" is very small: it is the number "8"; and increasing the intension of "number" to "even number less than 10 and greater than 16" reduces the extension right down to zero.
		All extensional definition carries with it the risk that the person to whom the definition is being given will form the wrong idea how others might use the term for cases not present or discussed.
		Definition by ostension is restricted to terms whose extensions include members which exist at present or in the very near future and which, further, are in one's immediate vicinity.
	www.sfu.ca /philosophy/swartz/definitions.htm (16867 words)

	Types of definitions (Site not responding. Last check: 2007-10-03)
		The structure of analytic definitions is discussed in paragraph 2.3.3.4.
		Extensional definition: Definition with reference to the parts of the concepts.
		Definition by context: the context and usage of a term is given.
	coral.lili.uni-bielefeld.de /~ttrippel/terminology/node53.html (338 words)

	Extensional definition - Wikipedia, the free encyclopedia
		For example, an extensional definition of the term "nation of the world" might be given by listing all of the nations of the world, or by giving some other means of recognizing the members of the corresponding class.
		Extensional definitions are used when listing examples would give more applicable information than other types of definition, and where listing the members of a set tells the questioner enough about the nature of that set.
		The opposite approach is the intensional definition, which defines by listing properties that a thing must have in order to be part of the set captured by the definition.
	en.wikipedia.org /wiki/Extensional_definition (215 words)

	D (Site not responding. Last check: 2007-10-03)
		The definition of a word, once it is in common use, can be changed by consensus or adapted to new uses, so only the most pedantic or schoolmarmish of people would insist on a strict lexical definition in all cases.
		Extensional definitions can be the simplest and most direct definitions, but they are limited in that they cannot guarantee a complete communication of the intentional meaning of a concept.
		Extensional definitions are usually lexical or stipulative, or theoretical.
	www.candleinthedark.com /d.html (7295 words)

	XML Schema Part 2: Datatypes
		For example, they always have the property of cardinality and some definition of equality and may have the concept of order by which individual values within the value space can be compared to one another.
		[Definition:] The maxlength facet indicates the maximum length, in characters, of a string (§3.2.3) datatype for which the length (§2.4.2.1) facet is not specified.
		This datatype definition would appear in the schema which defines datatypes for XML Schemas and shows that a generated datatype can have the same value space as its basetype, which might mean that it is just an "alias" or "renaming" of basetype.
	xml.coverpages.org /WD-xmlschema-2-19990924.html (8303 words)

	Definition: a definition and an analysis
		This document outlines a markup system for definitions which allows for a great variety in giving a definition, yet lets the author of a document clearly indicate what parts are definitions, what the general kind of the definition is, and what the definiendum and alternate names for it are.
		If definitions were always presented using some markup that minimally indicates what the definiens is and which part of a document constitutes the definition, quite a many useful things could be done.
		Definition lists are typically formatted with the term flush-left and the definition, formatted paragraph style, indented after the term.
	www.cs.tut.fi /~jkorpela/def.html (6405 words)

	[No title]
		Extensional definitions are explicit and list each element of the set without necessarily mentioning the common property shared by all.
		The subtle difference is that the intensional definition does not explicitly enumerate elements belonging to the set whereas the extensional definition does.
		Something significant about the difference between intensional and extensional when defining sets is that an extensional definition explicitly enumerates the elements and the set must therefore be finite.
	lal.cs.byu.edu /logics/glossary.html (1149 words)

	[No title]
		In that case, the 'bindable target' should be a constant (text?) whose referent is being defined, the noun concept formulation should introduce a single variable, and the intensional definiens should be a logical formulation with exactly one free variable, and that variable corresponds to the variable introduced.
		Summary: In clause 9.1.1.9, 'noun concept formulation', the definition is "projecting formulation of a referent noun concept whose intension is formulated in a particular projection" a.
		with this: Definition: projecting formulation that formulates the meaning: the thing to which the bindable target bound to the projecting formulation refers is a noun concept that is defined by the projection of the projecting formulation Replace the Note under.noun concept formulation.
	www.omg.org /issues/issue9728.txt (3220 words)

	[No title]
		Dictionary definitions: Outside of specific rhetorical uses and pointed discussion of bias entrenched in common usage, dictionary definitions are used only by novice writers or those with no gift for public speaking.
		Extensional Definition: Using the extension of a property to define that property.
		The extension of a property is the set of things that have that property.
	ucsub.colorado.edu /~hafere/PHIL1440/review1.htm (465 words)

	Lecture Notes: Week Three
		This is an example of an "extensional" definition (defining a term by listing the things that are included under the term).
		In contrast, an "intentional" definition attempts to specify the necessary and sufficient conditions of the term, the properties of the term, or what some might call the "essence" of the term.
		For our discussion, consider the advantages and disadvantages of this extensional definition, which was developed to specify the allowable areas of funding for the National Endowment for the Arts.
	www.csulb.edu /~jvancamp/361/361_n3.html (914 words)

	ISO-IEC JTC1 SC36 WG7 Frequently Asked Questions (FAQ)
		intensional definition: definition which describes the intension of a concept by stating the superordinate concept and the delimiting characteristics.
		extensional definition: description of a concept by enumerating all of its subordinate concepts under one criterion of subdivision.
		Terms and definitions are organized in a particular subject field (i.e., a terminology).
	clhfa.jtc1sc36.org /faq (6516 words)

	Definition of Type \| Lambda the Ultimate
		If you want an honest definition of `type', with no qualifier, that is, `type' in the most general sense of the word, then you have to get it from someone who knows lots of type systems, and it is clear that you don't.
		For your definition, since Heron is statically typed, you might want to modify the definition to make the connection between types and terms in the language.
		If there is no encompassing definition for type, or type system, and it seems there are very different definitions of it, then the original poster is right that it only makes sense to provide one in his specific Heron context.
	lambda-the-ultimate.org /node/view/412 (6650 words)

	General systems research: quo vadis?
		This yearbook in its new format is an extensional definition of progress in general systems research.
		I believe this definition of a system as being that which uniquely is defined by making a distinction explains many of the virtues, and the vices, of systems theory.
		Varela's account depends on the extension of Brown's "calculus of distinctions" to legitimize the use of certain self-referential forms and is a beautiful example of the span of systemic thinking across biology, logic, and philosophy.
	pages.cpsc.ucalgary.ca /~gaines/reports/SYS/GS79/index.html (6268 words)

	ESGS Intensional/Extensional page (Site not responding. Last check: 2007-10-03)
		In everyday life, an extensional orientation improves the way we perceive the uniqueness of events: it keeps us, for example, from reacting to a present event as if it were about a past event, the basic mechanism of neurosis.
		The most usual error can be stated as "intensional is bad, extensional is good." As with observations and inferences, both are useful and needed.
		Another rare blunder is to consider that "intensional is inside my head, extensional is outside my head," as if what happen inside one's head was only 'abstract.' Of course it is not and we have some vivid PET imagery to prove it.
	www.esgs.org /uk/inex.htm (562 words)

	Ashland Daily Tidings :: Online Edition (Site not responding. Last check: 2007-10-03)
		Of course the definition of mistakes and harm exists only in the fevered imaginations of sanctimonious busybodies who refuse to accept that adults can make all of their own decisions and are completely responsible for all of their own actions.
		I think one of Korzibski's main contributions was the distinction he made between definitions which are "intensional" - in terms of other words - and those which are "extensional" - in terms of examples, objects if need be.
		For example, an extensional definition of "chair" would be to simply point at a bunch of chairs, and say "that's a chair, that's a chair, etc." Extensional definitions are superior, and should always at least be posssible.
	www.dailytidings.com /2003/news1002/100203n6.shtml (1062 words)

	Definition (Site not responding. Last check: 2007-10-03)
		:''For alternative meanings see definition (disambiguation) A definition may be a statement of the essential properties of a certain thing, or a statement of equivalence between a term and that term's meaning.
		To someone not knowing either which trees are oaks or which nuts are acorns, the Definition is fairly useless." (see tautology and Recursive definition)
		Stipulative definition occurs when "a new or currently-existing term is given a new meaning for the purposes of argument or discussion in a given context."
	definition.area51.ipupdater.com (995 words)

	General Semantics Glossary (Site not responding. Last check: 2007-10-03)
		Extensional Definition: defining words and statements by lower-order descriptions and examples and references to non-verbal experiences.
		Extensional Orientation: an attitude towards living which involves orienting ourselves primarily to non-verbal happenings and 'facts'; includes the ability to use intensional approaches when appropriate.
		However, permission is hereby granted to download, copy and distribute the text to others if (1) the text is not altered, and (2) there is no charge to the recipient, and (3) this copyright notice and conditions are attached.
	www.driveyourselfsane.com /dysbook/glossary.html (1467 words)

	Racism (Site not responding. Last check: 2007-10-03)
		One phenom I have noticed is that at gatherings, participants tend to gravitate readily toward the familiar (fellow employees or students, for example), even if they be of different skin colors, while hesitating to approach strangers, even though they be of similar skin color.
		These observations support a situational (extensional) definition of "sameness" that is based more on familiarity than 'race' and sex.
		In gs we would say that racism is an example of over-evaluation by intension (generalization) and under-evaluation by the details of a situation ("the extensional facts").
	www.mcckc.edu /~lewis/racism.htm (434 words)

	[No title]
		For the moment, the ordered pairs in successor5 can be represented by the following "extensional" definition: successor5(0,1).
		Write a similar extensional definition for the less_than5 relation, that describes all ordered pairs such that the first element in the pair is less than (<) the second.
		Write a a definition for the gate using a nand gate and an inverter.
	www.cs.wisc.edu /~fischer/cs538.s02/prolog/lab2 (924 words)

	Congressional definition of "the arts" (Site not responding. Last check: 2007-10-03)
		These definitions are included in the legislation which established (authorized) the National Endowment for the Arts, an agency of the Federal government.
		These definitions are examples of what is known as "extensional" definition, namely, defining a term by listing the things that are included under the term.
		In contrast, an "intensional" definition attempts to specify the necessary and sufficient conditions of the term, the properties of the term, or what some might call the "essence" of the term.
	www.csulb.edu /~jvancamp/361_r8.html (380 words)

	extensional - OneLook Dictionary Search
		We found 14 dictionaries with English definitions that include the word extensional:
		Tip: Click on the first link on a line below to go directly to a page where "extensional" is defined.
		Phrases that include extensional: extensional equality, extensional definition, extensional fault
	www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=extensional (148 words)

	Computational Semiotics
		There is also the intensional definition of a set, where we define a set as the collection of all possible points satisfying a condition.
		We call this operation knowledge extraction, because the extensional definition of the knowledge units in C is a subset of the extensional definition of knowledge units in P. So, it "extracts" from P only part of its semantic content.
		One of the particularities of this operator is that the extensional definition of the knowledge units in C necessarily contains elements that are not originally in the extensional definition of knowledge units in P. They have been added during the process of knowledge generation.
	www.dca.fee.unicamp.br /~gudwin/compsemio (3854 words)

	CSc 520 Principles of Programming Languages :
		The extensional view emphasizes the external behavior (or specification), i.e.
		Here is a mathematical definition of the combinatorial function 23#23 ``n choose r'', which computes the number of ways to pick 24#24 objects from 10#10:
		Give an extensional, intentional, and graphical definition of the combinatorial function, using the notations suggested in this lecture.
	www.cs.arizona.edu /people/collberg/Teaching/520/2005/Html/Html-2 (1097 words)

	[No title]
		First, as noted in the preceding section, extensional definitions fail to distinguish between two terms that have the same denotation (extension) but different intensions.
		The subjective intension of a general term is the set of all attributes that a speaker or writer believes to be possessed by objects denoted by that term.
		For the purposes of definition, this is the most important sense of-and what is generally meant by- intension.
	users.ipfw.edu /caseldij/TheWayWordsWork.ppt (742 words)

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