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Topic: Uncountable


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In the News (Mon 17 Jun 19)

  
  NationMaster - Encyclopedia: Uncountable
The statement that R is the smallest uncountable set (in the sense that its cardinal number is the smallest uncountable cardinal number) is the continuum hypothesis; this hypothesis is independent from the ordinary axioms of set theory.
By Theorem 7, the configuration signature of an uncountable homogeneous-universal Dedekind algebra is describable iff the cardinality of the algebra is characterizable.
In the second sentence, the usually uncountable noun wheat is used as a countable noun in the plural to refer to types of wheat.
www.nationmaster.com /encyclopedia/Uncountable   (397 words)

  
 PlanetMath: uncountable   (Site not responding. Last check: 2007-11-07)
Definition A set is uncountable if it is not countable.
This is version 5 of uncountable, born on 2001-11-16, modified 2006-07-12.
Object id is 884, canonical name is Uncountable.
planetmath.org /encyclopedia/Uncountable.html   (84 words)

  
 The Writing Center at Rensselaer Polytechnic Institute
Uncountable nouns often refer to food, beverages, substances, or abstractions (meat, tea, steel, information); some uncountable nouns (but not the abstract ones) can be made countable by adding a count frame in front of them (two gallons of milk, six blocks of ice, a bar of soap, a bunch of celery).
Similarly, the uncountable noun glass is a substance made from silicates; a glass (singular) is something you drink from; and glasses (plural) are frames containing lenses that correct imperfect vision.
Moreover, a noun that is countable in your native language may be uncountable in English, and vice-versa.
www.rpi.edu /web/writingcenter/esl.html   (3569 words)

  
 English Uncountable Nouns - English Grammar
Uncountable nouns are nouns that can not be counted.
Certain quantifiers can be used with uncountable nouns, such as some, any, much, a lot are some examples of the quantifiers that can be used with uncountable nouns.
Quaintly of uncountable nouns is expressed by the expression "a.
www.english-the-easy-way.com /Nouns/Uncountable_Nouns.htm   (154 words)

  
 PlanetMath: uncountable   (Site not responding. Last check: 2007-11-07)
Definition A set is uncountable if it is not countable.
This is version 5 of uncountable, born on 2001-11-16, modified 2006-07-12.
Object id is 884, canonical name is Uncountable.
www.planetmath.org /encyclopedia/UncountableSet.html   (86 words)

  
  20th WCP: The Model Theory Of Dedekind Algebras
Since the class of uncountable homogeneous-universal Dedekind algebras is a finitary class, for each such algebra there is a subset of its theory all of whose models of the same cardinality are isomorphic.
THEOREM 9: All uncountable homogeneous Dedekind algebras are quasi-characterizable.
By Theorem 7, the configuration signature of an uncountable homogeneous-universal Dedekind algebra is describable iff the cardinality of the algebra is characterizable.
www.bu.edu /wcp/Papers/Logi/LogiWeav.htm   (3006 words)

  
 English Grammar - UNCOUNTABLE NOUNS - Word Power
Nouns which can be either countable or uncountable include nouns which may have different shades of meaning; normally uncountable nouns which are used to refer to types of things; and a few nouns which refer to places used for specific activities.
Many nouns are uncountable when they refer to something as a substance or a concept, but are countable when they refer to an individual thing related to the substance or concept.
In the second sentence, the usually uncountable noun wheat is used as a countable noun in the plural to refer to types of wheat.
www.wordpower.ws /grammar/gramch16.html   (1664 words)

  
 Uncountable set - Wikipedia, the free encyclopedia
In mathematics, an uncountable or nondenumerable set is a set which is not countable.
The best known example of an uncountable set is the set R of all real numbers; Cantor's diagonal argument shows that this set is uncountable.
The diagonalization proof technique can also be used to show that several other sets are uncountable as well, for instance the set of all infinite sequences of natural numbers (and even the set of all infinite sequences consisting only of zeros and ones) and the set of all subsets of natural numbers.
en.wikipedia.org /wiki/Uncountable_set   (406 words)

  
 Science Fair Projects - Uncountable set
Explicitly, a set X is uncountable iff there does not exist a surjective function from the natural numbers N to X.
Another example of a uncountable set is the set of all functions from R to R.
A much more abstract example of an uncountable set is the set of all countably infinite ordinal numbers, denoted Ω.
www.all-science-fair-projects.com /science_fair_projects_encyclopedia/Uncountable_set   (495 words)

  
 Uncountable set Summary   (Site not responding. Last check: 2007-11-07)
In mathematics, an uncountable or nondenumerable set is a set which is not countable.
Not all uncountable sets have the same size; the sizes of infinite sets are analyzed with the theory of cardinal numbers.
The diagonalization proof technique can also be used to show that several other sets are uncountable as well, for instance the set of all infinite sequences of natural numbers (and even the set of all infinite sequences consisting only of zeros and ones) and the set of all subsets of natural numbers.
www.bookrags.com /Uncountable_set   (1088 words)

  
 Countable and Uncountable Nouns   (Site not responding. Last check: 2007-11-07)
Uncountable nouns are not used in the plural.
Although it is often easy to distinguish between countable and uncountable nouns, the distinction is not always obvious for all nouns.
For this reason, you may find it useful to consult a specialized dictionary when you are not sure whether a particular noun is countable or uncountable or whether it has special meanings in one category or the other.
mit.imoat.net /handbook/n-c-unc.htm   (151 words)

  
 OWL at Purdue University: Count and NonCount Nouns (with Articles and Adjectives)
Some concrete nouns are uncountable (when understood in their undivided sense).
While uncountable nouns do not generally take a plural form, sometimes they may be pluralized when used in a countable sense.
The is sometimes used with uncountable nouns in the same way it is used with plural countable nouns, that is, to refer to a specific object, group, or idea.
owl.english.purdue.edu /handouts/esl/eslcount2.html   (679 words)

  
 One Stop English | Grammar reference: Nouns and phrases
Uncountable nouns generally refer to things that we don’t think of counting because they do not naturally divide into separate units.
Uncountable nouns have no plural form and are never used with numbers.
Uncountable nouns can occur with the definite article the and possessive or demonstrative pronouns, but never occur with each, every, numbers, or the indefinite article a / an, e.g.:
www.onestopenglish.com /section.asp?catid=59613&docid=152822   (1090 words)

  
 Understanding Countable and Uncountable Nouns
These nouns are considered uncountable because they are not easily identified as single things--the idea of happiness can consist of many different things and can be different for different people--or because they refer to general activities rather than specific instances; eating refers to the activity in general, not any particular example.
Some uncountable nouns like money, homework, work, and gossip are very confusing for learners of English because they seem to refer to particular items, yet they are treated as general.
When a student says, "I have to do my homework," he or she may mean one assignment or several assignments or parts of one or more assignments, so the student knows what particular activities are involved, but they are referred to as part of a generalized activity--my homework can be something different every day.
rwc.hunter.cuny.edu /reading-writing/on-line/countable.html   (732 words)

  
 Math Forum Discussions   (Site not responding. Last check: 2007-11-07)
uncountable, but what you get is not in any way a subset of what you
In other words, you are appending an uncountable number of zeroes to the
Then Y is a superset of X, and Y is uncountable.
www.mathforum.org /kb/message.jspa?messageID=495289&tstart=0   (1064 words)

  
 English Grammar: Uncountable Nouns (EnglishClub.com)
Uncountable nouns are substances, concepts etc that we cannot divide into separate elements.
Here are some more examples of countable and uncountable nouns.
When you learn a new word, it's a good idea to learn whether it's countable or uncountable.
www.englishclub.com /grammar/nouns-un-countable_2.htm   (118 words)

  
 Math Forum Discussions - Re: is infinite countable or uncountable?
correspondence with a subset of the integers, uncountable
There are uncountably many infinite subsets of the integers.
The Math Forum is a research and educational enterprise of the Drexel School of Education.
www.mathforum.com /kb/thread.jspa?forumID=13&threadID=1140078&messageID=3733989   (227 words)

  
 Infinite and uncountable data structures
This stirred up a long discussion: whether the number of leaves in the tree is countable, whether constructive reals can be effectively enumerated, and if it makes sense to talk about (uncountable) infinities in the constructive context of computer programming.
The set of all binary strings is known to be uncountable.
Because the set of all binary strings is uncountable, so is the set of the paths admitted by the tree.
okmij.org /ftp/Computation/uncountable-sets.html   (1058 words)

  
 Is this correct(countable vs uncountable)
For countable vs. uncountable, I'd say that countable sets can be put on a list, while uncountable ones are "too big" for any list.
An uncountable set is one where you can't number all of the elements.
The real numbers are uncountable because, given a list of real numbers, you can construct a real number not on the list.
www.physicsforums.com /showthread.php?p=1077371#post1077371   (1073 words)

  
 Countable/uncountable - Englishpage.com Forums
Some nouns are marked as "countable and uncountable" in dictionaries.
Is "conversion" in this context countable or uncountable?
But "I'm considering a conversion to Catholicism" sounds weird to me. The choice between countable and uncountable for "conversion" is really messy to me too.
www.englishpage.com /forums/showthread.php?p=16422   (431 words)

  
 OWL at Purdue University: Adjectives with Countable and Uncountable Nouns
OWL at Purdue University: Adjectives with Countable and Uncountable Nouns
They are used with uncountable nouns when they mean MUCH and with countable nouns when they mean MANY.
This phrase is informal and always precedes an uncountable noun.
owl.english.purdue.edu /handouts/esl/esladjnoun.html   (180 words)

  
 Uncountable Sets   (Site not responding. Last check: 2007-11-07)
This is somewhat harder to prove, but think about a way of "counting" all the ordered pairs, (m,n), where m and n are natural numbers.
One of the best known examples of an uncountable set is the set of all real numbers.
The demonstration that the real numberes are uncountable is another example of proof by contradiction.
www.math.uic.edu /~lewis/las100/uncount.html   (352 words)

  
 Nouns and Articles: Uncountable Nouns
The concept of countable and uncountable nouns is especially important in determining article use in English.
You can use an uncountable noun in a countable sense--that is, indicate a quantity of it--by adding a word or phrase that indicates quantity.
Some nouns can be countable in one context and uncountable in another.
college.hmco.com /english/raimes/digitalkeys/keyshtml/nouns_a4.htm   (223 words)

  
 Nouns - Language Arts Lesson Plan, Thematic Unit, Activity, Worksheet, or Teaching Idea
Have your students help you write the definition of nouns and uncountable nouns on the board.
Ask students individually to tell if the picture shown is of a countable or uncountable noun.
HOMEWORK: The students will be asked to write five countable and uncountable nouns in their notebooks.
www.lessonplanspage.com /LAUncountableNouns812.htm   (238 words)

  
 Learn English Free and Fast - Countable Nouns and Uncountable Nouns
To make uncountable nouns countable add a counting word, such as a unit of measurement, or the general word piece.
The notion of countable and uncountable can be confusing.
Some supposedly uncountable nouns can behave like countable nouns if we think of them as being in containers, or one of several types.
www.zozanga.com /grammar/noununcount.htm   (323 words)

  
 teaching countable and uncountable nouns to young learners - UsingEnglish.com ESL Forum
Make two spots on a table, one is for countable items and the other is for uncountable.
Give the students several small slips of paper each and have them draw pictures of items that are uncountable.
When a student finishes a drawing have them hand it in then poll the class as to wether it is really countable or uncountable.
www.usingenglish.com /forum/teaching-english/11950-teaching-countable-uncountable-nouns-young-learners.html   (378 words)

  
 Uncountable Infinity
However, the real numbers, of course, do exist, and are thus uncountable.
The proof of this statement is similar to the above proposition, and is left as an exercise.
Now we know examples of countable sets (natural numbers, rational numbers) as well as of uncountable sets (real numbers, any interval of real numbers).
pirate.shu.edu /projects/reals/infinity/uncntble.html   (911 words)

  
 countable uncountable
And by the way do you know a web site where I can find more information and explanations on nouns which are both count.
It is uncountable when you think of it as a boundaryless substance.
It is countable when you think of it as an object with boundaries.
www.englishforums.com /English/CountableUncountable/dwjkl/Post.htm   (356 words)

  
 nouns - (Un) countable nouns - grammar - central - British Council - LearnEnglish
Uncountable nouns are things that we cannot count.
You cannot use a/an before an uncountable noun.
Uncountable nouns are followed by the singular form of the verb:
www.britishcouncil.org /vi/learnenglish-central-grammar-nouns-uncountable.htm   (179 words)

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