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Topic: Open sentence


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In the News (Fri 1 Jan 10)

  
  Open sentence
In mathematics, an open sentence is a sentence in which there are specific numbers which, when used to replace the variables, will allow the resulting expression to evaluate to true.
Every open sentence must have (usually implicitly) a universe of discourse describing which numbers are under consideration as solutions.
This same universe of discourse can be used to describe the solutions to the open sentence in symbolic logic using universal quantification.
www.ebroadcast.com.au /lookup/encyclopedia/op/Open_sentence.html   (410 words)

  
 Wikinfo | Sentence
Usually the sentence comes after a process in which the deciding organ is put in condition to correctly evaluate whether the analysed conduct complies or not with the legal systems, and eventually which aspects of the conduct might regard which laws.
The sentence issued by the Appeal court of highest admitted degree immediately becomes the definitive sentence, as well as the sentence issued in minor degrees that is not resisted by the condemned or by the accusator (or is not resisted within a given time).
The sentence is generally issued by the judge in the name of (or on the behalf of) the superior authority of the State.
www.wikinfo.org /wiki.php?title=Sentence   (866 words)

  
 Negation and Logic   (Site not responding. Last check: 2007-10-20)
Sentence 1 is true if x is replaced by 4, but false if x is replaced by a number other than 4.
Sentence 2 is either true or false depending on the value of the variable "she." Similarly, sentence 4 is either true or false depending on the value of the variable "he." In summary, the truth value of each open sentence depends on what value is used to replace the variable in that sentence.
An open sentence is a statement which contains a variable and becomes either true or false depending on the value that replaces the variable.
www.mathgoodies.com /lessons/vol9/negation.html   (665 words)

  
 Math Logic
The goal of this unit is to teach concepts in math logic including sentences and statements, logical connectors, conditional and biconditional statements, and equivalence and tautologies.
To evaluate sentences represented by compound statements with the connectors not, and, or, and if-then.
To identify the hypothesis and the conclusion of a biconditional.
www.mathgoodies.com /lessons/toc_vol9.html   (451 words)

  
 5Logic
An open sentence is neither true nor false.
An open sentence becomes a proposition only after the variables are replaced by some particular values.
The truth set of an open sentence is a collection of objects from a specified universe which makes the open sentence a true proposition.
www.mnstate.edu /peil/geometry/Logic/5logic.htm   (490 words)

  
 Math Forum - Ask Dr. Math   (Site not responding. Last check: 2007-10-20)
This is not exactly definitive, since although it defines an open sentence as one with a variable, it assumes that it can't be always true.
Open sentences cannot be labeled as true or false, their status is "open." This page doesn't mention that aspect: Algebra Glossary of Terms http://www.wtvl.net/honda/glossaryal.htm open sentence: (10) A sentence containing one or more variables.
In mathematical logic, an open sentence is defined as one that contains "free variables," variables that are not "bound" by being used in a phrase like "for all x" or "there exists an x such that..." (called a quantifier).
mathforum.org /library/drmath/view/53280.html   (814 words)

  
 Truth of Open Sentences
Even though the sentence conveys a complete thought, the sentence may be true for some people and false for others.
An even worse situation is the case where it is impossible to determine the truth value of a sentence due to a lack of information.
Open sentences require that you have additional information to determine whether they are true or false.
regentsprep.org /Regents/math/opensent/Lopensen.htm   (161 words)

  
 [No title]   (Site not responding. Last check: 2007-10-20)
In SL we took sentences to be the smallest unit of logical analysis, but sentences are composed of subjects and predicates.
A sentence is a substitution instance of an open sentence if it can be obtained from that open sentence by uniform substitution of individual terms for individual variables.
The scope of a quantifier added to an open sentence is the same as the scope of the negation added to the same sentence.
students.washington.edu /lhannah/logic/week6.doc   (1061 words)

  
 Spanish Sentences -- Recommendations and Resources   (Site not responding. Last check: 2007-10-20)
Sentenced is a heavy metal band formed in 1989, in the town of Muhos, Finland.
Sentenced's predecessor ''Deformity'' got started back in 1988, but in 1989 as the band's line-up changed, the name also changed to Sentenced.
Rather, the open sentence is itself (in some cases) an equation.
www.becomingapediatrician.com /health/138/spanish-sentences.html   (987 words)

  
 Segmenting Waveforms   (Site not responding. Last check: 2007-10-20)
In sentence (1) the closures are produced by action of the lips (labial constrictor), in (2), by the action of the tongue tip (coronal constrictor).
At the beginning of sentence (1), the vocal tract is open, and it remains open until the closure of the lips for the
Note that the beginning of the open interval after the release of the /p/ is voicless and voicing begins at some point later during this voiceless interval.
sapir.ling.yale.edu /Ling120/Week4/Segmenting/segmenting.html   (1280 words)

  
 Open sentence - Wikipedia, the free encyclopedia
In the jargon of the new mathematics of the 1960s, an open sentence is a sentence in which there are specific numbers which, when used to replace the variables, will allow the resulting expression to evaluate to true.
An open sentence (usually an equation or inequality) is described as "open" in the sense that its truth value is meaningless until its variables are replaced with specific numbers, at which point the truth value can usually be determined (and hence the sentences are no longer regarded as "open").
These possible replacement values are assumed to range over a subset of either the real or complex numbers, depending on the equation or inequality under consideration (in applications, real numbers are usually associated also with measurement units).
en.wikipedia.org /wiki/Open_sentence   (576 words)

  
 Unit 4: Complex Processing
The response time and correctness are reported classified by whether the sentence is true or false (for convenience, the first 4 sentences are true), by the voice of the study sentence, and by the voice of the test sentence on which it is based, represented as "study type"-"test type".
Basically, subjects are slower to judge passive sentences than active sentences, show an effect of the truth of the judgement, but are not affected by the voice of the original sentence they studied.
An active sentence reflects the default pattern in English which is that the first word is an agent, the second the action, and the third the object.
act.psy.cmu.edu /85-412/assignment4/unit4.htm   (1646 words)

  
 4-A1.html
Students will conclude if an open sentence is true sometimes, all of the time or never.
Previously students believed that an open sentence is true with only one right number filling its place.
They need to realize that they cannot immediately figure out the type of sentence just by looking at it and that sometimes there is one solution and sometimes there is more than one solution.
plato.acadiau.ca /Courses/educ/Reid/4173/CurrWeb/5-B7.html   (459 words)

  
 46glossN
A number sentence that shows how the parts of a number story are related; for example: 5 + 8 = 13; 27 — 11 = 16; 3 * 30 = 90; 56/8 = 7.
A number sentence can be true (for example, 2 + 3 = 5), false (2 + 3 = 6), or neither true nor false, also called open (2 + 3 = x).
A solution of an open sentence is a value or values of the variable(s) in an open sentence for which the sentence is true.
www.auburn.wednet.edu /everydaymath/46glossary/46glossn.htm   (372 words)

  
 [No title]
The LOGICAL FORM of a sentence (or utterance) is a formal representation of its logical structure; that is, of the structure which is relevant to specifying its logical role and properties.
Logical analysis, that is, the specification of logical forms for sentences of a language, presumes that some distinction is to be made between the grammatical form of sentences and their logical form.
This led to the view that as far as natural languages were concerned logical analysis was a matter of rendering sentences of the language in some antecedently defined logical (or formal) language, where the relation between the sentences in the languages is to be specified by some sort of contextual definition or rules of translation.
kleene.ss.uci.edu /~rmay/LogicalForm.html   (1317 words)

  
 Terry's TMG Tips - Sentence Structures
Sentence Structures are templates that control how the data in the various fields in tags – names, dates, place information, or the text of memos – will be assembled into finished text when narrative reports are generated.
It is probably wise to keep the impulse to change sentences locally under some control until one gets a sense of the type of output he or she prefers, and becomes somewhat familiar with how Sentence Structures work.
Note that when you are editing Sentences for Witnesses locally, each Witness in a Tag has his or her own Sentence, so you can customize the Sentences specifically for each Witness if you like.
tmg.reigelridge.com /Sentences.htm   (2647 words)

  
 CNN - U.N. war crimes tribunal to sentence ex-Rwandan leader - September 4, 1998
Jean Kambanda, the highest-ranking former political leader in the custody of the Rwandan war crimes tribunal, was hoping for leniency during his sentencing.
The defense asked for a sentence of two years or nothing at all on Thursday for Kambanda, the first ever to plead guilty to genocide.
Life imprisonment is the maximum sentence open to the U.N. tribunal.
www.cnn.com /WORLD/africa/9809/04/rwanda.sentence.01/index.html   (815 words)

  
 4-9-Overview
Sometimes you can easily figure out the solution to an open sentence.
Which sentence below is an open sentence?Sometimes you can easily figure out the solution to an open sentence.
y + 3 = 16*a sentence with a + or - signa sentence with an equal signa sentence with grouping symbolsa sentence with the word "equate" in it
home.columbus.rr.com /trapeze4me/math/4-9-Overview.html   (357 words)

  
 [No title]
If the sentence is true press the "k" key with your right hand and if the sentence is false press the "d" key with your left hand.
These data are typically interpreted as implying that the subjects had converted the study sentences into some form that was the same whether they had been active or passive.
You can test your passive parser by calling study-sentence with some passive sentence like the third sentence in study-set: (study-sentence (third study-set) 5) The productions that you started with will parse active sentences whether they are presented as study sentences or test sentences and your extension to passives should do the same.
act.psy.cmu.edu /85-412/assignment4/unit4.doc   (1559 words)

  
 quantifiers.nb
Only when the variable is specified does the open sentence become a proposition.
The set of all values from the universe of discourse that make the open sentence true is called the truth set of the predicate.
We can also state that for all instances of the variable the open sentence is true.
www.sas.org /E-Bulletin/2002-11-08/mathCorner/body.html   (666 words)

  
 Gottlob Frege (Stanford Encyclopedia of Philosophy)
The sentence ‘John is happy’ (‘H(j)’) is thereby analyzed as: the object denoted by ‘John’ falls under the concept signified by ‘() is happy’.
Thus, whereas ‘3<2’ is a sentence, ‘3open sentence; and whereas ‘Hj’ is a formal sentence that might be used to represent ‘John is happy’, the expression ‘Hx’ is an open formula which might be rendered ‘x is happy’ in natural language.
The sense and denotation of the names are basic; but sense and denotation of the sentence as a whole can be described in terms of the sense and denotation of the names and the way in which those words are arranged in the sentence alongside the expression ‘loves’.
plato.stanford.edu /entries/frege   (10305 words)

  
 Conditional truth conditions and open sentences
In assigning truth-conditions to indexical utterances the free variables in these open sentences are bound by quantifiers of the antecedent of the T-sentence.
For this reason, formal representations of sentences involving demonstrative constructions are open sentences.
The conditional view of the truth conditions for indexical sentences locates the knowledge someone must have for understanding an indexical utterance not in the T-sentence itself, but in the condition prefixed to the T-sentence.
csli-publications.stanford.edu /understanding/node13.html   (2011 words)

  
 SELLARS-HARMAN CORRESPONDENCE
Thus, if satisfaction were, indeed, a relation between open sentences and objects (more accurately, sequences of objects), we would, indeed, have been shown that the concept of truth is at bottom the concept of a relation between language and the world.
The truth of basic sentences, however, involves, indeed is grounded in, the existence of a relation of picturing between tokens of the sentences and the objects to which they refer.
This prompts fact-theorists to try to explain the truth of all sentences in terms of the truth of the simplest and hence, in particular, to interpret quantification as mere shorthand for conjunctions or alternations (perhaps infinite in length) of the simplest sentences.
www.ditext.com /sellars/sh-corr.html   (10899 words)

  
 Man Convicted In Iraqi Prison Abuse Gets 10 Year Sentence - Assata Speaks - Hands Off Assata - Let's Get Free - ...
Graner did not testify during his trial, but during the sentencing phase Saturday he took the witness stand to repeat the defense claim that the jury clearly rejected: that he had been ordered by intelligence agents at Abu Ghraib to abuse the prisoners to make them easier to interrogate.
Holley, the co-prosecutor, said in his final statement that Graner was a disgrace to the military and urged the 10 jurors to send him to prison for the maximum sentence.
Irma Graner, testifying in the sentencing phase, described her son as a kind and gentle man who faithfully served his country.
www.assatashakur.org /forum/showthread.php?t=2831   (1209 words)

  
 open book: Front and Center
For musicians, this is a key passage in SC and there are a number of interesting issues to consider.
So this sentence doesn't say that Gregorian chant is "rather well-suited" to the Roman liturgy, but specially suited, i.e.
Now, it's the second sentence that has to do with what may or may not be admitted as sacred music if it's not possible to give chant its proper, pre-eminent place.
amywelborn.typepad.com /openbook/2006/08/front_and_cente.html   (1621 words)

  
 Open Sentences (via CobWeb/3.1 planetlab2.cs.virginia.edu)   (Site not responding. Last check: 2007-10-20)
If the partners switch roles once, after a series of sentences, invite A to convey without speaking his appreciation to B for B's supportive listening, and invite B to express - again nonverbally - her respect for A's concerns and his courage in sharing in them.
For the completion of each open sentence allow a minute or two - or longer, if the momentum is strong.
Here is a sample series of open sentences that we have used a great deal.
www.sevmedia.net.cob-web.org:8888 /clients/gt/Main/Exercises/opensent.html   (660 words)

  
 Open Sentence Dissertation Help, Write a Dissertation on Open Sentence Thesis
Since 1998, our Open Sentence experts have helped master, doctoral, and post-graduate students worldwide by providing the most comprehensive research service on the Internet for Open Sentence studies and coursework.
Our Open Sentence researchers are highly-educated specialists with impeccable research and writing skills who have vast experience in preparing doctoral-level research materials.
Open Sentences Dissertation Copyright © 1999-2006 www.phd-dissertations.com All rights reserved.
www.phd-dissertations.com /topic/open_sentence_dissertation_thesis.html   (795 words)

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