wiktionary proof Note Prove and Proving both redirect here. Proof may refer to Proof truth , sufficient evidence or argument for the truth of a proposition Formal proof Mathematical proofProof theory , a branch of mathematical logic that represents proofs as formal mathematical objects Evidence , information ... or a legal proof Alcoholic proof , a measure of an alcoholic drink s strength Artist s proof , a single print taken during the printmaking process Galley proof , a preliminary version of a publication Prepress proofing Prepress proof , a facsimile of press artwork for job verification Proof ... a yeast leavened dough rises, also called proving In entertainment Proof TV series Proof TV series , an Irish TV drama thriller Proof 1991 film Proof 1991 film , an Australian film by Jocelyn Moorhouse Proof play Proof play , a play by David Auburn Proof 2005 film Proof 2005 film , a film by John Madden, based on the play Proof rapper 1973 2006 , American rapper and member of D12 Proof comics Proof comics , a comic series from Image Comics Proof , a 1942 hard SF short story by Hal Clement Proof , a song by Coldplay from Speed of Sound song Speed of Sound Proof I Am Kloot song Proof I Am Kloot song , a song by I Am Kloot from their eponymous second album Proof , a song by Paul Simon from The Rhythm of the Saints Proof , a song by Happy Rhodes from Many Worlds Are Born Tonight Proof , a song by angela band angela Proof , a song by Mell See also Proofing disambiguation Argument Theory of justification ... of proof Philosophic burden of proofProof complexity Proof procedure Provability logic A recursively ... procedure Proof of concept Proof test , for a firearm disambig bn cs D kaz da Bevis de Proof et Proof es Prueba eo Pruvo fa ko id Pembuktian it Prova lv Pier d jums hu Bizony t s egy rtelm s t lap nl Proof ja no Bevis pt Prova desambigua o ro Dovad ru simple Proof sk D kaz sl Dokaz sh Dokaz fi Todistus th ... more details
Burden of proof may refer to Legal burden of proof Philosophic burden of proof Other The Burden of Proof , a 1990 novel by Scott Turow The Burden of Proof film The Burden of Proof film , a 1992 film based on the above novel Burden of Proof CSI episode Burden of Proof CSI episode disambig id Beban pembuktian ... more details
Proof film may refer to Proof 1991 film Proof 1991 film , an Australian film directed by Jocelyn Moorhouse, starring Hugo Weaving, Genevi ve Picot, and Russell Crowe Proof 2005 film Proof 2005 film , a film directed by John Madden, starring Anthony Hopkins, Gwyneth Paltrow, and Jake Gyllenhaal disambig ... more details
Unreferenced date June 2008 In logic , and in particular proof theory , a proof procedure for a given logical system logic is a systematic method for producing proofs in some proof calculus of provable statements. There are several types of proof calculi. The most popular are natural deduction , sequent calculus sequent calculi i.e., Gentzen type systems , Hilbert system s, and semantic tableau x or trees. A given proof procedure will target a specific proof calculus, but can often be reformulated so as to produce proofs in other proof styles. A proof procedure for a logic is complete if it produces a proof for each provable statement. The theorems of logical systems are typically recursively enumerable , which implies the existence of a complete but extremely inefficient proof procedure however, a proof procedure is only of interest if it is reasonably efficient. Faced with an unprovable statement, a complete proof procedure may sometimes succeed in detecting and signalling its unprovability. In the general case, where provability is a semidecidable property, this is not possible, and instead the procedure will diverge not terminate . See also Automated theorem proving Proof complexity Proof tableaux Deductive system Proof truth Category Logic Category Proof theory logic stub ... more details
G del s proof may refer to G del s incompleteness theorems G del s ontological proof disambig Long comment to avoid being listed on short pages ... more details
Interactive proof can refer to Interactive proof system Interactive theorem proving disambig Long comment to avoid being listed on short pages ... more details
A proof banknote is one that is printed to test the printing plate s to see if it is suitable or not for putting into full production. A reason why a proof banknote may be rejected is the colour is not suitable. Another reason why a proof banknote may be rejected is due to the design itself being unsuitable. See also Specimen banknote Category Banknotes ... more details
In proof theory , a branch of mathematical logic , proof mining or unwinding is a research program that analyzes formalized proofs, especially in mathematical analysis analysis , to obtain explicit bounds or rate of convergence rates of convergence from proofs that, when expressed in natural language, appear to be nonconstructive proof nonconstructive . ref cite book title Applied Proof Theory Proof Interpretations and Their Use in Mathematics author Ulrich Kohlenbach publisher Springer Verlag, Berlin year 2008 pages 1&ndash 536 ref This research has led to improved results in analysis obtained from the analysis of classical proofs. References references Ulrich Kohlenbach and Paulo Oliva, Proof Mining A systematic way of analysing proofs in mathematics , Proc. Steklov Inst. Math , 242 136&ndash 164, 2003 Paulo Oliva, Proof Mining in Subsystems of Analysis , BRICS PhD thesis http citeseer.ist.psu.edu oliva03proof.html citeseer mathlogic stub Category Proof theory ... more details
In mathematical analysis , an analytical proof is a proof of a theorem in analysis that only makes use of methods from analysis, and which does not make use of results from geometry. The term was first used by Bernard Bolzano , who first provided a non analytic proof of his intermediate value theorem and then, several years later provided proof of the theorem which was free from intuitions concerning lines crossing each other at a point and so he felt happy calling analytic Bolzano 1817 . Bolzano s philosophical work encouraged a more abstract reading of when a demonstration could be regarded as analytic, where a proof is analytic if it does not go beyond its subject matter Sebastik 2007 . In proof theory , an analytical proof has come to mean a proof whose structure is simple in a special way, due to conditions on the kind of inferences that ensure none of them go beyond what is contained in the assumptions and what is demonstrated. Structural proof theory In proof theory, the notion of analytic proof provides the fundamental concept that brings out the similarities between a number of essentially distinct proof calculus proof calculi , so defining the subfield of structural proof theory . There is no uncontroversial general definition of analytic proof, but for several proof calculi ... of side formulae of the cut rule a proof that contains an analytic cut is by virtue of that rule not analytic. Furthermore, structural proof theories that are not analogous to Gentzen s theories have other notions of analytic proof. For example, the calculus of structures organises its inference rules into pairs, called the up fragment and the down fragment, and an analytic proof is one that only contains the down fragment. See also Proof theoretic semantics References Bernard Bolzano 1817 . Purely analytic proof of the theorem that between any two values which give results of opposite ... Proof theory ... more details
Unreferenced stub auto yes date December 2009 Proof of insurance POI is any type of documentation that a person can provide to another individual proving that the person has valid insurance with an insurance company . The most common form of a POI is a paper card provided by the insurance company listing policy information and effective dates. Many states require that a person carry proof of insurance in their automobiles or on their person while driving. If a person is questioned by a law enforcement official, they must provide proof of insurance. A citation is generally issued if the person cannot provide such documentation. See also no fault insurance External links http sites.google.com site faqoffinance proof of insurance Proof of Car Insurance 2 Ways to Get Your Proof Quickly DEFAULTSORT Proof Of Insurance Category Insurance terms Category Vehicle insurance Law stub ... more details
Infobox Single Name Proof No Vain Cover Proof no vain.jpg Artist Mell from Album B side Released May 30, 2007 Format Maxi single Maxi Recorded Genre J Pop Length 23 06 Label Geneon Writer Producer I ve Sound Certification Last single Red Fraction br 2006 This single Proof No Vain br 2007 Next single Virgin s High Kicks br 2007 Proof No Vain is Mell s second single under Geneon Geneon Entertainment . Proof was used as the first ending theme for the anime series Hayate the Combat Butler Hayate no Gotoku . The single reached 18 in the Oricon charts and sold a total of 13,000 copies. ref cite web title MELL ORICON STYLE url http www.oricon.co.jp music release d 708238 1 accessdate 2007 12 14 language Japanese ref Track listing Proof 5 33 Composition Kazuya Takase Arrangement Kazuya Takase Lyrics Mell No Vain 6 01 Composition Kazuya Takase Arrangement Kazuya Takase Lyrics Mell Proof instrumental 5 33 No Vain instrumental 5 59 References references Category 2007 singles Category Mell songs Mell 2000s Japan single stub es Proof no vain ja Proof no vain ... more details
In proof theory , proof nets are a geometrical method of representing proofs that eliminates two forms of bureaucracy that differentiates proofs A irrelevant syntactical features of regular proof calculi such as the natural deduction calculus and the sequent calculus , and B the order of rules applied in a derivation. In this way, the formal properties of proof identity correspond more closely to the intuitively desirable properties. Proof nets were introduced by Jean Yves Girard . See also Linear logic Ludics Geometry of interaction Coherent space Deep inference Interaction nets References No footnotes date November 2009 Proofs and Types . Girard J Y, Lafont Y, and Taylor P. Cambridge Press, 1989. An electronic version is online at http www.paultaylor.eu stable Proofs Types.html . Category Proof theory logic stub ... more details
A proof of purchase also called a brand seal by Nabisco is typically some portion of the package of consumer goods, and is defined by the product s manufacturer. Most commonly, the proof of purchase is defined as the Universal Product Code UPC symbol on the package, but can be some other portion of the package such as a boxtop . During the Old Time Radio period, radio premium s usually required a proof of purchase from the sponsor s product in order to acquire them. The proof of purchase is often required for sales promotion s and manufacturer rebate marketing rebate s as evidence that the customer purchased the product. When multiple purchases are required to redeem these rewards, it is referred to as a premium incentive . The term proof of purchase may also refer to an invoice or bill. Receipts can also be counted as Proof of Purchase as long as it shows how much tax has been collected. See also Donald Duncan premium incentive inventor Reflist Category Promotion and marketing communications Category Packaging marketing stub it Prova d acquisto ... more details
Half proof semiplena probatio , was a concept of medieval Roman law , describing a level of evidence between mere suspicion and the full Evidence law proof needed to convict someone of a crime. The concept was introduced by the Glossator s of the 1190s such as Azo jurist Azo , who gives such examples as a single witness or private documents. ref J. Franklin, The Science of Conjecture Evidence and Probability Before Pascal , Baltimore, 2001, 18 19. ref In cases where there was half proof against a defendant, he might be allowed to take an oath as to his innocence, or he might be sent for torture to extract further evidence that could complete the Legal burden of proof burden of proof . ref Franklin, 26 7, 59. ref Matthew Hale jurist Sir Matthew Hale , the leading late seventeenth century English jurist, wrote The evidence at Law which taken singly or apart makes but an imperfect proof, semiplena probatio , yet in conjunction with others grows to a full proof, like Silurus his twigs, that were easily broken apart, but in conjunction or union were not to be broken. ref B. Shapiro, Probability and Certainty in Seventeenth Century England , Princeton, 1893, 180. ref However, the concept never became firmly established in English law . In later times, half proof was mentioned in nineteenth century Scots law ref J. Erskine, An Institute of the Law of Scotland , ed. J. Ivory, Edinburgh, 1828, II 965, 972 ref and in the 1917 Catholic Code of Canon Law . ref Franklin, 369. ref References reflist External links http www.law dictionary.org HALF PROOF 2C semiplena probatio 2C civil law.asp?q HALF PROOF 2C semiplena probatio 2C civil law Law Dictionary entry, Half proof DEFAULTSORT Half Proof Category Criminal law Category Evidence law Category Medieval law law term stub ... more details
In computer science , proof complexity is a measure of efficiency of automated theorem proving methods ... logic are the most analyzed. The two main issues considered in proof complexity are whether a proof method can produce a polynomial proof of every inconsistent formula, and whether the proofs ... of proofs Different propositional proof system for theorem proving in propositional logic, such as the sequent ... , etc. produce different proofs when applied to the same formula. Proof complexity measures the efficiency of a method in terms of the size of the proofs it produces. Two points make the study of proof complexity non trivial the size of a proof depends on the formula that is to be proved inconsistent proof methods are generally families of algorithms, as some of their steps are not univocally specified ... at each step, the algorithm has to choose one these choices affect the proof length. The first point is taken into account by comparing the size of a proof of a formula with the size of the formula ... proof size formula size ratio means that the proof is of size similar to that of the formula ... point is taken into account by considering, for each formula, the shortest possible proof the considered ... produce a proof of size polynomial in the size of the formula. If such a method exists, then NP complexity ... are always superpolynomial has been proved. For other methods, it is an open question. Proof size comparison A second question about proof complexity is whether a method is more efficient than another. Since the proof size depends on the formula, it is possible that one method can produce a short proof of a formula and only long proofs of another formula, while a second method can have exactly ... two proof methods, two outcomes are possible for every proof of a formula produced using the first method, there is a proof of comparable size of the same formula produced by the second method there exists a formula such that the first method can produce a short proof while all proofs obtained by the second ... more details
jim proofs.html Proof in Mathematics An Introduction publisher Kew Books location Sydney isbn 0646545094 coauthors A. Daoud p. 50 . ref References Reflist See also Proof by contradiction Reductio ad absurdum Mathematical Proof Wikibooks 1 Mathematical Proof 2 Methods of ProofProof by Contrapositive 3 Proof by Contrapositive DEFAULTSORT Proof By Contrapositive Category Proofs Category Rules ... more details
about the type of mathematical proof the method of calculating limits Method of exhaustion unreferenced date February 2008 Proof by exhaustion , also known as proof by cases , perfect induction , or the brute force method , is a method of mathematical proof in which the statement to be proved is split into a finite number of cases, and each case is proved separately. A proof by exhaustion contains two stages A proof that the cases are exhaustive i.e., that each instance of the statement to be proved matches the conditions of at least one of the cases. A proof of each of the cases. In the Curry&ndash Howard isomorphism , proof by exhaustion and case analysis are related to ML style pattern matching . Example To prove that every integer that is a Cube arithmetic perfect cube is either a multiple of 9, or 1 more, or 1 less than a multiple of 9. Proof br Each cube number is the cube of some integer n . This integer n is either a multiple of 3, or 1 more or 1 less than a multiple of 3. So these 3 cases are exhaustive Case 1 If n 3 p , then n sup 3 sup 27 p sup 3 sup , which is a multiple of 9 ... limit to the number of cases allowed in a proof by exhaustion. Sometimes there are only ... of possible positions in the game tree of that problem. The first proof of the four colour theorem was a proof by exhaustion with 1,936 cases. This proof was controversial because the majority of the cases were checked by a computer program, not by hand. The shortest known proof of the four colour ... of cases. Such proofs feel inelegant to them. A proof with a large number of cases leaves an impression .... Other types of proofs such as proof by induction mathematical induction are considered more elegant. However, there are some important theorems for which no other method of proof has been found, such as The proof that there is no finite projective plane of order 10. The classification of finite simple groups . The Kepler conjecture . See also Case analysis Computer assisted proof Category ... more details
See Statistics Statistical test Data analysis Bayesian analysis Mathematical proof . The term statistical proof has several uses, both technically and colloquially. Data analysis and statistics &mdash When mathematical statistics is used to provide a mathematical proof of a proposition regarding the probability of data under specified assumptions and hypotheses, this is a statistical proof . Examples ... that there is statistical proof of one hypothesis. Since the assumptions of mathematical statistics ..., as in the medical, natural, and social sciences . In that case, the term statistical proof is still ... the product of gut feelings but is supported by statistical proof both from the providers themselves ... and Protection ref ref I don t have any statistical proof of this, but I firmly believe that cheating ... Newspaper ref ref Based on clear statistical proof about which combination of design works most successfully ..., not certain, this usage of the term proof no longer refers to a mathematical proof, even if extensive mathematical tools and methods are employed. Bayesian analysis &mdash A statistical proof in Bayesian analysis is a mathematical proof primarily employing Bayes theorem . The conclusion is a statement ... a year or two to have the statistical proof needed to confirm its presence http www.channel4.com ... proof of the existence of a predicted new particle, or in a data in a cosmological experiment ... 2008 Exploratory data analysis &mdash Statistical proof may refer to a scatter plot or product ... uses &mdash Statistical proof may colloquially refer to raw data where the data makes the conclusion ... proof http nflblogs.profootballweekly.com NFLdraft 2008 09 freeman falters.html ref Such colloquial use of statistical proof is often interchangeable with a colloquial use of mathematical proof , even though there is no formal mathematical proof at all. Citation needed date September 2008 For example ... appear from a distance to be points, is statistical proof of the existence of a gravitational force ... more details
A proof test is a test wherein a deliberately over pressured Cartridge firearms round is fired from a firearm ... is inspected after the test, and if it is found to be in sound condition, then it is marked with a proof mark to indicate that it has been proofed not proven . In many jurisdiction s a proof test and valid proof mark are required for the sale of firearms. A proof round is an ammunition assembly designed to be used in proof testing this can use a fixed Cartridge firearms cartridge , a semi fixed cartridge, or separately loaded projectile, charge and primer. A proof shot is a special projectile used in a proof round or other projectile weapons, Railgun electromagnetic guns for example. Small arms proof rounds resemble normal cartridges, though they will typically bear special markings to prevent ... use an inert solid projectile the proof shot although water, sand or iron powder filled ... use and a proof mark is added to the barrel. In the case of revolver s or other multi chamber firearms, each chamber must be proof tested before the firearm may be marked. Examination of the firearm ... of the tester. Because proof testing may or may not result in the destruction of the test specimen, it falls on the border between destructive testing and nondestructive testing . Proof marks A proof .... Since proof marks are unique and nearly universal, they are often used to identify the origins of firearms ... by large numbers of different manufacturers. Small arms proof testing A small arms proof round is loaded ... weight to give the required proofing pressure. Minimum proof testing pressures are specified by the owner ... 0.5 M1 round propellant 240 grs of WC860 , but a bullet weighing 999 grs 11 grs . The M1 proof round gives a proofing pressure of 65,000 psi, 11,000 psi 17 above the standard service pressure. Proof ... Proof Houses before it can be sold to consumers. The standard proof test consist of firing ... pressure limit for the same cartridge in its commercial version. The standard proof of pistol, revolver ... more details
Proof theory is a branch of mathematical logic that represents Mathematical proofproof s as formal mathematical .... As such, proof theory is syntax logic syntactic in nature, in contrast to model theory , which is Formal ... theory , proof theory is one of the so called four pillars of the foundations of mathematics . ref name wang E.g., Wang 1981 , pp. 3 4, and Barwise 1978 . ref Proof theory is important in philosophical logic , where the primary interest is in the idea of a proof theoretic semantics , an idea which depends upon technical ideas in structural proof theory to be feasible. History Although the formalisation ... Russell , and Richard Dedekind , the story of modern proof theory is often seen as being established ... . Kurt G del s seminal work on proof theory first advanced, then refuted this program his ... theorems showed that this is unattainable. All of this work was carried out with the proof calculi called the Hilbert system s. In parallel, the foundations of structural proof theory were being ... that has proved very important in proof theory. ref Prawitz 1965 . ref Gentzen 1934 further introduced ... proof of the consistency of Peano arithmetic . Together, the presentation of natural deduction and the sequent calculus introduced the fundamental idea of analytic proof to proof theory, Formal and informal proof This section is linked from Black Scholes and Mathematical proof Main Formal proof The informal proofs of everyday mathematical practice are unlike the formal proofs of proof theory. They are rather like high level sketches that would allow an expert to reconstruct a formal proof ... proof is too pedantic and long winded to be in common use. Formal proofs are constructed with the help ... theorem proving is generally hard. An informal proof in the mathematics literature, by contrast, requires weeks of peer review to be checked, and may still contain errors. Kinds of proof calculi The three most well known styles of proof calculi are The Hilbert system Hilbert calculi The natural ... more details
Copy edit date February 2011 Infobox musical artist Name Proof Img ProofAug05.jpg Img capt Proof in August 2005. Background solo singer Birth name DeShaun Dupree Holton Also known as Big Proof, Oil Can ... by his name Big Proof, or simply Proof , was an American rapper from Detroit, Michigan . During ... was a close childhood friend of rap superstar Eminem . In 2006, Proof was shot and killed during an altercation at a nightclub. Early career Proof first rose to national prominence as a part of the rap ... Ain t Nothing but a Number song Age Ain t Nothing But a Number . In 2000, Proof toured along with Eminem ... Records . The following year, Proof collaborated with Dogmatic on Promatic and joined Eminem s Anger Management tour in support of the release. ref name Anger Management cite web title Proof Reviews, Discography... url http www.music.com person proof 1 biography publisher Music.com date June ... 2006 04 12 ref To capitalize on the publicity from the film, Proof released a six song Extended play EP called Electric CoolAid Acid Testing . ref name Proof interview cite web title Interview with Proof url http www.murderdog.com archives proof proof.html publisher Murder Dog author David Friedman ... proof proof.html Bot retrieved archive archivedate 2006 03 26 ref Proof also had a cameo alongside ... in the credit. Solo work Proof released a solo album featuring collaborations with rappers, 50 Cent ... Distribution. Proof said that he did not produce the record with Shady Records or Aftermath because ... was originally titled Eric Clapton Jr, but Proof changed the title when he realized that Eric Clapton s son fell to his death from a 53rd story window. ref cite web title Proof Body of the Life Force url http www.allhiphop.com features ?ID 1143 publisher AllHipHop.com ref Proof bucket has said that he considered Garcia to be a genius who suffered from common character flaws. Proof has stated ... name Garcia Review cite web title Proof Searching for Jerry Garcia Review url http www.hiphopgalaxy.com ... more details
Infobox television show name Proof Positive image caption format Documentary picture format runtime 60 ... 2004 12 8 num episodes 10 website For the short story by Graham Greene Proof Positive Greene story Proof ... and Ghost Hunters . Proof Positive ran for ten episodes. The show was hosted by actress Amanda ... authentic, the show would conclude it as Proof Positive . If the evidence is determined to be a hoax, or not paranormal related, the show would conclude it as Proof Negative . If the evidence could not be verified, the show would give it a Proof Inconclusive . Only one of the segments in each episode would be given a proof positive. Before the commercial break at the end of the third segment ... proof positive by the show, it does not prove beyond a reasonable doubt that flying saucers ... in the sky, that was really there, and was not apparently faked in any way. List of Proof Positive ... James Carroll Beckwith . Deemed Proof Positive Michigan Lighthouse Ghost a mysterious light appears within an inoperable light house. Deemed Proof Negative Roswell Rods the show studies evidence ... Proof Negative Episode 102 Little Boy Ghost a family believes the spirit of a seven year old boy haunts their Georgia U.S. state Georgia home. Deemed Proof Negative Psychic Artists a psychic team draws images of deceased loved ones as evidence that they can communicate with the dead. Deemed Proof ... by a Lizard Man of Scape Ore Swamp humanoid lizard creature . Deemed Proof Negative Episode 103 Alien Abduction a man presents evidence that he has been abducted by aliens. Deemed Proof Negative Firehouse ... Proof Inconclusive Remote Viewing the show explores psychic viewing techniques once used by the CIA . Deemed Proof Positive Episode 104 Mexico UFO Sighting a family shows their videotape evidence of a strange object in the night sky. Deemed Proof Positive Haunted Brothel the show investigates a Nevada brothel where it is believed a spirit lurks in the VIP room. Deemed Proof Negative Disaster ... more details
Alcohol proof is a measure of how much alcohol ethanol is contained in an alcoholic beverage . The term ... . The UK now uses the abv standard instead of alcohol proof. In the United States , alcoholic proof ... of proof spirit , which was defined as the most dilute spirit that would sustain combustion of gunpowder . ref name scotch How was whiskey tested for proof strength? http www.dcs.ed.ac.uk home ... contained too much water and was considered to be under proof . It was found that gunpowder would not burn ... was defined to have 100 degrees proof . An alcohol content of 57.15 abv is very close to a 4 ... 7 175 100 degrees proof spirit. From this it followed that pure, 100 alcohol had 7 7 175 175 degrees proof spirit, and that rum containing 50 abv had 3.5 7 175 87.5 degrees proof spirit. To convert the percentage of abv to degrees proof spirit, it was only necessary to multiply the percentage by 1.75. The use of proof as a measure of alcohol content is now mostly historical. Today, distilled beverage .... The proof number may also be placed on the label, provided that it is close to the abv number. ref ... s used Clarke s hydrometer to measure degrees proof. Under the Hydrometer Act of 1818, the Sikes hydrometer was used to measure proof it remained in use until 1980. The Customs and Excise Act of 1952 defined spirits of proof strength i.e., proof spirits blockquote Spirits shall be deemed to be at proof if the volume of the ethyl alcohol contained therein made up to the volume of the spirits ... is done. The document does not address alcohol proof or the labeling of bottles. United States ... must state the percentage of abv. The regulation permits, but does not require, a statement of the proof ... bam chapter1.pdf ref Alcohol proof in the United States is defined as twice the percentage of alcohol by volume. Consequently, 100 proof whiskey contains 50 alcohol by volume 86 proof whiskey contains 43 alcohol. ref How does U.S. proof strength compare with British and European strengths? http ... more details
In mathematics , a proof is a convincing demonstration within the accepted standards of the field that some ... with Proof . John Wiley and Sons, 2009. Definition 3.1 page 86. ISBN 0470457937 ref Proofs are obtained .... That is, a proof must demonstrate that a statement is true in all cases, without a single exception ... lemma , especially if it is intended for use as a stepping stone in the proof of another theorem. Proofs ... of rigorous informal logic . Purely formal proof s, written in symbolic language instead of natural language, are considered in proof theory . The distinction between Proof theory Formal and informal proof formal and informal proofs has led to much examination of current and historical mathematical ... The word Proof comes from the Latin probare meaning to test . Related modern words are the English probe ... strict mathematical proof. ref name Krantz It is probable that the idea of demonstrating a conclusion ... . ref Kneale, p. 2 ref The development of mathematical proof is primarily the product of Greek mathematics ... theorem , the Elements includes a proof that the square root of two is irrational and that there are infinitely ..., division, etc. for lines. He used this method to provide a proof of the existence of irrational ... induction inductive proof for Arithmetic progression arithmetic sequences was introduced in the Al ... s triangle . Alhazen also developed the method of proof by contradiction , as the first attempt at proving ... 2008 01 23 ref Modern proof theory treats proofs as inductively defined data structures. There is no longer ... . Nature and purpose There are two different conceptions of mathematical proof. ref Buss, 1997, p. 3 ref The first is an informal proof, a rigorous natural language expression that is intended to convince ... of rigor for informal proofs will depend on the audience of the proof. In order to be considered a proof, however, the argument must be rigorous enough a vague or incomplete argument is not a proof. Informal proofs are the type of proof typically encountered in published mathematics. They are sometimes ... more details
Unreferenced date December 2009 The term judgment proof is most commonly used in tort law contexts to refer to defendant s or potential defendants who are financially insolvency insolvent . Even if a plaintiff were to secure a legal Judgment law judgment against an insolvent defendant, the defendant s lack of funds would make the satisfaction of that judgment difficult, if not impossible, to secure. In such cases plaintiffs might move for wage garnishment based on the judgment. However, if the debtor is retired or collecting social security or other social welfare this is not possible. Judgment proof is not a defense. If sued, the defendant cannot claim judgment proof as one would other affirmative defense s. Judgment proof instead refers to the inability of the judicial lien holder to obtain satisfaction of their judgment. An individual who is unidentifiable or has left the jurisdiction is often considered to be judgment proof. cn date March 2011 See also List of tort topics List of tort cases Tort reform List of basic tort law topics DEFAULTSORT Judgment Proof Category Tort law ... more details
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