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Informal
Formal, formality, informal or informality imply the complying with, or not complying with, some set of requirements (forms, in Ancient Greek). They may refer to: Dress code and events * Formal wear, attire for formal events * Semi-formal attire, attire for semi-formal events * Informal attire, more controlled attire than casual but less than formal * Formal (university), official university dinner, ball or other event * School formal, official school dinner, ball or other event Logic and mathematics * Formal logic, or mathematical logic ** Informal logic, the complement, whose definition and scope is contentious * Formal fallacy, reasoning of invalid structure ** Informal fallacy, the complement * Informal mathematics, also called naïve mathematics *Formal cause, Aristotle's intrinsic, determining cause *Formal power series, a generalization of power series without requiring convergence, used in combinatorics * Formal calculation, a calculation which is systematic, but wit ...
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Informal Logic
Informal logic encompasses the principles of logic and logical thought outside of a formal setting (characterized by the usage of particular statements). However, the precise definition of "informal logic" is a matter of some dispute. Ralph H. Johnson and J. Anthony Blair define informal logic as "a branch of logic whose task is to develop non-formal standards, criteria, procedures for the analysis, interpretation, evaluation, criticism and construction of argumentation."Johnson, Ralph H., and Blair, J. Anthony (1987), "The Current State of Informal Logic", ''Informal Logic'', 9(2–3), 147–151. Johnson & Blair added "... in everyday discourse" but in (2000), modified their definition, and broadened the focus now to include the sorts of argument that occurs not just in everyday discourse but also disciplined inquiry—what Weinstein (1990) calls "stylized discourse." This definition reflects what had been implicit in their practice and what others were doing in their informal ...
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Formal Logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises in a topic-neutral way. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Formal logic contrasts with informal logic, which is associated with informal fallacies, critical thinking, and argumentation theory. While there is no general agreement on how formal and informal logic are to be distinguished, one prominent approach associates their difference with whether the studied arguments are expressed in formal or informal languages. Logic plays a central role in multiple fields, such as philosophy, mathematics, computer science, and linguistics. Logic studies arguments, which consist of a set of premises together with a conclusion. Premises and conclusions are usu ...
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T–V Distinction
The T–V distinction is the contextual use of different pronouns that exists in some languages and serves to convey formality or familiarity. Its name comes from the Latin pronouns '' tu'' and '' vos''. The distinction takes a number of forms and indicates varying levels of politeness, familiarity, courtesy, age or even insult toward the addressee. The field that studies and describes this phenomenon is sociolinguistics. Many languages lack this type of distinction, instead relying on other morphological or discourse features to convey formality. English historically contained the distinction, using the pronouns '' thou'' and ''you'', but the familiar ''thou'' largely disappeared from the era of Early Modern English onward, with the exception of a few dialects. Additionally, British commoners historically spoke to nobility and royalty using the third person rather than the second person, a practice that has fallen out of favour. English speakers today often employ semantic a ...
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Informal Fallacy
Informal fallacies are a type of incorrect argument in natural language. The source of the error is not just due to the ''form'' of the argument, as is the case for formal fallacies, but can also be due to their ''content'' and ''context''. Fallacies, despite being incorrect, usually ''appear'' to be correct and thereby can seduce people into accepting and using them. These misleading appearances are often connected to various aspects of natural language, such as ambiguous or vague expressions, or the assumption of implicit premises instead of making them explicit. Traditionally, a great number of informal fallacies have been identified, including the fallacy of equivocation, the fallacy of amphiboly, the fallacies of composition and division, the false dilemma, the fallacy of begging the question, the ad hominem fallacy and the appeal to ignorance. There is no general agreement as to how the various fallacies are to be grouped into categories. One approach sometimes fou ...
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Naive Set Theory
Naive set theory is any of several theories of sets used in the discussion of the foundations of mathematics. Unlike axiomatic set theories, which are defined using formal logic, naive set theory is defined informally, in natural language. It describes the aspects of mathematical sets familiar in discrete mathematics (for example Venn diagrams and symbolic reasoning about their Boolean algebra), and suffices for the everyday use of set theory concepts in contemporary mathematics. Sets are of great importance in mathematics; in modern formal treatments, most mathematical objects (numbers, relations, functions, etc.) are defined in terms of sets. Naive set theory suffices for many purposes, while also serving as a stepping-stone towards more formal treatments. Method A ''naive theory'' in the sense of "naive set theory" is a non-formalized theory, that is, a theory that uses natural language to describe sets and operations on sets. The words ''and'', ''or'', ''if ... then'' ...
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Formal Fallacy
In philosophy, a formal fallacy, deductive fallacy, logical fallacy or non sequitur (; Latin for " tdoes not follow") is a pattern of reasoning rendered invalid by a flaw in its logical structure that can neatly be expressed in a standard logic system, for example propositional logic.Harry J. Gensler, ''The A to Z of Logic'' (2010) p. 74. Rowman & Littlefield, It is defined as a deductive argument that is invalid. The argument itself could have true premises, but still have a false conclusion. Thus, a formal fallacy is a fallacy where deduction goes wrong, and is no longer a logical process. This may not affect the truth of the conclusion, since validity and truth are separate in formal logic. While a logical argument is a non sequitur if, and only if, it is invalid, the term "non sequitur" typically refers to those types of invalid arguments which do not constitute formal fallacies covered by particular terms (e.g., affirming the consequent). In other words, in practice, "''non ...
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Informal Attire
Informal wear or undress, also called business wear, corporate/office wear, tenue de ville or dress clothes, is a Western dress code for clothing defined by a business suit for men, and cocktail dress or pant suit for women. On the scale of formality, it is considered less formal than semi-formal wear but more formal than casual wear. Informal or undress should not be confused with casual wear such as business casual or smart casual; most situations calling for “informal wear” will usually tolerate casual dress to varying extents. The suit originated as leisure wear in the late 19th century but eventually replaced the frock coat as everyday wear in the city. After World War I, the suit was established as informal daily wear. Hats, such as fedora or bowler hats, are sometimes worn with informal wear. Informal wear is commonly applied for office use in professions like politics, academia, law and finance, business, as well as certain events such as job interviews in oth ...
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School Formal
A promenade dance, commonly called a prom, is a dance party for high school students. It may be offered in semi-formal black tie or informal suit for boys, and evening gowns for girls. This event is typically held near the end of the school year. There may be individual junior (11th grade) and senior (12th grade) proms or they may be combined. At a prom, a "prom king" and a "prom queen" may be revealed. These are honorary titles awarded to students elected in a school-wide vote prior to the prom. Other students may be honored with inclusion in a ''prom court''. The selection method for a prom court is similar to that of homecoming queen/princess, king/prince, and court. Inclusion in a prom court may be a reflection of popularity of those students elected and their level of participation in school activities, such as clubs or sports. The prom queen and prom king may be given crowns to wear. Members of the prom court may be given sashes to wear and photographed together. Simila ...
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Informal Mathematics
Informal mathematics, also called naïve mathematics, has historically been the predominant form of mathematics at most times and in most cultures, and is the subject of modern ethno-cultural studies of mathematics. The philosopher Imre Lakatos in his ''Proofs and Refutations'' aimed to sharpen the formulation of informal mathematics, by reconstructing its role in nineteenth century mathematical debates and concept formation, opposing the predominant assumptions of mathematical formalism.Imre Lakatos, ''Proofs and Refutations'' (1976), especially the Introduction. Informality may not discern between statements given by '' inductive reasoning'' (as in approximations which are deemed "correct" merely because they are useful), and statements derived by '' deductive reasoning''. Terminology ''Informal mathematics'' means any informal mathematical practices, as used in everyday life, or by aboriginal or ancient peoples, without historical or geographical limitation. Modern mathemat ...
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Formal Calculation
Formal, formality, informal or informality imply the complying with, or not complying with, some set of requirements (forms, in Ancient Greek). They may refer to: Dress code and events * Formal wear, attire for formal events * Semi-formal attire, attire for semi-formal events * Informal attire, more controlled attire than casual but less than formal * Formal (university), official university dinner, ball or other event * School formal, official school dinner, ball or other event Logic and mathematics * Formal logic, or mathematical logic ** Informal logic, the complement, whose definition and scope is contentious * Formal fallacy, reasoning of invalid structure ** Informal fallacy, the complement * Informal mathematics, also called naïve mathematics *Formal cause, Aristotle's intrinsic, determining cause *Formal power series, a generalization of power series without requiring convergence, used in combinatorics * Formal calculation, a calculation which is systematic, but wi ...
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Formality
A formality is an established procedure or set of specific behaviors and utterances, conceptually similar to a ritual although typically secular and less involved. A formality may be as simple as a handshake upon making new acquaintances in Western culture to the carefully defined procedure of bows, handshakes, formal greetings, and business card exchanges that may mark two businessmen being introduced in Japan. In legal and diplomatic circles, formalities include such matters as greeting an arriving head of state with the appropriate national anthem. Cultures and groups within cultures often have varying degrees of formality which can often prove a source of frustration or unintentional insult when people of different expectations or preferences interact. Those from relatively informal backgrounds may find formality to be empty and hypocritical, or unnecessarily demanding. Those from relatively formal backgrounds may find informal cultures hard to deal with, as their carefully re ...
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Formal Wear
Formal wear or full dress is the Western dress code category applicable for the most formal occasions, such as weddings, christenings, confirmations, funerals, Easter and Christmas traditions, in addition to certain state dinners, audiences, balls, and horse racing events. Formal wear is traditionally divided into formal day and evening wear, implying morning dress ( morning coat) before 6 p.m., and white tie ( dress coat) after 6 p.m. Generally permitted other alternatives, though, are the most formal versions of ceremonial dresses (including court dresses, diplomatic uniforms and academic dresses), full dress uniforms, religious clothing, national costumes, and most rarely frock coats (which preceded morning coat as default formal day wear 1820s-1920s). In addition, formal wear is often instructed to be worn with official full size orders and medals. The protocol indicating particularly men's traditional formal wear has remained virtually unchanged since the ...
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