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Conjunction Fallacy
The conjunction fallacy (also known as the Linda problem) is an inference from an array of particulars, in violation of the laws of probability, that a logical conjunction, conjoint set of two or more conclusions is likelier than any single member of that same set. It is a type of formal fallacy. Definition and basic example The most often-cited example of this fallacy originated with Amos Tversky and Daniel Kahneman. ''Linda is 31 years old, single, outspoken, and very bright. She majored in philosophy. As a student, she was deeply concerned with issues of discrimination and social justice, and also participated in anti-nuclear demonstrations.'' Which is more probable? # Linda is a bank teller. # Linda is a bank teller and is active in the feminist movement. The majority of those asked chose option 2. However, the probability of two events occurring together (that is, in conjunction) is always less than or equal to the probability of either one occurring alone—formally, for ...
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Logical Conjunction
In logic, mathematics and linguistics, And (\wedge) is the truth-functional operator of logical conjunction; the ''and'' of a set of operands is true if and only if ''all'' of its operands are true. The logical connective that represents this operator is typically written as \wedge or . A \land B is true if and only if A is true and B is true, otherwise it is false. An operand of a conjunction is a conjunct. Beyond logic, the term "conjunction" also refers to similar concepts in other fields: * In natural language, the denotation of expressions such as English "and". * In programming languages, the short-circuit and control structure. * In set theory, intersection. * In lattice theory, logical conjunction ( greatest lower bound). * In predicate logic, universal quantification. Notation And is usually denoted by an infix operator: in mathematics and logic, it is denoted by \wedge, or ; in electronics, ; and in programming languages, &, &&, or and. In Jan ...
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Poland
Poland, officially the Republic of Poland, is a country in Central Europe. It is divided into 16 administrative provinces called voivodeships, covering an area of . Poland has a population of over 38 million and is the fifth-most populous member state of the European Union. Warsaw is the nation's capital and largest metropolis. Other major cities include Kraków, Wrocław, Łódź, Poznań, Gdańsk, and Szczecin. Poland has a temperate transitional climate and its territory traverses the Central European Plain, extending from Baltic Sea in the north to Sudeten and Carpathian Mountains in the south. The longest Polish river is the Vistula, and Poland's highest point is Mount Rysy, situated in the Tatra mountain range of the Carpathians. The country is bordered by Lithuania and Russia to the northeast, Belarus and Ukraine to the east, Slovakia and the Czech Republic to the south, and Germany to the west. It also shares maritime boundaries with Denmark and Sweden. ...
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Venn Diagram
A Venn diagram is a widely used diagram style that shows the logical relation between set (mathematics), sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships in probability, logic, statistics, linguistics and computer science. A Venn diagram uses simple closed curves drawn on a plane to represent sets. Very often, these curves are circles or ellipses. Similar ideas had been proposed before Venn. Christian Weise in 1712 (''Nucleus Logicoe Wiesianoe'') and Leonhard Euler (''Letters to a German Princess'') in 1768, for instance, came up with similar ideas. The idea was popularised by Venn in ''Symbolic Logic'', Chapter V "Diagrammatic Representation", 1881. Details A Venn diagram may also be called a ''set diagram'' or ''logic diagram''. It is a diagram that shows ''all'' possible logical relations between a finite collection of different sets. These diagrams depict element ...
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Frequentism
Frequentist probability or frequentism is an interpretation of probability; it defines an event's probability as the limit of its relative frequency in many trials (the long-run probability). Probabilities can be found (in principle) by a repeatable objective process (and are thus ideally devoid of opinion). The continued use of frequentist methods in scientific inference, however, has been called into question. The development of the frequentist account was motivated by the problems and paradoxes of the previously dominant viewpoint, the classical interpretation. In the classical interpretation, probability was defined in terms of the principle of indifference, based on the natural symmetry of a problem, so, ''e.g.'' the probabilities of dice games arise from the natural symmetric 6-sidedness of the cube. This classical interpretation stumbled at any statistical problem that has no natural symmetry for reasoning. Definition In the frequentist interpretation, probabilities are ...
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Polysemy
Polysemy ( or ; ) is the capacity for a sign (e.g. a symbol, a morpheme, a word, or a phrase) to have multiple related meanings. For example, a word can have several word senses. Polysemy is distinct from ''monosemy'', where a word has a single meaning. Polysemy is distinct from homonymy—or homophony—which is an accidental similarity between two or more words (such as ''bear'' the animal, and the verb ''bear''); whereas homonymy is a mere linguistic coincidence, polysemy is not. In discerning whether a given set of meanings represent polysemy or homonymy, it is often necessary to look at the history of the word to see whether the two meanings are historically related. Dictionary writers often list polysemes (words or phrases with different, but related, senses) in the same entry (that is, under the same headword) and enter homonyms as separate headwords (usually with a numbering convention such as ''¹bear'' and ''²bear''). Polysemes A polyseme is a word or phrase wit ...
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Conversational Maxim
In social science generally and linguistics specifically, the cooperative principle describes how people achieve effective conversational communication in common social situations—that is, how listeners and speakers act cooperatively and mutually accept one another to be understood in a particular way. The philosopher of language Paul Grice introduced the concept in his pragmatic theory, argued such: Accordingly, the cooperative principle is divided into Grice's four maxims of conversation, called the Gricean maxims—quantity, quality, relation, and manner. These four maxims describe specific rational principles observed by people who follow the cooperative principle in pursuit of effective communication. Applying the Gricean maxims is a way to explain the link between utterances and what is understood from them. Though phrased as a prescriptive command, the principle is intended as a description of how people normally behave in conversation. Lesley Jeffries and Daniel McIntyr ...
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Framing Effect
In the social sciences, framing comprises a set of concepts and theoretical perspectives on how individuals, groups, and societies organize, perceive, and communicate about reality. Framing can manifest in thought or interpersonal communication. ''Frames in thought'' consist of the mental representations, interpretations, and simplifications of reality. ''Frames in communication'' consist of the communication of frames between different actors. Framing is a key component of sociology, the study of social interaction among humans. Framing is an integral part of conveying and processing data on a daily basis. Successful framing techniques can be used to reduce the ambiguity of intangible topics by contextualizing the information in such a way that recipients can connect to what they already know. In social theory, framing is a schema of interpretation, a collection of anecdotes and stereotypes, that individuals rely on to understand and respond to events. Goffman, E. (1974). F ...
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Diction
Diction ( la, dictionem (nom. ), "a saying, expression, word"), in its original meaning, is a writer's or speaker's distinctive vocabulary choices and style of expression in a poem or story.Crannell (1997) ''Glossary'', p. 406 In its common meaning, it is the distinctiveness of speech: the art of speaking so that each word is clearly heard and understood to its fullest complexity and extremity, and concerns pronunciation and tone, rather than word choice and style. This is more precisely and commonly expressed with the term enunciation or with its synonym, articulation.Crannell (1997) Part II, Speech, p. 84 Diction has multiple concerns, of which register, the adaptation of style and formality to the social context, is foremost. Literary diction analysis reveals how a passage establishes tone and characterization, e.g. a preponderance of verbs relating physical movement suggests an active character, while a preponderance of verbs relating states of mind portrays an introspective ...
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Ralph Hertwig
Ralph Hertwig (born 4 November 1963, in Heilbronn, Germany) is a German psychologist whose work focuses on the psychology of human judgment and decision making. Hertwig is Director of the Center for Adaptive Rationality at the Max Planck Institute for Human Development in Berlin, Germany. He grew up with his brothers Steffen Hertwig and Michael Hertwig (parents Walter and Inge Hertwig) in Talheim, Heilbronn. Academic career Hertwig received his Ph.D. in Psychology from the University of Konstanz, Germany, in 1995. In the same year, he joined Gerd Gigerenzer’s research group at the Max Planck Institute for Psychological Research in Munich; in 1997, the group moved to the Max Planck Institute for Human Development in Berlin. In 2000, Hertwig received a fellowship from the German Research Foundation, which supported his research at Columbia University for three years. Hertwig obtained his Habilitation qualification from the Free University of Berlin in 2003, and in the same year ...
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Gerd Gigerenzer
Gerd Gigerenzer (born 3 September 1947) is a German psychologist who has studied the use of bounded rationality and heuristics in decision making. Gigerenzer is director emeritus of the Center for Adaptive Behavior and Cognition (ABC) at the Max Planck Institute for Human Development and director of the Harding Center for Risk Literacy, both in Berlin. Gigerenzer investigates how humans make inferences about their world with limited time and knowledge. He proposes that, in an uncertain world, probability theory is not sufficient; people also use smart heuristics, that is, rules of thumb. He conceptualizes rational decisions in terms of the ''adaptive toolbox'' (the repertoire of heuristics an individual or institution has) and the ability to choose a good heuristics for the task at hand. A heuristic is called ecologically rational to the degree that it is adapted to the structure of an environment. Gigerenzer argues that heuristics are not irrational or always second-best to o ...
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Clustering Illusion
The clustering illusion is the tendency to erroneously consider the inevitable "streaks" or "clusters" arising in small samples from random distributions to be non-random. The illusion is caused by a human tendency to underpredict the amount of variability likely to appear in a small sample of random or pseudorandom data. Examples Thomas Gilovich, an early author on the subject, argued that the effect occurs for different types of random dispersions, including two-dimensional data such as clusters in the locations of impact of World War II V-1 flying bombs on maps of London; or seeing patterns in stock market price fluctuations over time. Although Londoners developed specific theories about the pattern of impacts within London, a statistical analysis by R. D. Clarke originally published in 1946 showed that the impacts of V-2 rockets on London were a close fit to a random distribution. Similar biases Using this cognitive bias in causal reasoning may result in the Texas sharp ...
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The Championships, Wimbledon
The Wimbledon Championships, commonly known simply as Wimbledon, is the oldest tennis tournament in the world and is widely regarded as the most prestigious. It has been held at the All England Club in Wimbledon, London, since 1877 and is played on outdoor grass courts, with retractable roofs over the two main courts since 2019. Wimbledon is one of the four Grand Slam tennis tournaments, the others being the Australian Open, the French Open, and the US Open. Wimbledon is the only major still played on grass, the traditional tennis playing surface. Also, it is the only Grand Slam that retains a night-time curfew, though matches can now continue until 11.00 pm under the lights. The tournament traditionally takes place over two weeks in late June and early July, starting on the last Monday in June and culminating with the Ladies' and Gentlemen's Singles Finals, scheduled for the Saturday and Sunday at the end of the second week. Five major events are held each year, with addi ...
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