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Carroll Diagram
A Carroll diagram, Lewis Carroll's square, biliteral diagram or a ''two-way table'' is a diagram used for grouping things in a yes/no fashion. Numbers or objects are either categorised as 'x' (having an attribute x) or 'not x' (not having an attribute 'x'). They are named after Lewis Carroll, the pseudonym of polymath Charles Lutwidge Dodgson. Usage Although Carroll diagrams can be as simple as the first one above, the most well known types are those similar to the second one, where two attributes are shown. The 'universe' of a Carroll diagram is contained within the boxes in the diagram, as any number or object has to either have an attribute or not have it. Carroll diagrams are often learnt by schoolchildren, but they can also be used outside the field of education, since they are a tidy way of categorising and displaying information. See also * Diagram * Karnaugh map * Set theory * Venn diagram * The Game of Logic References Further reading * * External links * * {{ci ...
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Carroll Diagram (simple)
Carroll may refer to: People * Carroll (given name) * Carroll (surname) * O'Carroll, also known as Carroll, a Gaelic Irish clan * Mac Cearbhaill, anglicised as Carroll, a Gaelic Irish clan * Charles Carroll Webster (1824-1893), American lawyer and politician Places Australia *Carroll, New South Wales United States *Carroll, Iowa *Carroll, Nebraska *Carroll, New Hampshire * Carroll, New York *Carroll, Ohio * Carroll, Texas * Carroll County (other), various * Carroll Plantation, Maine *Carroll Township (other), various *Carroll Valley, Pennsylvania *East Carroll Parish, Louisiana *East Carroll Township, Cambria County, Pennsylvania *West Carroll Parish, Louisiana *Mount Carroll, Illinois Education *Carroll College (Montana) *Carroll University, Waukesha, Wisconsin *John Carroll University, Cleveland, Ohio *Carroll Hall (University of Notre Dame), residence hall * Carroll School of Management, within Boston College Court cases *''R v Carroll'', Australian High ...
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Diagram
A diagram is a symbolic representation of information using visualization techniques. Diagrams have been used since prehistoric times on walls of caves, but became more prevalent during the Enlightenment. Sometimes, the technique uses a three-dimensional visualization which is then projected onto a two-dimensional surface. The word ''graph'' is sometimes used as a synonym for diagram. Overview The term "diagram" in its commonly used sense can have a general or specific meaning: * ''visual information device'' : Like the term " illustration", "diagram" is used as a collective term standing for the whole class of technical genres, including graphs, technical drawings and tables. * ''specific kind of visual display'' : This is the genre that shows qualitative data with shapes that are connected by lines, arrows, or other visual links. In science the term is used in both ways. For example, Anderson (1997) stated more generally: "diagrams are pictorial, yet abstract, represen ...
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Graphical Concepts In Set Theory
Graphics () are visual images or designs on some surface, such as a wall, canvas, screen, paper, or stone, to inform, illustrate, or entertain. In contemporary usage, it includes a pictorial representation of data, as in design and manufacture, in typesetting and the graphic arts, and in educational and recreational software. Images that are generated by a computer are called computer graphics. Examples are photographs, drawings, line art, mathematical graphs, line graphs, charts, diagrams, typography, numbers, symbols, geometric designs, maps, engineering drawings, or other images. Graphics often combine text, illustration, and color. Graphic design may consist of the deliberate selection, creation, or arrangement of typography alone, as in a brochure, flyer, poster, web site, or book without any other element. The objective can be clarity or effective communication, association with other cultural elements, or merely the creation of a distinctive style. Graphics can be func ...
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Internet Encyclopedia Of Philosophy
The ''Internet Encyclopedia of Philosophy'' (''IEP'') is a scholarly online encyclopedia, dealing with philosophy, philosophical topics, and philosophers. The IEP combines open access publication with peer reviewed publication of original papers. Contribution is generally by invitation, and contributors are recognized and leading international specialists within their field. History The ''IEP'' was founded by philosopher James Fieser in 1995, operating through a non-profit organization with the aim of providing accessible and scholarly information on philosophy.Kooy, B. 2015. 'Internet Encyclopedia of Philosophy', in ''Reference Review,'' Vol.29, No.4, p.12; see also The current general editors are philosophers James Fieser and Bradley Dowden, with the staff also including numerous area editors as well as volunteers. The entire website was redesigned in the summer of 2009, moving from static HTML pages to the open-source publishing platform ''WordPress''. Organization The i ...
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Johns Hopkins University Press
The Johns Hopkins University Press (also referred to as JHU Press or JHUP) is the publishing division of Johns Hopkins University. It was founded in 1878 and is the oldest continuously running university press in the United States. The press publishes books and journals, and operates other divisions including fulfillment and electronic databases. Its headquarters are in Charles Village, Baltimore. In 2017, after the retirement of Kathleen Keane who is credited with modernizing JHU Press for the digital age, the university appointed new director Barbara Pope. Overview Daniel Coit Gilman, the first president of the Johns Hopkins University, inaugurated the press in 1878. The press began as the university's Publication Agency, publishing the ''American Journal of Mathematics'' in its first year and the ''American Chemical Journal'' in its second. It published its first book, ''Sidney Lanier: A Memorial Tribute'', in 1881 to honor the poet who was one of the university's first writers ...
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McMaster University
McMaster University (McMaster or Mac) is a public research university in Hamilton, Ontario, Canada. The main McMaster campus is on of land near the residential neighbourhoods of Ainslie Wood and Westdale, adjacent to the Royal Botanical Gardens. It operates six academic faculties: the DeGroote School of Business, Engineering, Health Sciences, Humanities, Social Science, and Science. It is a member of the U15, a group of research-intensive universities in Canada. The university bears the name of William McMaster, a prominent Canadian senator and banker who bequeathed C$900,000 to its founding. It was incorporated under the terms of an act of the Legislative Assembly of Ontario in 1887, merging the Toronto Baptist College with Woodstock College. It opened in Toronto in 1890. Inadequate facilities and the gift of land in Hamilton prompted its relocation in 1930. The Baptist Convention of Ontario and Quebec controlled the university until it became a privately chartered, pu ...
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University Of Winnipeg
The University of Winnipeg (UWinnipeg, UW) is a public research university in Winnipeg, Manitoba, Canada, that offers undergraduate faculties of art, business and economics, education, science and kinesiology and applied health as well as graduate programs. UWinnipeg's founding colleges were Manitoba College and Wesley College, which merged to form United College in 1938. The University of Winnipeg was established in 1967 when United College received its charter. The governance was modeled on the provincial University of Toronto Act of 1906 which established a bicameral system of university government consisting of a senate (faculty), responsible for academic policy, and a board of governors (citizens) exercising exclusive control over financial policy and having formal authority in all other matters. The president, appointed by the board, was a link between the bodies to perform institutional leadership. The university is a member of the Association of Universities and Col ...
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The Game Of Logic
''The Game of Logic'' is a book, published in 1886, written by the English mathematician Charles Lutwidge Dodgson (1832–1898), better known under his literary pseudonym Lewis Carroll. In addition to his well-known children's literature, Dodgson/Carroll was an academic mathematician who worked in mathematical logic. The book describes, in an informal and playful style, the use of a board game to represent logical propositions and inferences. Dodgson/Carroll incorporated the game into a longer and more formal introductory logic textbook titled ''Symbolic Logic'', published in 1897. The books are sometimes reprinted in a single volume. The book aims to teach players the fundamentals of logic by asking players to use coins on a board. The proposition used in this context is: "Some fresh cakes are sweet." The game world is divided into four quadrants. It is to be played with five gray coins and four red coins. A red coin symbolizes one or more cakes being present in an area while a gr ...
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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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Set Theory
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole. The modern study of set theory was initiated by the German mathematicians Richard Dedekind and Georg Cantor in the 1870s. In particular, Georg Cantor is commonly considered the founder of set theory. The non-formalized systems investigated during this early stage go under the name of '' naive set theory''. After the discovery of paradoxes within naive set theory (such as Russell's paradox, Cantor's paradox and the Burali-Forti paradox) various axiomatic systems were proposed in the early twentieth century, of which Zermelo–Fraenkel set theory (with or without the axiom of choice) is still the best-known and most studied. Set theory is commonly employed as a foundational ...
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Karnaugh Map
The Karnaugh map (KM or K-map) is a method of simplifying Boolean algebra expressions. Maurice Karnaugh introduced it in 1953 as a refinement of Edward W. Veitch's 1952 Veitch chart, which was a rediscovery of Allan Marquand's 1881 ''logical diagram'' aka Marquand diagram but with a focus now set on its utility for switching circuits. Veitch charts are also known as Marquand–Veitch diagrams or, rarely, as Svoboda charts, and Karnaugh maps as Karnaugh–Veitch maps (KV maps). The Karnaugh map reduces the need for extensive calculations by taking advantage of humans' pattern-recognition capability. It also permits the rapid identification and elimination of potential race conditions. The required Boolean results are transferred from a truth table onto a two-dimensional grid where, in Karnaugh maps, the cells are ordered in Gray code, and each cell position represents one combination of input conditions. Cells are also known as minterms, while each cell value represents the ...
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Education
Education is a purposeful activity directed at achieving certain aims, such as transmitting knowledge or fostering skills and character traits. These aims may include the development of understanding, rationality, kindness, and honesty. Various researchers emphasize the role of critical thinking in order to distinguish education from indoctrination. Some theorists require that education results in an improvement of the student while others prefer a value-neutral definition of the term. In a slightly different sense, education may also refer, not to the process, but to the product of this process: the mental states and dispositions possessed by educated people. Education originated as the transmission of cultural heritage from one generation to the next. Today, educational goals increasingly encompass new ideas such as the liberation of learners, skills needed for modern society, empathy, and complex vocational skills. Types of education are commonly divided into formal ...
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