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Hodological Space
In psychology, hodological space (from the Greek word ''hodos'', which means "way") refers to the space of possible movement. Unlike the straight line, this space involves the so-called "preferred paths", which serve as a compromise of different domains that include shortest distance, security, minimal work, and maximum experience. Background The German gestalt psychologist Kurt Lewin first introduced this concept in the early part of the 20th century prior to his exile in the United States. It emerged in his attempt to use mathematical concepts to deal with psychological problems and was based on Albert Einstein's notion of "field space" and mathematics from modern topology theory. It was also based on his idea that Euclidian space is hardly experienced by humans since built physical spaces do not accommodate following a straight line. As a measurement system, the hodological space was used by Lewin to expand the nonquantitative but mathematical representation of structure and ...
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Psychology
Psychology is the scientific study of mind and behavior. Psychology includes the study of conscious and unconscious phenomena, including feelings and thoughts. It is an academic discipline of immense scope, crossing the boundaries between the natural and social sciences. Psychologists seek an understanding of the emergent properties of brains, linking the discipline to neuroscience. As social scientists, psychologists aim to understand the behavior of individuals and groups.Fernald LD (2008)''Psychology: Six perspectives'' (pp.12–15). Thousand Oaks, CA: Sage Publications.Hockenbury & Hockenbury. Psychology. Worth Publishers, 2010. Ψ (''psi''), the first letter of the Greek word ''psyche'' from which the term psychology is derived (see below), is commonly associated with the science. A professional practitioner or researcher involved in the discipline is called a psychologist. Some psychologists can also be classified as behavioral or cognitive scientists. Some psyc ...
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Eisodos
A parodos (also parode and parodus; grc, πάροδος, 'entrance', plural ), in the theater of ancient Greece, is a side-entrance to the stage, or the first song that is sung by the chorus at the beginning of a Greek tragedy. Side-entrance to the theater The parodos is a large passageway affording access either to the stage (for actors) or to the orchestra (for the chorus) of the ancient Greek theater. The parodoi can be distinguished from the entrances to the stage from the ''skene'', or stage building, as the two parodoi are long ramps located on either side of the stage, between the and the ''theatron'', or audience seating area. The term ('way in') is also used. Scholars note that was an older term for the passageway while ''parodos'' was widely used by writers from Aristotle onwards. Entrance song of the chorus ''Parodos'' also refers to the ode sung by the chorus as it enters and occupies its place in the orchestra. Aristotle defined it as "the first whole utterance of a ...
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Metric Space
In mathematics, a metric space is a set together with a notion of ''distance'' between its elements, usually called points. The distance is measured by a function called a metric or distance function. Metric spaces are the most general setting for studying many of the concepts of mathematical analysis and geometry. The most familiar example of a metric space is 3-dimensional Euclidean space with its usual notion of distance. Other well-known examples are a sphere equipped with the angular distance and the hyperbolic plane. A metric may correspond to a metaphorical, rather than physical, notion of distance: for example, the set of 100-character Unicode strings can be equipped with the Hamming distance, which measures the number of characters that need to be changed to get from one string to another. Since they are very general, metric spaces are a tool used in many different branches of mathematics. Many types of mathematical objects have a natural notion of distance and t ...
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Bernhard Riemann
Georg Friedrich Bernhard Riemann (; 17 September 1826 – 20 July 1866) was a German mathematician who made contributions to analysis, number theory, and differential geometry. In the field of real analysis, he is mostly known for the first rigorous formulation of the integral, the Riemann integral, and his work on Fourier series. His contributions to complex analysis include most notably the introduction of Riemann surfaces, breaking new ground in a natural, geometric treatment of complex analysis. His 1859 paper on the prime-counting function, containing the original statement of the Riemann hypothesis, is regarded as a foundational paper of analytic number theory. Through his pioneering contributions to differential geometry, Riemann laid the foundations of the mathematics of general relativity. He is considered by many to be one of the greatest mathematicians of all time. Biography Early years Riemann was born on 17 September 1826 in Breselenz, a village near Dannenb ...
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Euclid
Euclid (; grc-gre, Wikt:Εὐκλείδης, Εὐκλείδης; BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the ''Euclid's Elements, Elements'' treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved new innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus (mathematician), Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics. Very little is known of Euclid's life, and most information comes from the philosophers Proclus and Pappus of Alexandria many centuries later. Until the early Renaissance he was often mistaken f ...
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Dimensional Space
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coordinate is needed to specify a point on itfor example, the point at 5 on a number line. A surface, such as the boundary of a cylinder or sphere, has a dimension of two (2D) because two coordinates are needed to specify a point on itfor example, both a latitude and longitude are required to locate a point on the surface of a sphere. A two-dimensional Euclidean space is a two-dimensional space on the plane. The inside of a cube, a cylinder or a sphere is three-dimensional (3D) because three coordinates are needed to locate a point within these spaces. In classical mechanics, space and time are different categories and refer to absolute space and time. That conception of the world is a four-dimensional space but not the one that was found necessary ...
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Gilles Deleuze
Gilles Louis René Deleuze ( , ; 18 January 1925 – 4 November 1995) was a French philosopher who, from the early 1950s until his death in 1995, wrote on philosophy, literature, film, and fine art. His most popular works were the two volumes of ''Capitalism and Schizophrenia'': ''Anti-Oedipus'' (1972) and ''A Thousand Plateaus'' (1980), both co-written with psychoanalyst Félix Guattari. His metaphysical treatise ''Difference and Repetition'' (1968) is considered by many scholars to be his magnum opus. See also: "''Difference and Repetition'' is definitely the most important work published by Deleuze." (Edouard Morot-Sir, from the back cover of the first edition of the English translation), or James Williams' judgment: "It is nothing less than a revolution in philosophy and stands out as one of the great philosophical works of the twentieth century" (James Williams, ''Gilles Deleuze's Difference and Repetition: A Critical Introduction and Guide'' dinburgh UP, 2003 p. 1). ...
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Heidegger
Martin Heidegger (; ; 26 September 188926 May 1976) was a German philosopher who is best known for contributions to phenomenology, hermeneutics, and existentialism. He is among the most important and influential philosophers of the 20th century. He has been widely criticized for supporting the Nazi Party after his election as rector at the University of Freiburg in 1933, and there has been controversy about the relationship between his philosophy and Nazism. In Heidegger's fundamental text ''Being and Time'' (1927), "Dasein" is introduced as a term for the type of being that humans possess. Dasein has been translated as "being there". Heidegger believes that Dasein already has a "pre-ontological" and non-abstract understanding that shapes how it lives. This mode of being he terms " being-in-the-world". Dasein and "being-in-the-world" are unitary concepts at odds with rationalist philosophy and its "subject/object" view since at least René Descartes. Heidegger explicitly disag ...
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Jean-Paul Sartre
Jean-Paul Charles Aymard Sartre (, ; ; 21 June 1905 – 15 April 1980) was one of the key figures in the philosophy of existentialism (and phenomenology), a French playwright, novelist, screenwriter, political activist, biographer, and literary critic, as well as a leading figure in 20th-century French philosophy and Marxism. His work has influenced sociology, critical theory, post-colonial theory, and literary studies, and continues to do so. He was awarded the 1964 Nobel Prize in Literature despite attempting to refuse it, saying that he always declined official honors and that "a writer should not allow himself to be turned into an institution." Sartre held an open relationship with prominent feminist and fellow existentialist philosopher Simone de Beauvoir. Together, Sartre and de Beauvoir challenged the cultural and social assumptions and expectations of their upbringings, which they considered bourgeois, in both lifestyles and thought. The conflict between oppressive, ...
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Ekkyklema
An ''ekkyklêma'' (; el, εκκύκλημα; "roll-out machine") was a wheeled platform rolled out through a '' skênê'' in ancient Greek theatre. It was used to bring interior scenes out into the sight of the audience. Some ancient sources suggest that it may have been revolved or turned. It is mainly used in tragedies for revealing dead bodies, such as Hippolytus' dying body in the final scene of Euripides' play of the same name, or the corpse of Eurydice draped over the household altar in Sophocles' ''Antigone''. Other uses include the revelation in Sophocles' '' Ajax'' of Ajax surrounded by the sheep he killed whilst under the delusion that they were Greeks.Rehm (1992, 69). The ''ekkyklêma'' is also used in comedy to parody the tragic effect. An example of this is in Aristophanes' ''Thesmophoriazusae ''Thesmophoriazusae'' ( grc-gre, Θεσμοφοριάζουσαι; ''Thesmophoriazousai'', meaning ''Women Celebrating the Festival of the Thesmophoria''), or ''Women at th ...
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Gestalt Psychology
Gestalt-psychology, gestaltism, or configurationism is a school of psychology that emerged in the early twentieth century in Austria and Germany as a theory of perception that was a rejection of basic principles of Wilhelm Wundt's and Edward Titchener's elementalist and structuralist psychology.Mather, George (2006) Foundations of Perception, Psychology Pressch.1 p.32 As used in Gestalt psychology, the German word ''Gestalt'' ( , ; meaning "form") is interpreted as "pattern" or "configuration". Gestalt psychologists emphasize that organisms perceive entire patterns or configurations, not merely individual components. The view is sometimes summarized using the adage, "the whole is more than the sum of its parts." Gestalt psychology was founded on works by Max Wertheimer, Wolfgang Köhler, and Kurt Koffka. Origin and history Max Wertheimer (1880–1943), Kurt Koffka (1886–1941), and Wolfgang Köhler (1887-1967) founded Gestalt psychology in the early 20th century. The domi ...
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Skene (theatre)
In the theatre of ancient Greece, the ''skene'' was the structure at the back of a stage. The word means 'tent' or 'hut', and it is thought that the original structure for these purposes was a tent or light building of wood and was a temporary structure. It was initially a very light structure or just cloth hanging from a rope, but over the course of time the ''skene'' underwent fundamental changes. First, it became a permanent building, whose roof could sometimes be used to make speeches, and as time passed it was raised up from the level of the orchestra, creating a , or "space in front of the ". The facade of the was behind the orchestra and provided a space for supporting stage scenery. During the Roman Period, the had become a large and complex, elaborately decorated, stone building on several levels. Actors emerged from the '' parodoi'' and could use its steps and balconies to speak from. It was also where costumes were stored and to which the ''periaktoi'' (painted p ...
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