Sorites Paradox
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Sorites Paradox
The sorites paradox (; sometimes known as the paradox of the heap) is a paradox that results from vague predicates. A typical formulation involves a heap of sand, from which grains are removed individually. With the assumption that removing a single grain does not cause a heap to become a non-heap, the paradox is to consider what happens when the process is repeated enough times that only one grain remains: is it still a heap? If not, when did it change from a heap to a non-heap? The original formulation and variations Paradox of the heap The word ''sorites'' ('' grc-gre, σωρείτης'') derives from the Greek word for 'heap' ('' grc-gre, σωρός''). The paradox is so named because of its original characterization, attributed to Eubulides of Miletus. The paradox is as follows: consider a heap of sand from which grains are removed individually. One might construct the argument, using premises, as follows: :'' grains of sand is a heap of sand'' (Premise 1) :''A heap of ...
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Tannin Heap
Tannins (or tannoids) are a class of astringent, polyphenolic biomolecules that bind to and precipitate proteins and various other organic compounds including amino acids and alkaloids. The term ''tannin'' (from Anglo-Norman ''tanner'', from Medieval Latin ''tannāre'', from ''tannum'', oak bark) refers to the use of oak and other bark in tanning animal hides into leather. By extension, the term ''tannin'' is widely applied to any large polyphenolic compound containing sufficient hydroxyls and other suitable groups (such as carboxyls) to form strong complexes with various macromolecules. The tannin compounds are widely distributed in many species of plants, where they play a role in protection from predation (acting as pesticides) and might help in regulating plant growth. The astringency from the tannins is what causes the dry and puckery feeling in the mouth following the consumption of unripened fruit, red wine or tea. Likewise, the destruction or modification of t ...
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Color Gradient Illustrating A Sorites Paradox With Labels
Color (American English) or colour (British English) is the visual perception, visual perceptual Physical property, property deriving from the spectrum of light interacting with the photoreceptor cells of the eyes. Color categories and physical specifications of color are associated with objects or materials based on their physical properties such as light absorption, reflection, or emission spectra. By defining a color space, colors can be identified numerically by their coordinates. Because perception of color stems from the varying spectral sensitivity of different types of cone cells in the retina to different parts of the spectrum, colors may be defined and quantified by the degree to which they stimulate these cells. These physical or physiological quantifications of color, however, do not fully explain the psychophysics, psychophysical perception of color appearance. Color science includes the color vision, perception of color by the human eye, eye and brain, the origin ...
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Atomism
Atomism (from Greek , ''atomon'', i.e. "uncuttable, indivisible") is a natural philosophy proposing that the physical universe is composed of fundamental indivisible components known as atoms. References to the concept of atomism and its atoms appeared in both ancient Greek and ancient Indian philosophical traditions. Leucippus is the earliest figure whose commitment to atomism is well attested and he is usually credited with inventing atomism. He and other ancient Greek atomists theorized that nature consists of two fundamental principles: ''atom'' and ''void''. Clusters of different shapes, arrangements, and positions give rise to the various macroscopic substances in the world.Berryman, Sylvia, "Ancient Atomism", ''The Stanford Encyclopedia of Philosophy'' (Fall 2008 Edition), Edward N. Zalta (ed.)online/ref> The particles of chemical matter for which chemists and other natural philosophers of the early 19th century found experimental evidence were thought to be indivisibl ...
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Continuum (theory)
Continuum theories or models explain variation as involving gradual quantitative transitions without abrupt changes or discontinuities. In contrast, categorical theories or models explain variation using qualitatively different states. In physics In physics, for example, the space-time continuum model describes space and time as part of the same continuum rather than as separate entities. A spectrum in physics, such as the electromagnetic spectrum, is often termed as either continuous (with energy at all wavelengths) or discrete (energy at only certain wavelengths). In contrast, quantum mechanics uses quanta, certain defined amounts (i.e. categorical amounts) which are distinguished from continuous amounts. In mathematics and philosophy A good introduction to the philosophical issues involved is John Lane Bell'essayin th''Stanford Encyclopedia of Philosophy'' A significant divide is provided by the law of excluded middle. It determines the divide between intuitionist ...
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Existence
Existence is the ability of an entity to interact with reality. In philosophy, it refers to the ontology, ontological Property (philosophy), property of being. Etymology The term ''existence'' comes from Old French ''existence'', from Medieval Latin ''existentia/exsistentia'', from Latin ''existere'', to come forth, be manifest, ''ex + sistere'', to stand. Context in philosophy Materialism holds that the only things that exist are matter and energy, that all things are composed of material, that all actions require energy, and that all phenomena (including consciousness) are the result of the interaction of matter. Dialectical materialism does not make a distinction between being and existence, and defines it as the objective reality of various forms of matter. Idealism holds that the only things that exist are thoughts and ideas, while the material world is secondary. In idealism, existence is sometimes contrasted with Transcendence (philosophy), transcendence, the ability ...
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Difference (philosophy)
Difference is a key concept of philosophy, denoting the process or set of properties by which one entity is distinguished from another within a relational field or a given conceptual system. In the Western philosophical system, difference is traditionally viewed as being opposed to identity, following the Principles of Leibniz, and in particular, his Law of the identity of indiscernibles. In structuralist and poststructuralist accounts, however, difference is understood to be ''constitutive'' of both meaning and identity. In other words, because identity (particularly, personal identity) is viewed in non-essentialist terms as a construct, and because constructs only produce meaning through the interplay of differences (see below), it is the case that for both structuralism and poststructuralism, identity cannot be said to exist without difference. Difference in Leibniz's law Gottfried Leibniz's Principle of the identity of indiscernibles states that two things are identical i ...
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Proposition
In logic and linguistics, a proposition is the meaning of a declarative sentence. In philosophy, " meaning" is understood to be a non-linguistic entity which is shared by all sentences with the same meaning. Equivalently, a proposition is the non-linguistic bearer of truth or falsity which makes any sentence that expresses it either true or false. While the term "proposition" may sometimes be used in everyday language to refer to a linguistic statement which can be either true or false, the technical philosophical term, which differs from the mathematical usage, refers exclusively to the non-linguistic meaning behind the statement. The term is often used very broadly and can also refer to various related concepts, both in the history of philosophy and in contemporary analytic philosophy. It can generally be used to refer to some or all of the following: The primary bearers of truth values (such as "true" and "false"); the objects of belief and other propositional attitudes (i.e ...
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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 found in ...
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Pan Books
Pan Books is a publishing imprint that first became active in the 1940s and is now part of the British-based Macmillan Publishers, owned by the Georg von Holtzbrinck Publishing Group of Germany. Pan Books began as an independent publisher, established in 1944 by Alan Bott, previously known for his memoirs of his experiences as a flying ace in the First World War. The Pan Books logo, showing the ancient Greek god Pan playing pan-pipes, was designed by Mervyn Peake. A few years after it was founded, Pan Books was bought out by a consortium of several publishing houses, including Macmillan, Collins, Heinemann, and, briefly, Hodder & Stoughton. It became wholly owned by Macmillan in 1987. Pan specialised in publishing paperback fiction and, along with Penguin Books, was one of the first popular publishers of this format in the UK. Many popular authors saw their works given paperback publication through Pan, including Ian Fleming, whose James Bond series first appeared in pape ...
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Cosma Shalizi
Cosma Rohilla Shalizi (born February 28, 1974) is an associate professor in the Department of Statistics at Carnegie Mellon University in Pittsburgh. Life Cosma Rohilla Shalizi is of Tamil, Afghan and Italian heritage and was born in Boston, where he lived for the first two years of his life. He grew up in Bethesda, Maryland. In 1990 he was accepted as a Chancellor's Scholar at the University of California, Berkeley, and completed a bachelor's degree in Physics. Subsequently, he attended the University of Wisconsin–Madison where he received a doctorate in physics in May 2001. From 1998 to 2002, he worked at the Santa Fe Institute, in the Evolving Cellular Automata Project and the Computation, Dynamics and Inference group. From 2002 to 2005, he worked at the Center for the Study of Complex Systems at the University of Michigan in Ann Arbor. In August 2006, he became an assistant professor in the Department of Statistics at Carnegie Mellon University in Pittsburgh. Shalizi i ...
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The Australasian Journal Of Psychology And Philosophy
The ''Australasian Journal of Philosophy'' is a quarterly peer-reviewed academic journal of philosophy and "one of the oldest English-language philosophy journals in the world". It was established in 1923 as ''The Australasian Journal of Psychology and Philosophy'', obtaining its current title in 1947. It is published by Routledge on behalf of the Australasian Association of Philosophy. In 2007, it was rated "A" in the European Reference Index in the Humanities. It is abstracted and indexed by the Arts and Humanities Citation Index, Historical Abstracts, Scopus, Philosopher's Index, ProQuest databases, and Current Contents/Arts & Humanities. History Continuously published since its foundation in 1923 – with all members of the ''Australasian Association of Psychology and Philosophy'' receiving copies of the journal free of charge as a perquisite of their membership (it was also available to non-members at a cost of three shillings an issue, or ten shillings a year) – it wa ...
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Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British mathematician, philosopher, logician, and public intellectual. He had a considerable influence on mathematics, logic, set theory, linguistics, artificial intelligence, cognitive science, computer science and various areas of analytic philosophy, especially philosophy of mathematics, philosophy of language, epistemology, and metaphysics.Stanford Encyclopedia of Philosophy"Bertrand Russell" 1 May 2003. He was one of the early 20th century's most prominent logicians, and a founder of analytic philosophy, along with his predecessor Gottlob Frege, his friend and colleague G. E. Moore and his student and protégé Ludwig Wittgenstein. Russell with Moore led the British "revolt against idealism". Together with his former teacher A. N. Whitehead, Russell wrote ''Principia Mathematica'', a milestone in the development of classical logic, and a major attempt to reduce the whole ...
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