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Evidence Of Absence
Evidence of absence is evidence of any kind that suggests something is missing or that it does not exist. What counts as evidence of absence has been a subject of debate between scientists and philosophers. It is often distinguished from absence of evidence. Overview Evidence of absence and absence of evidence are similar but distinct concepts. This distinction is captured in the aphorism "Absence of evidence is not evidence of absence." This antimetabole is often attributed to Martin Rees or Carl Sagan, but a version appeared as early as 1888 in a writing by William Wright. In Sagan's words, the expression is a critique of the "impatience with ambiguity" exhibited by appeals to ignorance. Despite what the expression may seem to imply, a lack of evidence can be informative. For example, when testing a new drug, if no harmful effects are observed then this suggests that the drug is safe. This is because, if the drug were harmful, evidence of that fact can be expected to tu ...
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Evidence
Evidence for a proposition is what supports the proposition. It is usually understood as an indication that the proposition is truth, true. The exact definition and role of evidence vary across different fields. In epistemology, evidence is what Justification (epistemology), justifies beliefs or what makes it rational to hold a certain wikt:doxastic, doxastic attitude. For example, a perceptual experience of a tree may serve as evidence to justify the belief that there is a tree. In this role, evidence is usually understood as a private mental state. In Phenomenology (philosophy), phenomenology, evidence is limited to intuitive knowledge, often associated with the controversial assumption that it provides indubitable access to truth. In the science, scientific evidence is information gained through the scientific method that confirms or disconfirms Hypothesis#Scientific hypothesis, scientific hypotheses, acting as a neutral arbiter between competing Scientific theory, theories. Mea ...
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Scientific Community
The scientific community is a diverse network of interacting scientists. It includes many "working group, sub-communities" working on particular scientific fields, and within particular institutions; interdisciplinary and cross-institutional activities are also significant. Objectivity (philosophy), Objectivity is expected to be achieved by the scientific method. Peer review, through discussion and debate within journals and conferences, assists in this objectivity by maintaining the quality of research methodology and interpretation of results. History of scientific communities The eighteenth century had some societies made up of men who studied nature, also known as natural philosophy, natural philosophers and natural history, natural historians, which included even amateurs. As such these societies were more like local clubs and groups with diverse interests than actual scientific communities, which usually had interests on specialized disciplines. Though there were a few olde ...
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Epistemology
Epistemology is the branch of philosophy that examines the nature, origin, and limits of knowledge. Also called "the theory of knowledge", it explores different types of knowledge, such as propositional knowledge about facts, practical knowledge in the form of skills, and knowledge by acquaintance as a familiarity through experience. Epistemologists study the concepts of belief, truth, and justification to understand the nature of knowledge. To discover how knowledge arises, they investigate sources of justification, such as perception, introspection, memory, reason, and testimony. The school of skepticism questions the human ability to attain knowledge while fallibilism says that knowledge is never certain. Empiricists hold that all knowledge comes from sense experience, whereas rationalists believe that some knowledge does not depend on it. Coherentists argue that a belief is justified if it coheres with other beliefs. Foundationalists, by contrast, maintain th ...
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Cengage Learning
Cengage Group is an American educational content, technology, and services company for higher education, K–12, professional, and library markets. It operates in more than 20 countries around the world.(June 27, 2014Global Publishing Leaders 2014: Cengage publishersweekly.comCompany Info – Wall Street JournalCengage LearningCompany Overview of Cengage Learning, Inc.
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The company is headquartered in , Massachusetts, and has some 5,000 employees worldwide across nearly 38 countries. It was headquartered at its

Proof Of Impossibility
In mathematics, an impossibility theorem is a theorem that demonstrates a problem or general set of problems cannot be solved. These are also known as proofs of impossibility, negative proofs, or negative results. Impossibility theorems often resolve decades or centuries of work spent looking for a solution by proving there ''is'' no solution. Proving that something is impossible is usually much harder than the opposite task, as it is often necessary to develop a proof that works in general, rather than to just show a particular example. Impossibility theorems are usually expressible as negative existential propositions or universal propositions in logic. The irrationality of the square root of 2 is one of the oldest proofs of impossibility. It shows that it is impossible to express the square root of 2 as a ratio of two integers. Another consequential proof of impossibility was Ferdinand von Lindemann's proof in 1882, which showed that the problem of squaring the circle cannot ...
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Burden Of Proof (philosophy)
The burden of proof (Latin: ''onus probandi'', shortened from ''Onus probandi incumbit ei qui dicit, non ei qui negat'' – the burden of proof lies with the one who speaks, not the one who denies) is the obligation on a party in a dispute to provide sufficient warrant for its position. Holder of the burden When two parties are in a discussion and one makes a claim that the other disputes, the one who makes the claim typically has a ''burden of proof'' to justify or substantiate that claim, especially when it challenges a perceived ''status quo''. This is also stated in Hitchens's razor, which declares that "what may be asserted without evidence may be dismissed without evidence." Carl Sagan proposed a related criterion: " Extraordinary claims require extraordinary evidence". While certain kinds of arguments, such as logical syllogisms, require mathematical or strictly logical proofs, the standard for evidence to meet the burden of proof is usually determined by context a ...
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Arrow's Impossibility Theorem
Arrow's impossibility theorem is a key result in social choice theory showing that no ranked-choice procedure for group decision-making can satisfy the requirements of rational choice. Specifically, Arrow showed no such rule can satisfy the independence of irrelevant alternatives axiom. This is the principle that a choice between two alternatives and should not depend on the quality of some third, unrelated option, . The result is often cited in discussions of voting rules, where it shows no ranked voting rule to eliminate the spoiler effect. This result was first shown by the Marquis de Condorcet, whose voting paradox showed the impossibility of logically-consistent majority rule; Arrow's theorem generalizes Condorcet's findings to include non-majoritarian rules like collective leadership or consensus decision-making. While the impossibility theorem shows all ranked voting rules must have spoilers, the frequency of spoilers differs dramatically by rule. Plurality-rule me ...
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Euclid's Theorem
Euclid's theorem is a fundamental statement in number theory that asserts that there are Infinite set, infinitely many prime number, prime numbers. It was first proven by Euclid in his work ''Euclid's Elements, Elements''. There are several proofs of the theorem. Euclid's proof Euclid offered a proof published in his work ''Elements'' (Book IX, Proposition 20), which is paraphrased here. Consider any finite list of prime numbers ''p''1, ''p''2, ..., ''p''''n''. It will be shown that there exists at least one additional prime number not included in this list. Let ''P'' be the product of all the prime numbers in the list: ''P'' = ''p''1''p''2...''p''''n''. Let ''q'' = ''P'' + 1. Then ''q'' is either prime or not: *If ''q'' is prime, then there is at least one more prime that is not in the list, namely, ''q'' itself. *If ''q'' is not prime, then some prime factor ''p'' divides ''q''. If this factor ''p'' were in our list, then it wo ...
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Cambridge University Press
Cambridge University Press was the university press of the University of Cambridge. Granted a letters patent by King Henry VIII in 1534, it was the oldest university press in the world. Cambridge University Press merged with Cambridge Assessment to form Cambridge University Press and Assessment under Queen Elizabeth II's approval in August 2021. With a global sales presence, publishing hubs, and offices in more than 40 countries, it published over 50,000 titles by authors from over 100 countries. Its publications include more than 420 academic journals, monographs, reference works, school and university textbooks, and English language teaching and learning publications. It also published Bibles, runs a bookshop in Cambridge, sells through Amazon, and has a conference venues business in Cambridge at the Pitt Building and the Sir Geoffrey Cass Sports and Social Centre. It also served as the King's Printer. Cambridge University Press, as part of the University of Cambridge, was a ...
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Think (journal)
''Think: Philosophy for Everyone'' is an academic journal created to forge a direct link between contemporary philosophy and the general public. The central aim of the journal is to provide easily accessible and engaging writing by philosophers pre-eminent in their fields to a wide audience, unimpeded by academic jargon and technicality. The journal is sponsored by the Royal Institute of Philosophy in London and published by Cambridge University Press. Think's editor is Stephen Law. ''Think'' expressly aims to counter the popular impression that philosophy is pointless and wholly detached from everyday life. It also aims to expose some of the bad philosophy that currently passes as accepted wisdom, and offers contemporary philosophers the chance to help nurture and encourage philosophers of the next generation.Journal website at Philosoph ...
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Affirmative And Negative
In linguistics and grammar, affirmation (abbreviated ) and negation () are ways in which grammar encodes positive and negative polarity into verb phrases, clauses, or utterances. An affirmative (positive) form is used to express the validity or truth of a basic assertion, while a negative form expresses its falsity. For example, the affirmative sentence "Joe is here" asserts that it is true that Joe is currently located near the speaker. Conversely, the negative sentence "Joe is not here" asserts that it is not true that Joe is currently located near the speaker. The grammatical category associated with affirmatives and negatives is called polarity. This means that a clause, sentence, verb phrase, etc. may be said to have either affirmative or negative polarity (its polarity may be either affirmative or negative). Affirmative is typically the unmarked polarity, whereas a negative statement is marked in some way. Negative polarity can be indicated by negating words or particles s ...
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Presumption Of Innocence
The presumption of innocence is a legal principle that every person Accused (law), accused of any crime is considered innocent until proven guilt (law), guilty. Under the presumption of innocence, the legal burden of proof is thus on the Prosecutor, prosecution, which must present compelling evidence to the trier of fact (a judge or a jury). If the prosecution does not prove the charges true, then the person is Acquittal, acquitted of the charges. The prosecution must in most cases prove that the accused is guilty beyond a reasonable doubt. If reasonable doubt remains, the accused must be acquitted. The opposite system is a presumption of guilt. In many countries and under many legal systems, including common law and Civil law (legal system), civil law systems (not to be confused with Civil law (common law), the other kind of civil law, which deals with non-criminal legal issues), the presumption of innocence is a legal right of the accused in a criminal trial. It is also an in ...
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