Mathematical Truth
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Mathematical Truth
Truth is the property of being in accord with fact or reality.Merriam-Webster's Online Dictionarytruth 2005 In everyday language, truth is typically ascribed to things that aim to represent reality or otherwise correspond to it, such as beliefs, propositions, and declarative sentences. Truth is usually held to be the opposite of falsehood. The concept of truth is discussed and debated in various contexts, including philosophy, art, theology, and science. Most human activities depend upon the concept, where its nature as a concept is assumed rather than being a subject of discussion; these include most of the sciences, law, journalism, and everyday life. Some philosophers view the concept of truth as basic, and unable to be explained in any terms that are more easily understood than the concept of truth itself. Most commonly, truth is viewed as the correspondence of language or thought to a mind-independent world. This is called the correspondence theory of truth. Various theorie ...
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Fact
A fact is a datum about one or more aspects of a circumstance, which, if accepted as true and proven true, allows a logical conclusion to be reached on a true–false evaluation. Standard reference works are often used to check facts. Scientific facts are verified by repeatable careful observation or measurement by experiments or other means. For example, "This sentence contains words." accurately describes a linguistic fact, and "The sun is a star" accurately describes an astronomical fact. Further, "Abraham Lincoln was the 16th President of the United States" and "Abraham Lincoln was assassinated" both accurately describe historical facts. Generally speaking, facts are independent of belief and of knowledge and opinion. Facts are different from theories, values, and objects. Etymology and usage The word ''fact'' derives from the Latin ''factum''. It was first used in English with the same meaning: "a thing done or performed"a meaning now obsolete."Fact" (1a). Oxf ...
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Knowledge Relativity
Factual relativism (also called epistemic relativism, epistemological relativism, alethic relativism or cognitive relativism) argues that truth itself is relative. This form of relativism has its own particular problem, regardless of whether one is talking about truth being relative to the individual, the position or purpose of the individual, or the conceptual scheme within which the truth was revealed. This problem centers on what Maurice Mandelbaum in 1962 termed the "self-excepting fallacy." Largely because of the self-excepting fallacy, few authors in the philosophy of science currently accept alethic cognitive relativism. Factual relativism is a way to reason where facts used to justify any claims are understood to be relative and subjective to the perspective of those proving or falsifying the proposition. Viewpoints One school of thought compares scientific knowledge to the mythology of other cultures, arguing that it is merely our society's set of myths based on soci ...
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Modern German
New High German (NHG; german: Neuhochdeutsch (Nhd.)) is the term used for the most recent period in the history of the German language, starting in the 17th century. It is a loan translation of the German (). The most important characteristic of the period is the development of a standard written German, followed by the standardisation of the spoken language. For this reason, the term New High German (or simply High German) is also used as a synonym for modern standard German. Periodisation The German term was originally coined in 1819 by Jacob Grimm for the period from around 1450 to the present day, following on from Middle High German (). However, in 1878 Wilhelm Scherer proposed a transitional period, 1350–1650, for which he coined the new term ( Early New High German), thus dating New High German from the mid 17th century. In spite of many alternative proposals, Scherer's remains the most widely adopted periodisation of German. There are both linguistic and extra- ...
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Old Saxon
Old Saxon, also known as Old Low German, was a Germanic language and the earliest recorded form of Low German (spoken nowadays in Northern Germany, the northeastern Netherlands, southern Denmark, the Americas and parts of Eastern Europe). It is a West Germanic language, closely related to the Anglo-Frisian languages. It is documented from the 8th century until the 12th century, when it gradually evolved into Middle Low German. It was spoken throughout modern northwestern Germany, primarily in the coastal regions and in the eastern Netherlands by Saxons, a Germanic tribe that inhabited the region of Saxony. It partially shares Anglo-Frisian's ( Old Frisian, Old English) Ingvaeonic nasal spirant law which sets it apart from Low Franconian and Irminonic languages, such as Dutch, Luxembourgish and German. The grammar of Old Saxon was fully inflected with five grammatical cases ( nominative, accusative, genitive, dative, and instrumental), three grammatical numbers ( s ...
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West Sexaon Dialect (Old English)
la, Regnum Occidentalium Saxonum , conventional_long_name = Kingdom of the West Saxons , common_name = Wessex , image_map = Southern British Isles 9th century.svg , map_caption = Southern Britain in the ninth century , event_start = Established , year_start = 519 , event_end = English unification , year_end = 12 July 927 , event1 = , date_event1 = , event_pre = Settlement , date_pre = 5th–6th century , event_post = Norman conquest , date_post = 14 October 1066 , border_s2 = no , common_languages = Old English *West Saxon dialect British Latin , religion = PaganismChristianity , leader1 = Cerdic (first) , leader2 = Ine , leader3 = Ecgberht , leader4 = Alfred the Great , leader5 ...
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Troth (other)
Troth may refer to: * An alternate form of truth, especially in the medieval sense * Troth (surname) * Troth Yeddha', a landform in the Fairbanks North Star Borough, Alaska * The Troth The Troth, formerly the Ring of Troth, is an American-based international heathen organization.On its main ...
, an American Asatru organization * Troth's Fortune, a historic home in Easton, Maryland, United States {{disambiguation ...
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Old Norse
Old Norse, Old Nordic, or Old Scandinavian, is a stage of development of North Germanic dialects before their final divergence into separate Nordic languages. Old Norse was spoken by inhabitants of Scandinavia and their overseas settlements and chronologically coincides with the Viking Age, the Christianization of Scandinavia and the consolidation of Scandinavian kingdoms from about the 7th to the 15th centuries. The Proto-Norse language developed into Old Norse by the 8th century, and Old Norse began to develop into the modern North Germanic languages in the mid-to-late 14th century, ending the language phase known as Old Norse. These dates, however, are not absolute, since written Old Norse is found well into the 15th century. Old Norse was divided into three dialects: ''Old West Norse'' or ''Old West Nordic'' (often referred to as ''Old Norse''), ''Old East Norse'' or ''Old East Nordic'', and '' Old Gutnish''. Old West Norse and Old East Norse formed a dialect ...
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Old High German
Old High German (OHG; german: Althochdeutsch (Ahd.)) is the earliest stage of the German language, conventionally covering the period from around 750 to 1050. There is no standardised or supra-regional form of German at this period, and Old High German is an umbrella term for the group of continental West Germanic dialects which underwent the set of consonantal changes called the Second Sound Shift. At the start of this period, the main dialect areas belonged to largely independent tribal kingdoms, but by 788 the conquests of Charlemagne had brought all OHG dialect areas into a single polity. The period also saw the development of a stable linguistic border between German and Gallo-Romance, later French. The surviving OHG texts were all written in monastic scriptoria and, as a result, the overwhelming majority of them are religious in nature or, when secular, belong to the Latinate literary culture of Christianity. The earliest written texts in Old High German, glosses and ...
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Middle English
Middle English (abbreviated to ME) is a form of the English language that was spoken after the Norman conquest of 1066, until the late 15th century. The English language underwent distinct variations and developments following the Old English period. Scholarly opinion varies, but the '' Oxford English Dictionary'' specifies the period when Middle English was spoken as being from 1150 to 1500. This stage of the development of the English language roughly followed the High to the Late Middle Ages. Middle English saw significant changes to its vocabulary, grammar, pronunciation, and orthography. Writing conventions during the Middle English period varied widely. Examples of writing from this period that have survived show extensive regional variation. The more standardized Old English language became fragmented, localized, and was, for the most part, being improvised. By the end of the period (about 1470) and aided by the invention of the printing press by Johannes Gutenberg ...
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