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Heterological
An autological word (also called homological word) is a word that expresses a property that it also possesses (e.g., "word" is a word, "noun" is a noun, "English" is an English word, " pentasyllabic" has five syllables, and "writable" is writable.) The opposite is a heterological word, one that does not apply to itself (e.g. the word "long" is not long, "monosyllabic" has more than one syllable, "dactyl" is not a dactyl, and "misspelled" is not misspelled.) Unlike more general concepts of autology and self-reference, this particular distinction and opposition of "autological" and "heterological words" is uncommon in linguistics for describing linguistic phenomena or classes of words, but is current in logic and philosophy where it was introduced by Kurt Grelling and Leonard Nelson for describing a semantic paradox, later known as Grelling's paradox or the Grelling–Nelson paradox.Grelling and Nelson used the following definition when first publishing their paradox in 1908: "Let ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grelling–Nelson Paradox
The Grelling–Nelson paradox is an antinomy, or a semantic self-referential paradox, concerning the applicability to itself of the word "heterological", meaning "inapplicable to itself". It was formulated in 1908 by Kurt Grelling and Leonard Nelson, and is sometimes mistakenly attributed to the German philosopher and mathematician Hermann Weyl. It is thus occasionally called Weyl's paradox and Grelling's paradox. It is closely related to several other well-known paradoxes, in particular, the barber paradox and Russell's paradox. The paradox Suppose one interprets the adjectives "autological" and "heterological" as follows: # An adjective is ''autological'' (sometimes ''homological'') if it describes itself. For example, the English word "English" is autological, as are "unhyphenated" and "pentasyllabic". # An adjective is ''heterological'' if it does not describe itself. Hence "long" is a heterological word (because it is not a long word), as are "hyphenated" (because it has no ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dactyl (poetry)
A dactyl (; el, δάκτυλος, ''dáktylos'', “finger”) is a foot in poetic meter. In quantitative verse, often used in Greek or Latin, a dactyl is a long syllable followed by two short syllables, as determined by syllable weight. The best-known use of dactylic verse is in the epics attributed to the Greek poet Homer, the Iliad and the Odyssey. In accentual verse, often used in English, a dactyl is a stressed syllable followed by two unstressed syllables—the opposite is the anapaest (two unstressed followed by a stressed syllable). An example of dactylic meter is the first line of Henry Wadsworth Longfellow's epic poem ''Evangeline'' (1847), which is in dactylic hexameter: :''This is the / forest prim- / eval. The / murmuring / pines and the / hemlocks, The first five feet of the line are dactyls; the sixth a trochee. Stephen Fry quotes Robert Browning's poem " The Lost Leader" as an example of the use of dactylic metre to great effect, creating verse with "great rhy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linguistics
Linguistics is the scientific study of human language. It is called a scientific study because it entails a comprehensive, systematic, objective, and precise analysis of all aspects of language, particularly its nature and structure. Linguistics is concerned with both the cognitive and social aspects of language. It is considered a scientific field as well as an academic discipline; it has been classified as a social science, natural science, cognitive science,Thagard, PaulCognitive Science, The Stanford Encyclopedia of Philosophy (Fall 2008 Edition), Edward N. Zalta (ed.). or part of the humanities. Traditional areas of linguistic analysis correspond to phenomena found in human linguistic systems, such as syntax (rules governing the structure of sentences); semantics (meaning); morphology (structure of words); phonetics (speech sounds and equivalent gestures in sign languages); phonology (the abstract sound system of a particular language); and pragmatics (how social con ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kurt Grelling
Kurt Grelling (2 March 1886 – September 1942) was a German logician and philosopher, member of the Berlin Circle. Life and work Kurt Grelling was born on 2 March 1886 in Berlin. His father, the Doctor of Jurisprudence Richard Grelling, and his mother, Margarethe (née Simon), were Jewish. Shortly after his arrival in 1905 at University of Göttingen, Grelling began a collaboration with philosopher Leonard Nelson, with whom he tried to solve Russell's paradox, which had shaken the foundations of mathematics when it was announced in 1903. Their 1908 paper included new paradoxes, including a semantic paradox that was named the Grelling–Nelson paradox. He received his doctorate in mathematics from the same university in 1910 with a PhD dissertation on the development of arithmetic in axiomatic set theory, advised by David Hilbert. In a recorded interview with Herbert Enderton, Alfred Tarski mentions a meeting he had with Grelling in 1938, and says that Grelling was the aut ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Leonard Nelson
Leonard Nelson (; ; 11 July 1882 – 29 October 1927), sometimes spelt Leonhard, was a German mathematician, critical philosopher, and socialist. He was part of the neo-Friesian school (named after post-Kantian philosopher Jakob Friedrich Fries) of neo-Kantianism and a friend of the mathematician David Hilbert. He devised the Grelling–Nelson paradox in 1908 and the related idea of autological words with Kurt Grelling. Neo-Friesian subsequently became an influencer in fields of both philosophy and mathematics, as Nelson's close contacts with scientists and mathematicians influenced their ideas. Despite dying earlier than many of his friends and assistants, his ISK organization lived on after his death, even after being banned by the Nazi Regime in 1933. It is even claimed that Albert Einstein supported it. He's also credited with popularizing the Socratic method in his book ''Die sokratische Methode'' (''The Socratic Method''). Life Early life and education In Nelso ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gerhard Hessenberg
Gerhard Hessenberg (16 August 1874 – 16 November 1925) was a German mathematician who worked in projective geometry, differential geometry, and set theory. Career Hessenberg received his Ph.D. from the University of Berlin in 1899 under the guidance of Hermann Schwarz and Lazarus Fuchs. His name is usually associated with projective geometry, where he is known for proving that Desargues' theorem is a consequence of Pappus's hexagon theorem, and differential geometry where he is known for introducing the concept of a connection. He was also a set theorist: the Hessenberg sum and product of ordinals are named after him. However, Hessenberg matrices are named for Karl Hessenberg, a near relative. In 1908 Gerhard Hessenberg was an Invited Speaker of the International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Un ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Self-reference
Self-reference occurs in natural or formal languages when a sentence, idea or formula refers to itself. The reference may be expressed either directly—through some intermediate sentence or formula—or by means of some encoding. In philosophy, it also refers to the ability of a subject to speak of or refer to itself, that is, to have the kind of thought expressed by the first person nominative singular pronoun "I" in English. Self-reference is studied and has applications in mathematics, philosophy, computer programming, second-order cybernetics, and linguistics, as well as in humor. Self-referential statements are sometimes paradoxical, and can also be considered recursive. In logic, mathematics and computing In classical philosophy, paradoxes were created by self-referential concepts such as the omnipotence paradox of asking if it was possible for a being to exist so powerful that it could create a stone that it could not lift. The Epimenides paradox, 'All Cretans are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wiktionary
Wiktionary ( , , rhyming with "dictionary") is a multilingual, web-based project to create a free content dictionary of terms (including words, phrases, proverbs, linguistic reconstructions, etc.) in all natural languages and in a number of artificial languages. These entries may contain definitions, images for illustration, pronunciations, etymologies, inflections, usage examples, quotations, related terms, and translations of terms into other languages, among other features. It is collaboratively edited via a wiki. Its name is a portmanteau of the words ''wiki'' and ''dictionary''. It is available in languages and in Simple English. Like its sister project Wikipedia, Wiktionary is run by the Wikimedia Foundation, and is written collaboratively by volunteers, dubbed "Wiktionarians". Its wiki software, MediaWiki, allows almost anyone with access to the website to create and edit entries. Because Wiktionary is not limited by print space considerations, most of Wiktio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Henry Segerman
Henry Segerman (born 1979 in Manchester, UK) is an Associate Professor of mathematics at Oklahoma State University in Stillwater, Oklahoma who does research in three-dimensional geometry and topology, especially three-manifolds, triangulations and hyperbolic geometry. He was the first person to publish a book on mathematical 3D printing, and is also a recreational mathematician and mathematical artist with expertise in virtual reality.IVRPA Profile: Henry Segerman International Virtual Reality Professionals Association (IVRPA) His frequent collaborators include , |
Words
A word is a basic element of language that carries an objective or practical meaning, can be used on its own, and is uninterruptible. Despite the fact that language speakers often have an intuitive grasp of what a word is, there is no consensus among linguists on its definition and numerous attempts to find specific criteria of the concept remain controversial. Different standards have been proposed, depending on the theoretical background and descriptive context; these do not converge on a single definition. Some specific definitions of the term "word" are employed to convey its different meanings at different levels of description, for example based on phonological, grammatical or orthographic basis. Others suggest that the concept is simply a convention used in everyday situations. The concept of "word" is distinguished from that of a morpheme, which is the smallest unit of language that has a meaning, even if it cannot stand on its own. Words are made out of at least o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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