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Autological Word
An autological word (or homological word) expresses a property that it also possesses. For example, the word "word" is a word, the word "English" is (in) English, the word "writable" is writable, and the word " pentasyllabic" has five syllables. The opposite, a heterological word, does not apply to itself. For example, the word "palindrome" is not a palindrome, "unwritable" is writable, and "monosyllabic" has more than one syllable. 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 ''φ(M)'' be the word tha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Palindrome
A palindrome (Help:IPA/English, /ˈpæl.ɪn.droʊm/) is a word, palindromic number, number, phrase, or other sequence of symbols that reads the same backwards as forwards, such as ''madam'' or ''racecar'', the date "Twosday, 02/02/2020" and the sentence: "A man, a plan, a canal – Panama". The 19-letter Finnish language, Finnish word ''saippuakivikauppias'' (a soapstone vendor) is the longest single-word palindrome in everyday use, while the 12-letter term ''tattarrattat'' (from James Joyce in ''Ulysses (novel), Ulysses'') is the longest in English. The word ''palindrome'' was introduced by English poet and writer Henry Peacham (born 1578), Henry Peacham in 1638.Henry Peacham, ''The Truth of our Times Revealed out of One Mans Experience'', 1638p. 123 The concept of a palindrome can be dated to the 3rd-century BCE, although no examples survive. The earliest known examples are the 1st-century CE Latin acrostic word square, the Sator Square (which contains both word and senten ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linguistics
Linguistics is the scientific study of language. The areas of linguistic analysis are syntax (rules governing the structure of sentences), semantics (meaning), Morphology (linguistics), morphology (structure of words), phonetics (speech sounds and equivalent gestures in sign languages), phonology (the abstract sound system of a particular language, and analogous systems of sign languages), and pragmatics (how the context of use contributes to meaning). Subdisciplines such as biolinguistics (the study of the biological variables and evolution of language) and psycholinguistics (the study of psychological factors in human language) bridge many of these divisions. Linguistics encompasses Outline of linguistics, many branches and subfields that span both theoretical and practical applications. Theoretical linguistics is concerned with understanding the universal grammar, universal and Philosophy of language#Nature of language, fundamental nature of language and developing a general ... [...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 th ... [...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. Nelson subsequently became influential in both philosophy and mathematics, as his 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 Leonard Nelson was the son of law ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grelling–Nelson Paradox
The Grelling–Nelson paradox arises from the question of whether the term "non-self-descriptive" is self-descriptive. It was formulated in 1908 by Kurt Grelling and Leonard Nelson, and is sometimes mistakenly attributed to the German philosopher and mathematician Hermann Weyl thus occasionally called Weyl's paradox or Grelling's paradox. It is closely related to several other well-known paradoxes, in particular, the barber paradox and Russell's paradox. It is an antinomy, or a semantic self-referential paradox. 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 hyphen) and "monosy ... [...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 Mathemati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Metaplasm
A metaplasm is almost any kind of alteration, whether intentional or unintentional, in the pronunciation or the orthography of a word. The change may be phonetic only, such as pronouncing ''Mississippi'' as ''Missippi'' in English, or acceptance of a new word structure, such as the transformation from ''calidus'' in Latin to ''caldo'' (hot) in Italian. Orthographic metaplasms have been used in philosophy to advance humanity's conceptual terrain, such as when Derrida adapted Heidegger's Destruktion into deconstruction or the French term ''différence'' into différance. Changes at either level may or may not be recognized in standard spelling, depending on the orthographic traditions of the language in question. Originally the term referred to techniques used in Ancient Greek and Latin poetry, or processes in those languages' grammar. Sound change Many phonological changes found frequently in the natural development of languages are metaplasms: * Epenthesis, addition of a sou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Self-reference
Self-reference is a concept that involves referring to oneself or one's own attributes, characteristics, or actions. It can occur in language, logic, mathematics, philosophy, and other fields. In natural or formal languages, self-reference occurs 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, self-reference 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 b ... [...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 Wiktiona ... [...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 Vi Hart, Elisabetta Matsumoto and Saul Schleimer. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
