Bertrand du Guesclin: After fighting a duel with Sir Thomas Canterbury at the successful defense of the city of Rennes against an English siege in 1356–57, du Guesclin was awarded a pension by the Dauphin (the future king Charles V) in December 1357. Appointed captain of Pontorson, he remained in the service of…

Minna Canth was a novelist and dramatist, a late 19th-century leader of the revival of the Finnish vernacular and Realist movement. In 1863 she entered the seminary at Jyväskylä, where she married her teacher, J.F. Canth, in 1865. Widowed in 1879, with seven children, she went into business at

Minna Canth was a novelist and dramatist, a late 19th-century leader of the revival of the Finnish vernacular and Realist movement. In 1863 she entered the seminary at Jyväskylä, where she married her teacher, J.F. Canth, in 1865. Widowed in 1879, with seven children, she went into business at

mushroom: Other mushrooms: The cantharelloid fungi (Cantharellus and its relatives) are club-, cone-, or trumpet-shaped mushroomlike forms with an expanded top bearing coarsely folded ridges along the underside and descending along the stalk. Examples include the highly prized edible chanterelle (C. cibarius) and the horn-of-plenty mushroom (Craterellus cornucopioides). Puffballs…

fungus: Annotated classification: Order Cantharellales (incertae sedis; not placed in any subclass) Saprotrophic; basidia have unusual shapes; hyphae may be thin-walled or thick-walled, with or without clamp connections; example genera include Cantharellus, Botryobasidium, Craterellus, and Tulasnella. Order Corticiales (incertae sedis; not placed in any subclass)

mushroom: Other mushrooms: The cantharelloid fungi (Cantharellus and its relatives) are club-, cone-, or trumpet-shaped mushroomlike forms with an expanded top bearing coarsely folded ridges along the underside and descending along the stalk. Examples include the highly prized edible chanterelle (C. cibarius) and the horn-of-plenty mushroom (Craterellus cornucopioides). Puffballs…

mushroom: Other mushrooms: The cantharelloid fungi (Cantharellus and its relatives) are club-, cone-, or trumpet-shaped mushroomlike forms with an expanded top bearing coarsely folded ridges along the underside and descending along the stalk. Examples include the highly prized edible chanterelle (C. cibarius) and the horn-of-plenty mushroom (Craterellus cornucopioides). Puffballs…

chanterelle, Highly prized, fragrant, edible mushroom (Cantharellus cibarius) in the order Cantharellales (phylum Basidiomycota). It is bright yellow in colour and is found growing on forest floors in summer and autumn. Its similarity to the poisonous jack-o-lantern (Clitocybe illudens, order

soldier beetle, any member of the approximately 3,500 species of the widely distributed insect family Cantharidae (order Coleoptera). These slender, soft-bodied beetles are brown or black and trimmed like a soldier’s uniform—with red, yellow, or orange. The adults range between 5 and 15 mm (0.2 and

aphrodisiac: These are, principally, cantharides and yohimbine, both of which stimulate sexual arousal by irritating the urinary tract when excreted. Cantharides, or cantharidin, consists of the broken dried remains of the blister beetle (q.v.) Lytta vesicatoria. It has been a traditional sexual stimulant fed to male livestock to facilitate…

aphrodisiac: These are, principally, cantharides and yohimbine, both of which stimulate sexual arousal by irritating the urinary tract when excreted. Cantharides, or cantharidin, consists of the broken dried remains of the blister beetle (q.v.) Lytta vesicatoria. It has been a traditional sexual stimulant fed to male livestock to facilitate…

blister beetle: …species Lytta vesicatoria, commonly called Spanish fly. Cantharidin is used medically as a topical skin irritant to remove warts. In the past, when inducing blisters was a common remedy for many ailments, cantharidin was commonly used for this purpose. It was also a major ingredient in so-called love potions. Blister…

kantharos, drinking cup in Attic Greek pottery from the period of the red-figure and black-figure styles. The kantharos is in the form of a deep cup, with loop-shaped handles arising from the bottom of the body and extending high above the

puffer: …fishes, which comprise the genus Canthigaster and the family Canthigasteridae, are found throughout the world. They are small fishes with rather long, pointed snouts and, unlike the puffers, inconspicuous nostrils. They are brightly coloured and no more than about 20 centimetres long. Like some puffers, they are sometimes kept in…

human eye: The eyelids: …the nose is the inner canthus, and the other is the outer canthus. The lid may be divided into four layers: (1) the skin, containing glands that open onto the surface of the lid margin, and the eyelashes; (2) a muscular layer containing principally the orbicularis oculi muscle, responsible for…

carnival song, late 15th- and early 16th-century part song performed in Florence during the carnival season. The Florentines celebrated not only the pre-Lenten revelry but also the Calendimaggio, which began on May 1 and ended with the Feast of St. John on June 24. An essential part of the

Giovanni Pascoli: …volume, usually considered his best, Canti di Castelvecchio (1903, definitive ed., 1907; “Songs of Castelvecchio”), a collection of moving evocations of his sad childhood and celebrations of nature and family life. Subsequent volumes include the classically inspired and more formal Poemi conviviali (1904) and two collections influenced by Virgil’s Georgics,…

Luigi Dallapiccola: …basis for much of his Canti di liberazione (1955; Songs of Liberation), a triptych for chorus and orchestra, celebrating the liberation of Italy from Fascist control. An opera, Volo di notte (Night Flight), was first performed in Florence in 1940.

Luigi Dallapiccola: …triptych Canti di prigionia (1938–41; Songs of Prison) marked him as a mature composer; this work, for chorus with an orchestra of percussion, harps, and pianos, was a protest against Fascist doctrine and was based in part on the chant “Dies Irae” (“Day of Wrath”) from the mass for the…

Dino Campana: …intense collection Canti orfici (1914; Orphic Songs). A strain of nihilism persists through the conflicting attitudes of his fragmentary poems; they alternate erratically between hallucination and reality, love and fear, Christian and pagan beliefs, at times achieving stunning clarity of expression. His Lettere (1958; “Letters”), written in 1916–18, reveal his…

Italian literature: Opposing movements: The Poems of Leopardi), first published in 1831. Some were patriotic and were once very popular; but the most memorable came from deeper lyrical inspiration. Among them were “L’infinito,” a meditation on infinity; “A Silvia,” on the memory of a girl who died when he…

canticle, (from Latin canticulum, diminutive of canticum, “song”), a scriptural hymn text that is used in various Christian liturgies and is similar to a psalm in form and content but appears apart from the book of Psalms. In the Old Testament (Hebrew Bible) there are at least a dozen such hymns

A Canticle for Leibowitz, post-apocalyptic science fiction novel written by Walter M. Miller, Jr., that was published in 1960. The only novel written by Miller that was published during his lifetime, it is considered a classic of the genre. Its themes of Christian theology and the tension between

St. Francis of Assisi: The Franciscan rule of St. Francis of Assisi: In his “Canticle of the Creatures” (less properly called by such names as the “Praises of Creatures” or the “Canticle of the Sun”), he referred to “Brother Sun” and “Sister Moon,” the wind and water, and even “Sister Death.” He nicknamed his long and painful illnesses his…

Song of Solomon, an Old Testament book that belongs to the third section of the biblical canon, known as the Ketuvim, or “Writings.” In the Hebrew Bible the Song of Solomon stands with Ruth, Lamentations, Ecclesiastes, and Esther and with them makes up the Megillot, five scrolls that are read on

Magnificat, in Christianity, the hymn of praise by Mary, the mother of Jesus, found in the Gospel According to Luke. The Magnificat has been incorporated into the liturgical services of the Western churches (at vespers) and of the Eastern Orthodox churches (at the morning services). In Scripture,

St. Francis of Assisi: The Franciscan rule of St. Francis of Assisi: In his “Canticle of the Creatures” (less properly called by such names as the “Praises of Creatures” or the “Canticle of the Sun”), he referred to “Brother Sun” and “Sister Moon,” the wind and water, and even “Sister Death.” He nicknamed his long and painful illnesses his…

St. Francis of Assisi: The Franciscan rule of St. Francis of Assisi: In his “Canticle of the Creatures” (less properly called by such names as the “Praises of Creatures” or the “Canticle of the Sun”), he referred to “Brother Sun” and “Sister Moon,” the wind and water, and even “Sister Death.” He nicknamed his long and painful illnesses his…

Leo Sowerby: His Canticle of the Sun for chorus and orchestra (1944), based on Matthew Arnold’s translation of a canticle by St. Francis, won the Pulitzer Prize in 1946. His orchestral works include tone poems, notably Prairie (1929), and four symphonies (1921, 1927, 1940, and 1947). He also…

Spanish literature: The Generation of 1927: …lifelong poetic effort, Cántico (Cántico: A Selection), first published in 1928 and repeatedly enlarged in successive editions, constitutes a disciplined hymn to the joys of everyday reality. Later works (Clamor [1957–63; “Clamour”] and Homenaje [1967; “Homage”]) displayed keener awareness of suffering and disorder.

Ernesto Cardenal: …of Victory), Cántico cósmico (1989; Cosmic Canticles), Pluriverse: New and Selected Poems (2009), and El Origen de las Especies, y Otros Poemas (2011; Origin of the Species, and Other Poems). He won numerous awards and honours.

St. Francis of Assisi: The Franciscan rule of St. Francis of Assisi: In his “Canticle of the Creatures” (less properly called by such names as the “Praises of Creatures” or the “Canticle of the Sun”), he referred to “Brother Sun” and “Sister Moon,” the wind and water, and even “Sister Death.” He nicknamed his long and painful illnesses his…

Song of Solomon, an Old Testament book that belongs to the third section of the biblical canon, known as the Ketuvim, or “Writings.” In the Hebrew Bible the Song of Solomon stands with Ruth, Lamentations, Ecclesiastes, and Esther and with them makes up the Megillot, five scrolls that are read on

cantiga, genre of 13th-century Spanish monophonic, or unison, song, often honouring the Virgin Mary. The most famous collection is a manuscript, the Cantigas de Santa María, compiled by King Alfonso X the Wise of Castile and Leon in the second half of the century and preserved in three manuscript

Portuguese literature: Poetry: …singing of problems of love), cantigas de amigo (“songs of the lover”; a male poet singing in a female voice to express a wide range of predicaments of love), and cantigas de escárnio e maldizer (“songs of mockery and vilification”). This body of lyrics shows the vitality of a school…

Portuguese literature: Poetry: …to the major categories of cantigas de amor (“songs of love”; a male voice singing of problems of love), cantigas de amigo (“songs of the lover”; a male poet singing in a female voice to express a wide range of predicaments of love), and cantigas de escárnio e maldizer (“songs…

Portuguese literature: Poetry: …of predicaments of love), and cantigas de escárnio e maldizer (“songs of mockery and vilification”). This body of lyrics shows the vitality of a school of poetry in Galician-Portuguese, an early dialect spoken in Galicia and the north of Portugal. Lyrics of this school were inspired by the sophisticated Provençal…

Spain: Castilian institutions, society, and culture: The Cantigas de Santa María (“Songs to the Virgin”) is a collection of more than 400 poems written in Galician, a language considered appropriate for lyric poetry; the poems are generally assumed to be the work of Alfonso himself, and many of them constitute a royal…

Wheaton: Cantigny, a 500-acre (200-hectare) recreation area, includes gardens, golf courses, the First Division Museum (military history), and the Robert R. McCormick Museum (1896), a home built by newspaper publisher Joseph Medill. Inc. village, 1859; city, 1890. Pop. (2000) 55,416; (2010) 52,894.

moccasin: …moccasin (Agkistrodon piscivorus) or the Mexican moccasin (A. bilineatus). Both are pit vipers (subfamily Crotalinae), so named because of the characteristic sensory pit between each eye and nostril.

cantilena, in late medieval and early Renaissance music, term for certain vocal forms as they were known in the 15th century; also a musical texture used widely in both secular and sacred compositions of that century. Cantilena style is characterized by a predominant vocal top line supported by

cantilever, beam supported at one end and carrying a load at the other end or distributed along the unsupported portion. The upper half of the thickness of such a beam is subjected to tensile stress, tending to elongate the fibres, the lower half to compressive stress, tending to crush them.

bridge: Cantilever: …central span rests on the cantilevered arms extending from the outer spans; it carries vertical loads like a simply supported beam or a truss—that is, by tension forces in the lower chords and compression in the upper chords. The cantilevers carry their loads by tension in the upper chords and…

cantilever bridge, bridge that uses projecting beams (called cantilevers)—each of which is supported only at one end—to form or underpin the main span. A cantilever bridge is generally made with three spans, of which the outer spans are cantilevered—anchored at opposite ends to the opposite banks

retaining wall: The cantilever retaining wall has cantilever footings, which have tie beams balancing the asymmetrical load. A counterfort retaining wall is a cantilever wall with counterforts, or buttresses, attached to the inside face of the wall to further resist lateral thrust. Some common materials used for retaining…

cantillation, in music, intoned liturgical recitation of scriptural texts, guided by signs originally devised as textual accents, punctuations, and indications of emphasis. Such signs, termed ecphonetic signs, appear in manuscripts of the 7th–9th century, both Jewish and Christian (Syrian,

Richard Cantillon was an Irish economist and financier who wrote one of the earliest treatises on modern economics. Cantillon was an Irishman of Norman origins and Jacobite connections who spent much of his life in France. He took over the bankrupt banking business of an uncle of the same name in

Saint Thomas de Cantelupe ; canonized 1320, feast day October 3) was a reformist, educator, English church prelate, bishop, and defender of episcopal jurisdiction who played an important role in the Barons’ War. Thomas was of noble birth; after being ordained at Lyon, c. 1245, he continued his

Saint Thomas de Cantelupe ; canonized 1320, feast day October 3) was a reformist, educator, English church prelate, bishop, and defender of episcopal jurisdiction who played an important role in the Barons’ War. Thomas was of noble birth; after being ordained at Lyon, c. 1245, he continued his

encyclopaedia: Special interests: 1228–44) of the Dominican friar Thomas de Cantimpré. His aim was that of St. Augustine: to unite in a single volume the whole of human knowledge concerning the nature of things, particularly the nature of animals, with a view toward using it as an introduction to theology.

Cantinflas was one of the most popular entertainers in the history of Latin-American cinema. An internationally known clown, acrobat, musician, bullfighter, and satirist, he was identified with the comic figure of a poor Mexican slum dweller, a pelado, who wears trousers held up with a rope, a

heraldry: The nature and origins of heraldic terminology: Second, punning, or canting, arms are very common as, for example, trumpets for Trumpington, or a spear for Shakespeare. It is notable, however, that many armorial allusions that were formerly obvious now require research for elucidation. Other allusions have been lost entirely. Third, in grants of arms to…

Gregor Aichinger: His Cantiones Ecclesiasticae (1607) was one of the earliest German examples of the use of basso continuo.

William Byrd: Life: …in that year—a collection of Cantiones sacrae dedicated to the queen; of the 34 motets, Tallis contributed 16 and Byrd 18.

Cantique de Jean Racine, Op. 11, choral work by Gabriel Fauré, composed for four-part chorus and organ in 1865 and revised for chorus and chamber orchestra in 1906. The words sung by the chorus (“Verbe égal au Très-Haut”) are a translation by 17th-century French poet Jean Racine of a Latin hymn,

Nancy Huston: …in English, under the title Plainsong, before translating it into French. Her subsequent novels included Virevolte (1994; Slow Emergencies), L’Empreinte de l’ange (1998; The Mark of the Angel), Dolce agonia (2001; Eng. trans. Dolce Agonia), and Danse noire (2013; Black Dance). She won the Prix Femina for

Celtic literature: The three major periods of Breton literature: A 17th-century collection, Cantiques bretons (1642), names several Breton airs. All the remaining works of the middle period were religious and mostly in verse. Three mystery plays were probably the most significant products of the period: Buez santez Nonn (“Life of St. Nonn”), Burzud bras Jesuz (“The Great…

canto, major division of an epic or other long narrative poem. An Italian term, derived from the Latin cantus (“song”), it probably originally indicated a portion of a poem that could be sung or chanted by a minstrel at one sitting. Though early oral epics, such as Homer’s, are divided into

Manuel Mujica Láinez: Canto a Buenos Aires (1943), his first literary success, is a poetic chronicle of the foundation and development of the Argentine capital. He solidified his reputation in Argentina with a series of novels known as his Buenos Aires cycle; Los idolos (1953; “The Idols”), La…

carnival song, late 15th- and early 16th-century part song performed in Florence during the carnival season. The Florentines celebrated not only the pre-Lenten revelry but also the Calendimaggio, which began on May 1 and ended with the Feast of St. John on June 24. An essential part of the

Juan Felipe Herrera: Poetry and career: …several picture books for children, Calling the Doves/El canto de las palomas (1995), a bilingual telling of the author’s nomadic childhood among migrant farmworkers. It won the 1997 Ezra Jack Keats Book Award for children’s literature written by new children’s book authors. His books of poetry from that period include…

Canto general, an epic poem of Latin America by Pablo Neruda, published in two volumes in 1950. Mixing his communist sympathies with national pride, Neruda depicts Latin American history as a grand, continuous struggle against oppression. Comprising more than 300 poems, Canto general is arranged

Gabriele D’Annunzio: The poems in Canto novo (1882; “New Song”) had more individuality and were full of exuberance and passionate, sensuous descriptions. The autobiographical novel Il piacere (1889; The Child of Pleasure) introduces the first of D’Annunzio’s passionate Nietzschean superman heroes; another appears in L’innocente (1892; The Intruder). D’Annunzio had…

Alan Lomax: His work in cantometrics (the statistical analysis of singing styles correlated with anthropological data), which he developed with Victor Grauer, is the most comprehensive study of folk song as yet undertaken. Cantometrics: A Handbook and Training Method appeared in 1976. Lomax also wrote and directed the documentary The…

Alan Lomax: Cantometrics: A Handbook and Training Method appeared in 1976. Lomax also wrote and directed the documentary The Land Where the Blues Began (1985). In 1997 the Alan Lomax Collection debuted on Rounder Records. The series featured more than 100 albums of music recorded by Lomax.

Canton, town (township), Norfolk county, eastern Massachusetts, U.S., lying just south of Boston along the Neponset River. Settled in 1650, it was known by its Algonquian name, Punkapoag, and was part of Stoughton. Separately incorporated in 1797, it was renamed because of the local belief that the

heraldry: Ordinaries: …one-fourth of the shield; the canton, smaller than the quarter, is one-third of the chief. Checky, or chequy, describes the field or charge divided into squares of two tinctures, like a checkerboard. Billets are oblong figures. If their number exceeds 10 and they are irregularly placed, the field is described…

canton, political subdivision in France, Switzerland, and other European countries. In France the canton, a subdivision of the arrondissement, is a territorial division rather than a genuine unit of local government; it is only a convenient administrative subdivision for purposes of elections, tax

Canton, city, seat (1867) of Lincoln county, southeastern South Dakota, U.S. It lies along the Big Sioux River at the Iowa border, about 20 miles (30 km) southeast of Sioux Falls. It was founded in 1866 and was first called Commerce City but was renamed (1868) by settlers who believed that its

Canton, city, seat (1808) of Stark county, northeastern Ohio, U.S. The city lies approximately 60 miles (100 km) south-southeast of Cleveland. It is the focus of a metropolitan area that includes the cities of North Canton and Massillon and the village of East Canton. Laid out in 1805, it was

Canton, city, seat (1834) of Madison county, central Mississippi, U.S. The city lies on a low divide between the Pearl and Big Black rivers 20 miles (32 km) north of Jackson. Poultry processing and the manufacture of office furniture are the main industries. It is a market centre for an

Canton, city, Fulton county, west-central Illinois, U.S. It lies in the Illinois River valley between the Illinois and Spoon rivers, about 25 miles (40 km) southwest of Peoria. Founded in 1825 by Isaac Swan, a native of New York, it was named in the belief that it was diametrically opposite

Guangzhou, city, capital of Guangdong sheng (province), southern China. Its city centre lies near the head of the Pearl River (Zhu Jiang) Delta, more than 90 miles (145 km) inland from the South China Sea. Because of its position at the meeting point of inland rivers and the sea, it has long been

Kanton Atoll, largest and northernmost of the Phoenix Islands, a coral group, part of Kiribati, in the west-central Pacific Ocean. Located approximately 1,600 miles (2,600 km) southwest of Hawaii, Kanton’s circular coral reef encloses a lagoon extending 7 miles by 3 miles (11 km by 5 km). Sighted

Pearl River Delta, extensive low-lying area formed by the junction of the Xi, Bei, Dong, and Pearl (Zhu) rivers in southern Guangdong province, China. It covers an area of 2,900 square miles (7,500 square km) and stretches from the city of Guangzhou (Canton) in the north to the Macau Special

Canton enamel, Chinese painted enamel, so named for the principal place of its manufacture, Canton. Painted-enamel techniques were originally developed in Limoges, Fr., from about 1470. These techniques were introduced into China in the 18th century, probably by French missionaries. This is

ginger, (Zingiber officinale), herbaceous perennial plant of the family Zingiberaceae, probably native to southeastern Asia, or its pungent aromatic rhizome (underground stem) used as a spice, flavouring, food, and medicine. Ginger’s generic name, Zingiber, is derived from the Greek zingiberis,

Guangdong: Drainage: The Pearl River itself, extending southward from Guangzhou, receives the Dong River and opens into its triangular estuary that has Macau (west) and Hong Kong (east) at its mouth. Entirely rain-fed, these rivers are subject to extreme seasonal fluctuations, and they collect so much water that,…

Canton system, trading pattern that developed between Chinese and foreign merchants, especially British, in the South China trading city of Guangzhou (Canton) from the 17th to the 19th century. The major characteristics of the system developed between 1760 and 1842, when all foreign trade coming

Guangzhou: Cultural life: The tall, slender Canton Tower, constructed for both television broadcasting and recreational use, opened in 2010 on the south bank of the Pearl River in Haizhu district. Designed with a spiraling lattice exterior frame, the tower and its antenna have a total height of 1,969 feet (600 metres).…

Huang Xing: …participating in the action, the Guangzhou Uprising, one of the most celebrated events in Chinese revolutionary history, failed. On Oct. 10, 1911, a group of revolutionary-army officers in the central Chinese city of Wuchang began a revolt that soon spread to all parts of South China. With Sun Yat-sen in…

Canton: The Canton Viaduct, a stone arch bridge that spans the Neponset River, was constructed in 1835 as part of the rail line connecting Boston and Providence, Rhode Island, and it remained in use in the 21st century. The town is mainly residential. Services account for a…

Nanking porcelain: …polychrome porcelain known as “Canton ware” was actually produced in white at Nanking and sent to Canton for painting. English potters extensively copied and adapted Nanking decoration.

John Canton was a British physicist and teacher. The son of a weaver, Canton became the clerk to the master of a school in London in 1737; he succeeded the master as teacher in 1745 and ran the school himself until his death in 1772. Canton’s invention of a new way to make artificial magnets helped

Eric Cantona is a French football (soccer) player who was one of the sport’s biggest stars in the 1990s and is best known for his key role in reviving the English powerhouse club Manchester United and for his temperamental play. As a child, Cantona played for a well-regarded youth team based

Eric Cantona is a French football (soccer) player who was one of the sport’s biggest stars in the 1990s and is best known for his key role in reviving the English powerhouse club Manchester United and for his temperamental play. As a child, Cantona played for a well-regarded youth team based

Cantonese language, variety of Chinese spoken by more than 55 million people in Guangdong and southern Guangxi provinces of China, including the important cities of Canton, Hong Kong, and Macau. Throughout the world it is spoken by some 20 million more. In Vietnam alone, Cantonese (Yue) speakers

Chinese painting: Painting and printmaking: …turn gave rise to a Cantonese, or Lingnan, regional style that incorporated Euro-Japanese characteristics. Although the new style did not produce satisfying or lasting solutions, it was a significant harbinger and continued to thrive in Hong Kong, practiced by such artists as Zhao Shao’ang.

Yangon: …of the city, called the Cantonment, was planned by the British in 1852 and is laid out on a system of blocks, each 800 by 860 feet (245 by 262 metres), intersected regularly by streets running north–south and east–west. As Yangon’s population increased in the 20th century, new settlements were…

Eastern Townships, region in southeastern Quebec, Canada, between the St. Lawrence lowlands and the U.S.-Canadian border and centred on Sherbrooke. It extends from Granby in the southwest to Lac-Mégantic in the southeast and from Drummondville in the northwest to the Maine border in the northeast.

cantor, in Judaism and Christianity, an ecclesiastical official in charge of music or chants. In Judaism the cantor, or ḥazzan, directs liturgical prayer in the synagogue and leads the chanting. He may be engaged by a congregation to serve for an entire year or merely to assist at the ceremonies of

Cantor’s theorem, in set theory, the theorem that the cardinality (numerical size) of a set is strictly less than the cardinality of its power set, or collection of subsets. In symbols, a finite set S with n elements contains 2n subsets, so that the cardinality of the set S is n and its power set

set theory: Cardinality and transfinite numbers: The so-called Cantor paradox, discovered by Cantor himself in 1899, is the following. By the unrestricted principle of abstraction, the formula “x is a set” defines a set U; i.e., it is the set of all sets. Now P(U) is a set of sets and so P(U)…

Cantor’s theorem, in set theory, the theorem that the cardinality (numerical size) of a set is strictly less than the cardinality of its power set, or collection of subsets. In symbols, a finite set S with n elements contains 2n subsets, so that the cardinality of the set S is n and its power set

Eddie Cantor was an American comedian and star of vaudeville, burlesque, the legitimate stage, radio, and television. Cantor was cared for by his grandmother on New York City’s Lower East Side when he was orphaned at age two. From early childhood he clowned and sang for coins on street corners, and

Eric Cantor is an American Republican politician who was a representative from Virginia in the U.S. House of Representatives (2001– 14), where he served as minority whip (2009–11) and majority leader (2011–14). Cantor grew up in a Jewish family in Richmond, Virginia, where his father owned a

Georg Cantor was a German mathematician who founded set theory and introduced the mathematically meaningful concept of transfinite numbers, indefinitely large but distinct from one another. Cantor’s parents were Danish. His artistic mother, a Roman Catholic, came from a family of musicians, and his

Georg Cantor was a German mathematician who founded set theory and introduced the mathematically meaningful concept of transfinite numbers, indefinitely large but distinct from one another. Cantor’s parents were Danish. His artistic mother, a Roman Catholic, came from a family of musicians, and his

Moritz Benedikt Cantor was a German historian of mathematics, one of the greatest of the 19th century. Cantor spent his career at the University of Heidelberg, where he began as a tutor in 1853. His first important book was Mathematische Beiträge zum Kulturleben der Völker (1863; “Mathematical

Donatello: Early career: …in Santa Croce and the Cantoria (the singer’s pulpit) in the Duomo (now in the Museo dell’Opera del Duomo) show a vastly increased repertory of forms derived from ancient art, the harvest of Donatello’s long stay in Rome (1430–33). His departure from the standards of Brunelleschi produced an estrangement between…