21. Alphabethisches Namensverzeichnis Translate this page bolzano bernhard Bombardi Ron Bonaventura Cavalieri Bondy Francois Bonk SigmundBonnefoy Yves Bothner Roland Botton Alain de Bourdieu Pierre Borges Jorge L. http://www.philosophers-today.com/register.html

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23. CATHOLIC ENCYCLOPEDIA: Bernhard Bolzano Austrian mathematician and philosopher, b. at Prague, 5 October, 1781; d. 18 December, 1848. http://www.newadvent.org/cathen/02643c.htm

Home Encyclopedia Summa Fathers ... B > Bernhard Bolzano A B C D ... Z Bernhard Bolzano Austrian mathematician and philosopher, b. at Prague, 5 October, 1781; d. 18 December, 1848. As a student he devoted himself chiefly to mathematics with marked success. Against the wish of his father, he entered the ecclesiastical state and was ordained in 1805. In the same year he was appointed professor of the philosophy of religion in the University of Prague. His lectures and discourses were strongly tinged with rationalism , and it was not long before he was denounced to the ecclesiastical authorities. Through the personal intervention of the Prince-Archbishop Salm-Salm of Prague, he retained his professorship until 1820, when the long-threatened dismissal was suddenly put into effect in consequence of disorders that occurred in the seminary of Leitmeritz then under the direction of Dr. Fessl, who, as a disciple and friend of Bolzano, was strongly imbued with the latter's rationalizing spirit. Bolzano spent the remainder of his life in studious retirement, first on the estate of his friend Johann Hoffmann, at Techobuz, near Prague, and later in the house of his brother at Prague. A small pension, and the generosity of Count Leo Thun, relieved him of all monetary care. Bolzano was always a loyal son of the Catholic Church. There is, however, a strong rationalizing tendency in his writings on doctrinal subjects, and his refusal to retract several propositions taken from his printed works justified his dismissal from the University of Prague. Bolzano's contributions to the science of mathematics are of the highest order. In 1804 he published a theory of parallel lines which anticipated Legendre's well-known theory. He shares with

24. 10.4. Bolzano, Bernhard (1781-1848) bolzano, bernhard (17811848). IRA. Bernard bolzano was a philosopher andmathematician whose contributions were not fully recognized until long after his http://www.shu.edu/projects/reals/history/bolzano.html

10.4. Bolzano, Bernhard (1781-1848) IRA Bernard Bolzano was a philosopher and mathematician whose contributions were not fully recognized until long after his death. He is especially important in the fields of logic, geometry and the theory of real numbers. Bernardus Placidus Johann Nepomuk Bolzano was born in Prague, Bohemia (now part of the Czech Republic), on October 5, 1781. His father was an art dealer and both parents were very pious Christians. Coming from such a religious household, Bernard grew up with a high moral code and a belief in holding to his principles. It was this background that attracted him to the Church and the priestly life. Bolzano entered the University of Prague in 1796, where he studied philosophy, mathematics and physics. After graduation, he joined the theology department at the university and was ordained a Catholic priest in 1804. Despite his dedication to the Church, he did not give up his mathematical interests and was at one time recommended for the chair of the mathematics department. The year 1805 started a struggle that would dominate the rest of his life. In a political move, the Austrian-Hungarian Empire set up a chair in the philosophy of religion at each university. The empire was comprised of many different ethic groups that were prone to nationalistic movements for independence. Spurred by the "free thinking" of the recent French Revolution, these movements were becoming a serious problem to holding the empire together. The creation of the chair was part of a greater plan to support the Catholic Church. The authorities considered the Church to be conservative and hoped it would control the liberal thinking of the time. Bolzano was appointed to the position at the University of Prague. As far as the authorities were concerned, this was a bad idea. Bolzano, though a priest, was a "free thinker" himself and was not afraid to express his beliefs in Czech nationalism.

25. Bolzano, Bernhard (1781-1848) -- From Eric Weisstein's World Of Scientific Biogr bolzano, bernhard (17811848) bolzano discovered a procedure for constructinga continuous function not differentiable at any point published in http://scienceworld.wolfram.com/biography/Bolzano.html

Branch of Science Mathematicians Nationality Czech Bolzano, Bernhard (1781-1848) Bohemian priest and mathematician who made definitions of a limit derivative continuity and convergence as had Cauchy . (Bohemia was part of the Austrian Habsburg domain and is now part of the Czech Republic.) Bolzano discovered a procedure for constructing a continuous function not differentiable at any point published in Paradoxien des Unendlichen (1850). He also came close to the modern concept of orders of infinity. Bolzano helped establish that sound mathematics rests on rigorous proof rather than intuition. Cauchy Additional biographies: MacTutor (St. Andrews)

26. Eric Weisstein's World Of Scientific Biography What's New November 11, 2003. bolzano, bernhard (17811848) (modified). November 7, 2003.bolzano, bernhard (1781-1848) (modified) http://scienceworld.wolfram.com/biography/whatsnew/

November 2003 November 28, 2003 Germain, Sophie (1776-1831) (modified) November 11, 2003 Bolzano, Bernhard (1781-1848) (modified) November 7, 2003 Bolzano, Bernhard (1781-1848) (modified) Eric W. Weisstein

27. Escuela De Matemáticas - UCV Translate this page bolzano, bernhard. bernhard bolzano, nacido en Oct. 5, 1781, muerto en Dic.18, 1848, fue un filósofo checo, matemático, y teólogo quien hizo contribuciones http://euler.ciens.ucv.ve/matematicos/bolzano.html

Los Matemáticos mas famosos de todos los Tiempos: Niels Henrik Abel Arquímedes Banach, Stefan Bessel, Friedrich ... Bolzano, Bernhard Bernhard Bolzano, nacido en Oct. 5, 1781, muerto en Dic. 18, 1848, fue un filósofo checo, matemático, y teólogo quien hizo contribuciones significantes tanto en la matemática como en la teoría del conocimiento. Un sacerdote del catolicismo, fue puesto (1805) como máximo exponente de la filosofía y la religión en Praga. Sin embargo en 1819 fue Bolzano suspendido de su posición a causa de presión del gobierno austríaco, los cuales se oponían a su pacifismo y su expresión de la justicia económica. Aunque algunos de sus libros tenían que ser publicados fuera de Austria a causa de la censura del gobierno, continuó escribiendo y jugó un papel importante en la vida intelectual de su país. Entre los trabajos importantes de Bolzano están Rein Analytischer Beweis (Una Prueba Pura Analítica, 1817), que contiene un esfuerzo exitoso de librar al cálculo del concepto del infinitesimal; Wissenschaftslehre (1837), un esfuerzo de completar la teoría de la ciencia y el conocimiento; y el póstumo Paradoxien des Unendlichen (1851; Ingl. Paradojas del infinito,1950).La Teoría Matemática Infinita de Bolzano anticipa a la Teoría de los Conjuntos Infinitos de Cantor. Su distinción entre psicología y lógica influyeron en Edmund Husserl y los propuestos más adelante de PHENOMENOLOGY.

28. Bolzano, Bernhard. bolzano, bernhard. bernhard bolzano, b. Oct. 5, 1781, d. Dec. 18, 1848, was aCzech philosopher, mathematician, and theologian who made significant http://euler.ciens.ucv.ve/English/mathematics/bolzano.html

Bolzano, Bernhard. Bernhard Bolzano, b. Oct. 5, 1781, d. Dec. 18, 1848, was a Czech philosopher, mathematician, and theologian who made significant contributions to both mathematics and the theory of knowledge. A Roman Catholic priest, he was appointed (1805) to the chair of philosophy and religion at Prague. In 1819, however, Bolzano was suspended from his position because of pressure from the Austrian government, which opposed his pacifism and his expressed concerns with economic justice. Although some of his books had to be published outside Austria because of government censorship, he continued to write and to play an important role in the intellectual life of his country. Among Bolzano's important works are Rein analytischer Beweis (Pure Analytical Proof, 1817), which contains an effort to free calculus successfully from the concept of the infinitesimal; Wissenschaftslehre (1837; Eng. trans. and abridgment, Theory of Science, 1972), an attempt at a complete theory of science and knowledge; and the posthumous Paradoxien des Unendlichen (1851; Eng. trans., Paradoxes of the Infinite, 1950). Bolzano's theories of mathematical infinity anticipated Georg CANTOR's theory of infinite sets (see SET THEORY). His distinction between psychology and logic influenced Edmund HUSSERL and later proponents of PHENOMENOLOGY. Author: Pete A. Y. Gunter

29. Bolzano, Bernhard --  Encyclopædia Britannica bolzano, bernhard Bohemian mathematician and theologian who provided a moredetailed proof for the binomial theorem in 1816 and suggested the means of http://www.britannica.com/eb/article-9080527

Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Bernhard Bolzano Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Bolzano, Bernhard  Encyclopædia Britannica Article Page 1 of 1 Bernhard Bolzano born , Oct. 5, 1781, Prague, Bohemia, Austrian Habsburg domain [now in Czech Republic] died Dec. 18, 1848, Prague Bohemian mathematician and theologian who provided a more detailed proof for the binomial theorem in 1816 and suggested the means of distinguishing between finite and infinite classes. Bolzano, Bernhard...

30. MSN Encarta - Bolzano, Bernhard bolzano, bernhard (17811848), Czech mathematician and philosopher, who was also a Other Features from Encarta. Search Encarta for bolzano, bernhard http://encarta.msn.com/encyclopedia_761556504/Bolzano_Bernhard.html

MSN Home My MSN Hotmail Shopping ... Sign In Web Search: Encarta Subscriber Sign In Help Home ... Upgrade your Encarta Experience Search Encarta Subscription Article MSN Encarta Premium: Get this article, plus 60,000 other articles, an interactive atlas, dictionaries, thesaurus, articles from 100 leading magazines, homework tools, daily math help and more for $4.95/month or $29.95/year (plus applicable taxes.) Learn more. This article is exclusively available for MSN Encarta Premium Subscribers. Already a subscriber? Sign in above. Bolzano, Bernhard Bolzano, Bernhard (1781-1848), Czech mathematician and philosopher, who was also a Roman Catholic priest. Born in Prague, Bolzano became a priest in... Want more Encarta? Become a subscriber today and gain access to: Daily Math Help Literature Guides Researcher Tools Paper-Writing Guides 60,000 + articles Interactive Atlas Magazine Center Find more about Bolzano, Bernhard from Other Features from Encarta Search Encarta for Bolzano, Bernhard © 2005 Microsoft MSN Privacy Legal Advertise Feedback ... Help

31. BOLZANO, BERNHARD bolzano, bernhard—logician, mathematician, and philosopher, b. October 5, 1781in Prague, d. December 18, 1848 in Prague. http://www.kul.lublin.pl/efk/angielski/hasla/b/Bolzano.html

BOLZANO, Bernhard In 1805 he defended his doctorate in mathematics ( ). He was ordained a priest and was appointed to the newly created chair of the philosophy of religion at Karol University in Prague. In 1819 because of an accusation of heresy and his stated politically unorthodox views, he was dismissed from the position. Until 1841 he lived in south Czech territory on the estate of his Maecenas and friend A. Hoffmann. During this time he wrote his most important works: Wissenschaftslehre , part of , which was never completed, and Paradoxien des Unendlichen . Seven years before his death he returned to Prague where he directed the philosophical-mathematical section of the Czech Academy of Sciences. Erbauungsreden (I, Pr 1813, Sulzbach 1839 , repr. W 1882); (Sulzbach 1827, 1838 , repr. W 1882); Wissenschaftslehre Paradoxien des Unendlichen (ed. F. Prihonsky, L 1831, repr. B 1889, H 1921, 1955; [Paradoxes of infinity], Wwa 1966); Erbauungsreden Gesamtausgabe de facto practiced. THE PHILOSOPHY OF MAN AND MORAL PHILOSOPHY. In the work Athanasia , Bolzano relied on a Leibnitzian monadology that was only slightly modified and proved the existence and immortality of the soul.

32. New Catholic Dictionary: Bolzano, Bernhard New Catholic Dictionary bolzano, bernhard. bernhard bolzano Mathematicianand philosopher, born Prague, Bohemia, 1781; died there, 1848. http://www.catholic-forum.com/saints/ncd01352.htm

Bernhard Bolzano Mathematician and philosopher, born Prague, Bohemia, died there, . Ordained, , he was appointed to the chair of the philosophy of religion in Prague University. Owing to the rationalizing tendencies of his lectures, he was dismissed, , and retired into private life, engaging in mathematical studies. His theory of parallel lines ( ) anticipated Legendre. He developed the theory of functions of one real variable, and made notable additions to the theory of differentiation, the binominal theorem, and the concept of infinity. New Catholic Dictionary NCD Index Page Catholic Community Forum Contact Author Message Board

33. New Catholic Dictionary: B Bolshevism bolzano, bernhard Bombay, archdiocese of; Bona Mors Confraternity,The Bona, Giovanni Bonaparte, Charles Lucien Jules Laurent http://www.catholic-forum.com/saints/ncdb.htm

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34. Bolzano, Bernhard (1781-1848) - MavicaNET Biography of bernhard bolzano. Born 5 Oct 1781 in Prague, Bohemia, AustrianHabsburg domain (now Catholic Encyclopedia bernhard bolzano English http://www.mavicanet.com/directory/eng/7386.html

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35. Bernard Bolzano - Wikipedia, The Free Encyclopedia (Redirected from bernhard bolzano). Bernard bolzano Enlarge. Bernard bolzano.Bernard Placidus Johann Nepomuk bolzano (October 5, 1781 – December 18, http://en.wikipedia.org/wiki/Bernhard_Bolzano

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$130,000 has been donated since the drive began on 19 August. Thank you for your generosity! Bernard Bolzano From Wikipedia, the free encyclopedia. (Redirected from Bernhard Bolzano Bernard Bolzano Bernard Placidus Johann Nepomuk Bolzano October 5 December 18 ) was a Czech mathematician theologian philosopher and logician . He was born in Prague He is known for Bolzano's theorem , and also jointly with Karl Weierstrass developed the Bolzano-Weierstrass theorem In his philosophy, Bolzano attacked the idealism of Hegel and Kant by asserting that numbers ideas , and truths exist apart from the people who think of them. Bolzano is commonly regarded as one of the precursors to modern logic. In his "Theory of Science" he attempted to provide logical foundations for all sciences, building on abstractions like part-relation, abstract objects, attributes, sentence-shapes, ideas-as-such, propositions, sums and sets, collections, substances, adherences, subjective ideas, judgments, and sentence-occurences. edit External links http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Bolzano.html

36. Bolzano-Weierstrass Theorem - Wikipedia, The Free Encyclopedia The bolzanoWeierstrass theorem is named after mathematicians bernhard bolzanoand Karl Weierstrass. edit. External link http://en.wikipedia.org/wiki/Bolzano-Weierstraß_theorem

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$130,000 has been donated since the drive began on 19 August. Thank you for your generosity! Bolzano-Weierstrass theorem From Wikipedia, the free encyclopedia. (Redirected from Bolzano-WeierstraŸ theorem The Bolzano-Weierstrass theorem in real analysis states that every bounded sequence of real numbers contains a convergent subsequence. The sequence a a a , ... is called bounded if there exists a number L such that the absolute value a n L for every index n . Graphically, this can be imagined as points a i plotted on a 2-dimensional graph, with i on the horizontal axis and the value on the vertical. The sequence then travels to the right as it progresses, and it is bounded if we can draw a horizontal strip which encloses all of the points. A subsequence is a sequence that omits some members, for instance a a a Here is a sketch of the proof: Start with a finite interval that contains all the a n . Since the sequence is bounded, the interval ( - L L ) which we have from the definition will do.

37. Consciência - Banco De Imagens - Bolzano, Bernhard - (1781-1848) bolzano, bernhard - (1781-1848). bolzano, bernhard - (1781-1848).TÍTULO, + -. ARQUIVO, + -. DATA, + - http://www.consciencia.org/imagens/banco/thumbnails.php?album=38

38. MSN Encarta - Bolzano, Bernhard bolzano, bernhard (17811848), Czech mathematician and philosopher, who was alsoa Roman Catholic priest. Born in Prague, bolzano became a priest in http://uk.encarta.msn.com/encyclopedia_761556504/Bolzano_Bernhard.html

MSN Home My MSN Hotmail Search ... Upgrade your Encarta Experience Search Encarta Subscription Article MSN Encarta Premium: Get this article, plus 35,000 other articles, an interactive atlas, dictionaries, thesaurus, study centre, and more for £19.99/year. Learn more. The article is exclusively available for MSN Encarta Premium Subscribers. Already a subscriber? Sign in above. Bolzano, Bernhard Bolzano, Bernhard (1781-1848), Czech mathematician and philosopher, who was also a Roman Catholic priest. Born in Prague, Bolzano became a priest in... Related Items Heidegger, Martin Husserl, Edmund 6 items Want more Encarta? Become a subscriber today and gain access to: 35,000 articles Literature Guides Study Tools Interactive Atlas Find more about Bolzano, Bernhard from Related Items Other Features from Encarta Heidegger, Martin Mathematics Philosophy, Western Search Encarta for ... Bolzano, Bernhard © 2005 Microsoft MSN Privacy Advertise Help

39. Bolzano Translate this page bolzano, bernhard. 1781-1848. Bernard bolzano, matemático checoslovaco, liberóal cálculo del concepto infinitesimal y señaló ejemplos de la correspondencia http://www.sectormatematica.cl/biografias/bolzano.htm

Bolzano, Bernhard Bernard Bolzano, matemático checoslovaco, liberó al cálculo del concepto infinitesimal y señaló ejemplos de la correspondencia de las funciones 1-1. En su obra póstuma "Paradojas de lo infinito" presenta conceptos que aparecen como una anticipación de la Teoría de Cantor acerca de los números transfinitos. La más importante e influyente contribución de este pensador se halla en sus ideas sobre lógica y teoría de conocimiento. Bolzano, se adelantó a los analistas rigurosos del siglo XIX, en el concepto de función continua y en la demostración de sus propiedades, en el criterio de convergencia de series, y en la existencia de funciones continuas sin derivadas.

40. H3 Faksimile CD-Shop Philosophie /h3 - Bolzano, Bernhard bolzano, bernhard. Bitte wählen Sie unten aus der Liste dasgewünschte Werk bolzano / Gegenstände der Elementargeometrie 1804, EUR 1.00 http://philosophiebuch.de/faksimiles/b_bolzano,_bernhard.htm

- Bolzano, Bernhard Product Groups A B Bolzano, Bernhard C ... Lexika auf CD Alphabetische Liste der Autoren. Außerdem auch einige Nachdrucke auf Papier. Bolzano, Bernhard Home B Bolzano, Bernhard Bitte wählen Sie unten aus der Liste das gewünschte Werk aus. Durch Anklicken gelangen Sie zur Detailseite mit weiteren bibliographischen Angaben und Bestellmöglichkeit. Weiterblättern mit der kleinen "2" (in der nächsten Zeile) wenn mehr als 10 Einträge vorliegen !!! Bolzano / Die drey Probleme 1817 EUR 0.50 Bolzano / Gegenstände der Elementargeometrie 1804 EUR 1.00 Bolzano / Was ist Philosophie 1849 EUR 0.50 Zum Wechsel zu anderen Autoren bitte die alphabetische Leiste links benutzen. Sammelwerke (unter Lexika) werden außerdem unter den Autoren aufgeführt. http://www.philosophiebuch.de Options Warenkorb Bestellformular Lieferbedingungen Info ... Home Eine Liste der neueingestellten Titel können Sie per e-Mail anfordern. Besuchen Sie auch unsere kostenlose Text-Datenbank unter www.philosophiebuch.de Vielen Dank für Ihren Besuch!

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