1. Bernard Bolzano At PhilosophyClassics.com -- Essays, Resources Bernard Bolzano free essays, eTexts, resources and links from PhilosophyClassics.com. Sign up to The Daily Muse for free. Bernard Bolzano. 1781 - 1848 * Selected Recent Threads in Forum Bolzano. Go to the Bolzano Forum http://www.philosophyclassics.com/philosophers/Bolzano

Start your day with a thought-provoking quote from the world's greatest thinkers and writers. Sign up to The Daily Muse for free. Bernard Bolzano a critic of scepticism and subjectivism, who followed Leibniz's rationalism and was also influential as a mathematician Biography not found. These essays offer analysis of the author's life and works. Many of them have been submitted by users, and are assigned an Editorial Rating on a scale from one to five stars to assist you in evaluating their worth. See also: Note on Essays Editorial Policy No essays about this philosopher have been added yet. Our database is growing rapidly check back soon! No links about this philosopher have been added yet. Our database is growing rapidly check back soon! No quotes by this philosopher have been added yet. Our database is growing rapidly check back soon! Selected Recent Threads in Forum Bolzano Go to the Bolzano Forum Rating ... Views There have been no recent posts in this forum. To post a message in this forum, click the New Thread button. No registration is required. Additional searches Bolzano at Encarta Encyclopedia Bolzano at Britannica Encyclopedia Bolzano at Xrefer.com

2. Bolzano Bernard Bolzano was a Czech philosopher, mathematician, and theologian who madesignificant contributions to both mathematics and the theory of knowledge. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Bolzano.html

Bernard Placidus Johann Nepomuk Bolzano Born: 5 Oct 1781 in Prague, Bohemia, Austrian Habsburg domain (now Czech Republic) Died: 18 Dec 1848 in Prague, Bohemia (now Czech Republic) Click the picture above to see three larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Bernard Bolzano was a Czech philosopher, mathematician, and theologian who made significant contributions to both mathematics and the theory of knowledge. Bolzano entered the Philosophy Faculty of the University of Prague in 1796, studying philosophy and mathematics. Bolzano wrote My special pleasure in mathematics rested therefore particularly on its purely speculative parts, in other words I prized only that part of mathematics which was at the same time philosophy. In the autumn of 1800 he began 3 years of theological study. While pursuing his theological studies he prepared a doctoral thesis on geometry. He received his doctorate in 1804 writing a thesis giving his view of mathematics, and what constitutes a correct mathematical proof. In the preface he wrote:- I could not be satisfied with a completely strict proof if it were not derived from concepts which the thesis to be proved contained, but rather made use of some fortuitous, alien, intermediate concept, which is always an erroneous transition to another kind.

3. Bolzano Bernard From FOLDOC bolzano bernard. Recommended Reading Jan Sebestik, Logique et mathÈmatique chezBernard Bolzano (Paris, 1992). A Dictionary of Philosophical Terms and Names. http://www.swif.uniba.it/lei/foldop/foldoc.cgi?Bolzano Bernard

4. Bernard Bolzano | Mathe Board Lexikon Translate this page Bernard Bolzano. Definition, Erklärung, Bedeutung. Bernard Bolzano. BernardusPlacidus Johann Nepomuk Bolzano (* 5. Oktober 1781 in Prag, † 18. http://www.matheboard.de/lexikon/index.php/Bernard_Bolzano

Startseite Mathe Board Lexikon Mathe Tools ... Partner Das Mathe Board: Kostenlose Nachhilfe in Mathematik von der Grundschule bis zur Hochschule. A B C D ... Z Bernard Bolzano Definition, Erklärung, Bedeutung Verbessern Mitmachen Bernard Bolzano Bernardus Placidus Johann Nepomuk Bolzano 5. Oktober in Prag 18. Dezember in Prag) war Philosoph, Theologe und Mathematiker. Er lehrte in Prag Religionsphilosophie, wurde aber wegen demokratischer Äußerungen entlassen. Als Mathematiker betrieb er Grundlagenforschung in der Analysis . Er beschäftigte sich mit großen und unendlich kleinen Zahlen. Er war ein Gegner des Philosophen Immanuel Kant Nach ihm benannt ist der mathematische Satz von Bolzano-Weierstrass Weblinks http://www.austria.cz/kultur/bolzano/lebenundwerk.html cs:Bernard Bolzano en:Bernard Bolzano Hits Verweisseiten Verlinkte Seiten Vielen Dank an " Wikipedia " für die freundliche Unterstützung! Suchen auf matheboard.de:

5. Bernard Bolzano - Wikipedia, The Free Encyclopedia Not logged in Log in Help. Other languages Cesky Deutsch. Bernard Bolzano.From Wikipedia, the free encyclopedia. Enlarge Bernard Bolzano. http://en.wikipedia.org/wiki/Bernard_Bolzano

Main Page Recent changes Edit this page Page history ... Printable version Not logged in Log in Help Other languages: Deutsch Bernard Bolzano From Wikipedia, the free encyclopedia. Bernard Bolzano Bernard Placidus Johann Nepomuk Bolzano October 5 December 18 ) was a Czech mathematician and philosopher . He was born in Prague He is known for Bolzano's theorem , and also jointly with Karl Weierstrass developed the Bolzano-Weierstrass theorem External links http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Bolzano.html http://www.shu.edu/projects/reals/history/bolzano.html http://www.newadvent.org/cathen/02643c.htm This article is a stub . You can help Wikipedia by expanding it Edit this page Discuss this page Page history ... Related changes Other languages: Deutsch Main Page About Wikipedia Recent changes This page was last modified 23:40, 22 Apr 2004. All text is available under the terms of the GNU Free Documentation License (see for details). . Wikipedia is powered by MediaWiki , an open source wiki engine. Main Page Recent changes Random page Current events ... Donations

6. Bernard Bolzano - Encyclopedia Article About Bernard Bolzano. Free Access, No Re encyclopedia article about Bernard Bolzano. Bernard Bolzano in Free onlineEnglish dictionary, thesaurus and encyclopedia. Bernard Bolzano. http://encyclopedia.thefreedictionary.com/Bernard Bolzano

Dictionaries: General Computing Medical Legal Encyclopedia Bernard Bolzano Word: Word Starts with Ends with Definition Bernard Placidus Johann Nepomuk Bolzano October 5 October 5 is the 278th day of the year (279th in Leap years). There are 87 days remaining. It is also the most populous birthday of the year statistically. Events 1582 - Pope Gregory XIII announced the Gregorian calendar. 1793 - French revolution disestablished Christianity in France 1864 - Calcutta, India almost totally destroyed by a cyclone - 60,000 die Click the link for more information. Centuries: 17th century - 18th century - 19th century Decades: 1730s 1740s 1750s 1760s 1770s - Years: 1776 1777 1778 1779 1780 - Events January 5 - American Revolutionary War: Richmond, Virginia is burned by British naval forces led by Benedict Arnold. January 30 - Articles of Confederation ratified by 13th state, Maryland. Click the link for more information. December 18 December 18 is the 352nd day of the year (353rd in leap years) in the Gregorian Calendar. There are 13 days remaining. Events 1352 - Innocent VI is elected Pope.

7. Bolzano's Theorem - Encyclopedia Article About Bolzano's Theorem. Free Access, N This theorem was first stated, together with a proof which used techniques whichare now regarded as nonrigorous, by Bernard bolzano bernard Placidus Johann http://encyclopedia.thefreedictionary.com/Bolzano's theorem

Dictionaries: General Computing Medical Legal Encyclopedia Bolzano's theorem Word: Word Starts with Ends with Definition In calculus Calculus is a branch of mathematics, developed from algebra and geometry. Calculus focuses on rates of change (within functions), such as accelerations, curves, and slopes. The development of calculus is credited to Archimedes, Leibniz and Newton; lesser credit is given to Barrow, Descartes, de Fermat, Huygens, and Wallis. Fundamental to calculus are derivatives, integrals, and limits. One of the primary motives for the development of modern calculus was to solve the so-called "tangent line problem". Click the link for more information. , the intermediate value theorem is either of two theorems of which an account is given below. Intermediate value theorem The intermediate value theorem of calculus Calculus is a branch of mathematics, developed from algebra and geometry. Calculus focuses on rates of change (within functions), such as accelerations, curves, and slopes. The development of calculus is credited to Archimedes, Leibniz and Newton; lesser credit is given to Barrow, Descartes, de Fermat, Huygens, and Wallis. Fundamental to calculus are derivatives, integrals, and limits. One of the primary motives for the development of modern calculus was to solve the so-called "tangent line problem". Click the link for more information.

8. Bernard Bolzano - Susning.nu Bernard Bolzano, filosof, matematiker, teolog. Född den 5 oktober1781 i Prag, död den 18 december 1848 i Prag Bernard Placidus http://susning.nu/Bernard_Bolzano

Bernard Bolzano Startsida Senaste nytt Länkspegel ... Inställningar Sök: Bernard Bolzano filosof matematiker teolog . Född den 5 oktober 1781 i Prag , död den 18 december 1848 i Prag Bernard Placidus Johann Nepomuk Bolzano gjorde stora insatser inom både matematik och kunskapsteori medan han insåg att prästyrket inte var hans grej. Inom matematiken sysslade han bland annat med att precisera och formalisera begreppen inom differential- och integralkalkyl en. Bolzano- Weierstrass sats säger att: Begränsade talföljder innehåller en konvergent delföljd. Se till exempel: http://www.stacken.kth.se/~eric/ensum/ensumnode3.html Bolzano gav en detaljerad beskrivning av heuristik en i Wissenschaftslehre publicerad år 1837 Se även: http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Bolzano.html Hitta mer information om samma ämne på webben På svenska ( Bernard Bolzano ) sök i A D G W ... SAOB A = Alltheweb , D = Dmoz , G = Google , W = Wikipedia , Y = Yahoo , NE = Nationalencyklopedin , SAOB = Svenska Akademiens ordbok Sätt betyg på den här artikeln: Startsida Senaste nytt Länkspegel Inställningar Sök: Visa andra versioner susning.nu

9. Bernard Bolzano Bernard Bolzano. * 5. 10. 1781 Praha. † 18. 12. 1848 Praha. Narodil se vrodine obchodníka italského puvodu, jeho matka byla pražská Nemka. http://www.phil.muni.cz/~jokr/fil/scf/bolzno.html

Bernard Bolzano * 5. 10. 1781 Praha † 18. 12. 1848 Praha Po dokonèení teologických studií v r. 1804 absolvoval na pražské univerzitì s úspìchem konkurz jak na uvolnìnou katedru matematiky, tak na novì zøízenou katedru „náboženské vìdy“; rozhodl se pro tu poslední, i když se mezitím pøedstavil veøejnosti jako matematik spisem Betrachtungen über einige Gegenstände der Elementargeometrie (1804). Urychlenì promoval, dal se vysvìtit a 15. 4. 1805 byl uveden ve svùj úøad. Jeho úkolem bylo pøednášet pro všechny posluchaèe univerzity povinný tøíletý kurz náboženské vìdy a o všech nedìlích a svátcích držet pro nì zvláštní kázání (exhorty); tìch pronesl za 15 let svého pùsobení jako „univerzitní katecheta“ témìø tisíc. Tøebaže pro kurz byla pøedepsána uèebnice císaøova zpovìdníka J. Frinta, B. pøednášel podle vlastních sešitù, které vyšly po jeho sesazení anonymnì v zahranièí: Lehrbuch der Religionswissenschaft, ein Abdruck der Vorlesungshefte eines ehemaligen Religionslehrers an einer katholischen Universität I–IV (1834). B. sám vydal jen malý výbor ze svých exhort pod názvem

10. BERNARD BOLZANO BERNARD BOLZANO. 5. 10. 1781 1848. ceský matematik. Narodil sev Praze. Jeho otec byl puvodem Ital, ale již od mládí žil v http://vedci.wz.cz/Osobnosti/Bolzano_B.htm

BERNARD BOLZANO èeský matematik Narodil se v Praze. Jeho otec byl pùvodem Ital, ale již od mládí žil v Praze, kde si vybudoval obchod s umìleckými pøedmìty. I matèin rod se pøistìhoval do Prahy z ciziny, z Rakous, ale Bernard Bolzano vidìl v Èechách svou vlast, miloval Prahu a v mládí se dokonce pokoušel svùj obdiv k ní vyjádøit latinskými oslavnými verši. Již v raném vìku se u nìho projevilo matematické nadání. Vystudoval proto matematiku na pøažské univerzitì. Pøihlásil se do konkurzu na uvolnìné místo profesora matematiky na univerzitì, zkoušku vykonal s nejlepším prospìchem, ale místo dostal starší a zkušenìjší kolega. To rozhodlo o dalším Bolzanovì osudu. Pod vlivem své matky se vìnoval studiu teologie a už jako tøiadvacetiletý se stal mimoøádným profesorem náboženství na univerzitì v Praze. Matematice se pøesto nepøestal vìnovat. Ve svým matamatických pracích v letech 1810 - 1817 a 1833 - 1848 zpøesòoval (døíve než Cauchy) definice dùležitých pojmù z teorie reálných èísel (napø. infimum množiny) a z teorie funkcí (spojitost, limita, konvergence posloupností aj.). Pojem funkce definoval jako zobrazení. Bolzano je pochován na høbitovì v Olšanech.

11. Bernard Bolzano Translate this page Bernard bolzano bernardus Placidus Johann Nepomuk Bolzano (* 5. Oktober 1781 in Prag,† 18. Dezember 1848 in Prag) war Philosoph, Theologe und Mathematiker. http://www.guajara.com/wiki/de/wikipedia/b/be/bernard_bolzano.html

Bernard Bolzano Bernardus Placidus Johann Nepomuk Bolzano 5. Oktober in Prag 18. Dezember in Prag) war Philosoph, Theologe und Mathematiker. Er lehrte in Prag Religionsphilosophie, wurde aber wegen demokratischer Äußerungen entlassen. Als Mathematiker betrieb er Grundlagenforschung in der Analysis . Er beschäftigte sich mit großen und unendlich kleinen Zahlen. Er war ein Gegner des Philosophen Immanuel Kant Nach ihm benannt ist der mathematische Satz von Bolzano-Weierstrass Weblinks http://www.austria.cz/kultur/bolzano/lebenundwerk.html Websites: Tagoror Guajara Tacoronte Guia Todo Gomera ... Mi Buscador Enciclopedia On Line: GNU FDL

12. Bernard Bolzano Bernard Bolzano. Bernard Placidus Johann Nepomuk Bolzano (Ríjen 5, 1781 Prosinec18, 1848) byl Cech matematik a filozof. On byl narozený v Praha. http://wikipedia.infostar.cz/b/be/bernard_bolzano.html

švodn­ str¡nka Tato str¡nka v origin¡le Bernard Bolzano Bernard Placidus Johann Nepomuk Bolzano Ř­jen 5 Prosinec 18 ) byl Čech matematik a filozof . On byl narozen½ v Praha On je zn¡m½ pro Bolzano je teor©m , a tak© společně s Karl Weierstrass rozvinut½ Bolzano-Weierstrass teor©m Tento druh zbož­ je Å¡paček. Vy můžete pomoci Wikipedia t­m, že umluv­ si to. Extern­ spojen­ http: / / www-mezera. dcs. st-a. ac. uk / ~ historie / matematici / Bolzano. html http: / / www. shu. edu / projekty / reals / historie / bolzano. html http: / / www. newadvent. org / cathen / 02643c. htm Toto je strojov½ překlad čl¡nku z encyklopedie Wikipedia poř­zen½ překladačem Eurotran . Cel½ text je dostupn½ za podm­nek GNU FDL licence

13. Bernard Bolzano - Www.Lexikon-Online.info Translate this page Bernard Bolzano. aus dem freien Lexikon-Online.info Bernardus PlacidusJohann Nepomuk Bolzano (5.10.1781 in Prag - 18.12.1848 in http://www.lexikon-online.info/q/Bernard_Bolzano

Bernard Bolzano aus dem freien Lexikon-Online.info Bernardus Placidus Johann Nepomuk Bolzano in Prag in Prag) war Philosoph, Theologe und Mathematiker. Er lehrte in Prag Religionsphilosophie, wurde aber 1819 wegen demokratischer Äußerungen entlassen. Als Mathematiker betrieb er Grundlagenforschung in der Analysis. Er beschäftigte sich mit großen und unendlich kleinen Zahlen. Er war ein Gegner des Philosophen Kant Nach ihm benannt ist der mathematische Satz von Bolzano-Weierstrass Links http://www.austria.cz/kultur/bolzano/lebenundwerk.html Dieser Artikel basiert auf: http://de.wikipedia.org/wiki/Bernard_Bolzano . Die URL dieses Artikels ist: http://www.lexikon-online.info/q/Bernard_Bolzano Diese Seite wurde zuletzt geändert um 18:27, 2. Okt 2003. Diese Seite ist unter der GNU FDL verfügbar.

14. 20th WCP: Bernard Bolzano-Pedagogue bernard bolzanoPedagogue. Helena Lorenzová. Czech Republic. ABSTRACT bernard bolzano (1781-1848), the famous logician and mathematician, worked from 1805-1819 as a religious professor at the Prague http://www.bu.edu/wcp/Papers/Teac/TeacLore.htm

Teaching Philosophy Bernard Bolzano-Pedagogue Czech Republic ABSTRACT: Bernard Bolzano (1781-1848), the famous logician and mathematician, worked from 1805-1819 as a religious professor at the Prague University. His studies focused on three main themes: (1) ethical education, including a rather liberal sexual education as well as the problems of the coexistence of Czechs and Germans in one country (with foresight into some of these matters before the rise of extreme nationalism); (2) social problems, where he formulated for the first time his social-utopian vision of human society based on the fundamental equality of people, ideas later gathered in his book, Von dem besten Staate ; and (3) philosophy and religion, of which his lectures concentrate on the social function(s) of the Church and the social mission of the priesthood. Because of his opinions, he was disqualified from his professorship, resulting in a Church investigation against him. He was unable to return to the university, denied the right to publish in Austria, and relegated to live out his life as a private research worker. Bolzano's fate is similar to that of another pedagogue from Bohemia-Jan Patocka. Bernard Bolzano (1781-1848), presently a logician and mathematician of international repute, worked from 1805-1819 as a theological professor at the Prague University. This post he received immediately after he ended his mathematics and theology studies. In this period he had already published his first scientific study

15. Matematicos Matem¡tico checoslovaco (1781 1848). http://www.mat.usach.cl/histmat/html/bolz.html

Bolzano fue un filósofo, matemático y teólogo quien hizo significantes contribuciones tanto a las matemáticas como a la Teoría de la Ciencia, en algunos aspectos constituye un interesante precedente de la lógica matemática. 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.

16. Bernard Bolzano And The Theory Of Science Excerpts from the works by bernard bolzano and an extended bibliography of studies on his work http://www.formalontology.it/bolzanob.htm

Home Site Map Bernard Bolzano and the Theory of Science Some critical judgments on his Work "[The Wissenschaftslehre ] in its treatment of the logical 'theory of elements' far surpasses anything that world-literature has to offer in the way of a systematic sketch of logic. Bolzano did not, of course, expressly discuss or support any independent demarcation of pure logic in our sense, but he provided one de facto in the first two volumes of his work, in his discussions of what underlay a Wissenschaftslhere or theory of science in the sense of his conception; he did so with such purity and scientific strictness, and with such a rich store of original, scientifically confirmed and fruitful thoughts, that we must count him as one of the greatest logicians of all time. He must be placed historically in fairly close proximity to Leibniz, with whom he shares important thoughts and fundamental conceptions, and to whom he is also philosophically akin in other respects." "It is as logician, methodologist and epistemologist that Bolzano, after a long period of neglect, has regained philosophical attention in twentieth century. Mainly in order to combat radical skepticism, he found it necessary to base his teachings in these fields on certain ontological conceptions. He was convinced that there exist truth-in-themselves ( Wharheiten an sich ) prior to and independent of language and man.

17. 10.4. Bolzano, Bernhard (1781-1848) bernard bolzano was a philosopher and mathematician whose contributions were not fully recognized until Rootselaar, B. Van. " bolzano, bernard." Dictionary of Scientific Biography http://www.shu.edu/html/teaching/math/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.

18. Bolzano Biography from MacTutor History of Mathematics Archive. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Bolzano.html

Bernard Placidus Johann Nepomuk Bolzano Born: 5 Oct 1781 in Prague, Bohemia, Austrian Habsburg domain (now Czech Republic) Died: 18 Dec 1848 in Prague, Bohemia (now Czech Republic) Click the picture above to see three larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Bernard Bolzano was a Czech philosopher, mathematician, and theologian who made significant contributions to both mathematics and the theory of knowledge. Bolzano entered the Philosophy Faculty of the University of Prague in 1796, studying philosophy and mathematics. Bolzano wrote My special pleasure in mathematics rested therefore particularly on its purely speculative parts, in other words I prized only that part of mathematics which was at the same time philosophy. In the autumn of 1800 he began 3 years of theological study. While pursuing his theological studies he prepared a doctoral thesis on geometry. He received his doctorate in 1804 writing a thesis giving his view of mathematics, and what constitutes a correct mathematical proof. In the preface he wrote:- I could not be satisfied with a completely strict proof if it were not derived from concepts which the thesis to be proved contained, but rather made use of some fortuitous, alien, intermediate concept, which is always an erroneous transition to another kind.

19. The Bernard Bolzano Pages From Salzburg University. http://www.sbg.ac.at/fph/bolzano/bolzano.htm

The Bernard Bolzano Pages at the FAE Homepage of the FAE Bernard Bolzano Society Bolzano-Winter Archive Bolzano's Collected Works Bolzano Publication Series Projects and Conferences Links Address University of Salzburg , Franziskanergasse 1, A-5020 Salzburg, Austria Tel.: ++43/662/8044-4050 Fax: ++43/662/8044-629 E-Mail: Alexander.Hieke@sbg.ac.at Bolzano's life International Bernard Bolzano Society Bolzano-Winter Archive ... Bolzano Web Pages URL: http://www.sbg.ac.at/fph/bolzano/bolzano.htm Links last updated: 12 July 2000 Responsible for the contents: Alexander Hieke Page created by: Alexander Hieke/Annemarie Siegetsleitner Last modified: 12 July 2000

20. Bolzano, Bernard Search Biographies Bio search tips bolzano, bernard bOltsä'nO Pronunciation Key. bolzano, bernard , 17811848, Czech philosopher, mathematician, and theologian http://www.infoplease.com/cgi-bin/id/A0808202.hmtl

HOTWORDS CITE PRINT EMAIL in All Infoplease Almanacs Biographies Dictionary Encyclopedia Home Almanacs Atlas Dictionary ... Memorial Day Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map Also from Infoplease Search Infoplease Info search tips Search Biographies Bio search tips Encyclopedia Bolzano, Bernard [b O O Pronunciation Key Bolzano, Bernard , Czech philosopher, mathematician, and theologian. Though as a Catholic priest he himself was primarily concerned with religious and ethical questions, he is known today for his work in philosophy, methodology of science, mathematics, and logic. Among his important works are Wissenschaftslehre (1837), an attempt at a complete theory of science and knowledge; Rein analytischer Beweis (1817), which contains an early successful attempt to free differential calculus from the concept of infinitesimals; and Theorie der reelen Zahlen, which laid the cornerstone of the theory of real numbers. He tried to devise a geometry without the use of Euclid's parallel postulate, developed a fairly complete theory of real functions, and worked at an ideal language. However, his work did not attract the attention of his contemporaries and thus did not influence the development of mathematics. The Columbia Electronic Encyclopedia

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