Bernard Bolzano
   HOME
*





Bernard Bolzano
Bernard Bolzano (, ; ; ; born Bernardus Placidus Johann Gonzal Nepomuk Bolzano; 5 October 1781 – 18 December 1848) was a Bohemian mathematician, logician, philosopher, theologian and Catholic priest of Italian extraction, also known for his liberal views. Bolzano wrote in German, his native language. For the most part, his work came to prominence posthumously. Family Bolzano was the son of two pious Catholics. His father, Bernard Pompeius Bolzano, was an Italian who had moved to Prague, where he married Maria Cecilia Maurer who came from Prague's German-speaking family Maurer. Only two of their twelve children lived to adulthood. Career Bolzano entered the University of Prague in 1796 and studied mathematics, philosophy and physics. In 1796 Bolzano enrolled in the Faculty of Philosophy at the University of Prague. During his studies he wrote: "My special predilection for Mathematics is based in a particular way on its speculative aspects, in other words, I greatly appreciate th ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Western Philosophy
Western philosophy encompasses the philosophical thought and work of the Western world. Historically, the term refers to the philosophical thinking of Western culture, beginning with the ancient Greek philosophy of the pre-Socratics. The word ''philosophy'' itself originated from the Ancient Greek (φιλοσοφία), literally, "the love of wisdom" grc, φιλεῖν , "to love" and σοφία '' sophía'', "wisdom"). History Ancient The scope of ancient Western philosophy included the problems of philosophy as they are understood today; but it also included many other disciplines, such as pure mathematics and natural sciences such as physics, astronomy, and biology (Aristotle, for example, wrote on all of these topics). Pre-Socratics The pre-Socratic philosophers were interested in cosmology; the nature and origin of the universe, while rejecting mythical answers to such questions. They were specifically interested in the (the cause or first principle) of the ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Immanuel Kant
Immanuel Kant (, , ; 22 April 1724 – 12 February 1804) was a German philosopher and one of the central Enlightenment thinkers. Born in Königsberg, Kant's comprehensive and systematic works in epistemology, metaphysics, ethics, and aesthetics have made him one of the most influential figures in modern Western philosophy. In his doctrine of transcendental idealism, Kant argued that space and time are mere "forms of intuition" which structure all experience, and therefore that, while " things-in-themselves" exist and contribute to experience, they are nonetheless distinct from the objects of experience. From this it follows that the objects of experience are mere "appearances", and that the nature of things as they are in themselves is unknowable to us. In an attempt to counter the skepticism he found in the writings of philosopher David Hume, he wrote the '' Critique of Pure Reason'' (1781/1787), one of his most well-known works. In it, he developed his theory of ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Jean Cavaillès
Jean Cavaillès (; ; 15 May 1903 – 4 April 1944) was a French philosopher and logician who specialized in philosophy of mathematics and philosophy of science. He took part in the French Resistance within the ''Libération'' movement and was arrested by the Gestapo on 17 February 1944 and shot on 4 April 1944. Early life and education Cavaillès was born in Saint-Maixent, Deux-Sèvres. After passing his first baccalauréat in 1919 and baccalauréats in mathematics and philosophy the following year, he studied at the Lycée Louis-le-Grand, including two years of '' classes préparatoires'', before entering the École Normale Supérieure in 1923, reading philosophy. In 1927 he passed the ''agrégation'' competitive exam. He began graduate studies in Philosophy in 1928 under the supervision of Léon Brunschvicg. Cavaillès won a Rockefeller Foundation scholarship in 1929–1930. In 1931 he travelled extensively in Germany; in Göttingen he conceived, jointly with Emmy Noether, the ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Michael Dummett
Sir Michael Anthony Eardley Dummett (27 June 1925 – 27 December 2011) was an English academic described as "among the most significant British philosophers of the last century and a leading campaigner for racial tolerance and equality." He was, until 1992, Wykeham Professor of Logic at the University of Oxford. He wrote on the history of analytic philosophy, notably as an interpreter of Frege, and made original contributions particularly in the philosophies of mathematics, logic, language and metaphysics. He was known for his work on truth and meaning and their implications to debates between realism and anti-realism, a term he helped to popularize. He devised the Quota Borda system of proportional voting, based on the Borda count. In mathematical logic, he developed an intermediate logic, already studied by Kurt Gödel: the Gödel–Dummett logic. Education and army service Born 27 June 1925, Dummett was the son of George Herbert Dummett (1880–1970), a silk merchant, and ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Gilbert Ryle
Gilbert Ryle (19 August 1900 – 6 October 1976) was a British philosopher, principally known for his critique of Cartesian dualism, for which he coined the phrase "ghost in the machine." He was a representative of the generation of British ordinary language philosophers who shared Ludwig Wittgenstein's approach to philosophical problems. Some of Ryle's ideas in philosophy of mind have been called behaviourist. In his best-known book, ''The Concept of Mind'' (1949), he writes that the "general trend of this book will undoubtedly, and harmlessly, be stigmatised as 'behaviourist'." Having studied the philosophers Bernard Bolzano, Franz Brentano, Alexius Meinong, Edmund Husserl, and Martin Heidegger, Ryle suggested that the book instead "could be described as a sustained essay in phenomenology, if you are at home with that label." Biography Family tree Gilbert Ryle's father, Reginald John Ryle, was a Brighton doctor, a generalist who had interests in philosophy and astronomy, ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  




Franz Brentano
Franz Clemens Honoratus Hermann Josef Brentano (; ; 16 January 1838 – 17 March 1917) was an influential German philosopher, psychologist, and former Catholic priest (withdrawn in 1873 due to the definition of papal infallibility in matters of Faith) whose work strongly influenced not only students Edmund Husserl, Sigmund Freud, Tomáš Masaryk, Rudolf Steiner, Alexius Meinong, Carl Stumpf, Anton Marty, Kazimierz Twardowski, and Christian von Ehrenfels, but many others whose work would follow and make use of his original ideas and concepts. Life Brentano was born at , near Boppard. He was son of Christian Brentano, brother of Lujo Brentano, and paternal nephew of Clemens Brentano and Bettina von Arnim, and of Gunda (née Brentano) and Friedrich von Savigny. He studied philosophy at the universities of Munich, Würzburg, Berlin (with Adolf Trendelenburg) and Münster. He had a special interest in Aristotle and scholastic philosophy. He wrote his dissertation in 1862 at Tübingen ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Georg Cantor
Georg Ferdinand Ludwig Philipp Cantor ( , ;  – January 6, 1918) was a German mathematician. He played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are more numerous than the natural numbers. In fact, Cantor's method of proof of this theorem implies the existence of an infinity of infinities. He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact he was well aware of. Originally, Cantor's theory of transfinite numbers was regarded as counter-intuitive – even shocking. This caused it to encounter resistance from mathematical contemporaries such as Leopold Kronecker and Henri Poincaré and later from Hermann Weyl and L. E. J. Brouwer, while Ludwig Wittgenstein raised ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Benno Kerry
Benno Kerry (né Kohn; 11 December 1858 – 20 May 1889) was an Austrian philosopher. Life Kerry was born as Benno KohnRollinger 1999, p. 125. in Vienna. He studied under Ernst Laas and Otto Liebmann at the University of Strassburg and from 1877/78 under Franz Brentano at the University of Vienna. In 1881 he obtained his doctorate with the dissertation ''Untersuchungen über das Causalproblem auf dem Boden einer Kritik der einschlägigen Lehren J. St. Mills'' ("Investigations concerning the problem of causality on the basis of a critique of the relevant doctrines of John Stuart Mill"). In Vienna, as part of the School of Brentano he befriended Alois Höfler.Rollinger 1999, p. 126. In 1885 he obtained his habilitation as ''Privatdozent'' in Strasburg with ''Grundzüge einer Theorie der mathematischen und nicht-mathematischen Grenzbegriffe. Ein Beitrag zur Erkenntnistheorie'' ("Foundations of a theory of mathematical and non-mathematical limit concepts. A contribution to epist ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Heinrich Scholz
Heinrich Scholz (; 17 December 1884 – 30 December 1956) was a German logician, philosopher, and Protestant theologian. He was a peer of Alan Turing who mentioned Scholz when writing with regard to the reception of "On Computable Numbers, with an Application to the Entscheidungsproblem":Alan Turing: "On Computable Numbers, with an Application to the Entscheidungsproblem." In: ''Proceedings of the London Mathematical Society'', 2nd series, vol. 42 (1937), pp. 230–265. "I have had two letters asking for reprints, one from Braithwaite at King's and one from a professor icin Germany... They seemed very much interested in the paper. ..I was disappointed by its reception here." Scholz had an extraordinary career (he was considered an outstanding scientist of national importance) but was not considered a brilliant logician, for example on the same level as Gottlob Frege or Rudolf Carnap. He provided a suitable academic environment for his students to thrive. He founded the Instit ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Peter M
Peter may refer to: People * List of people named Peter, a list of people and fictional characters with the given name * Peter (given name) ** Saint Peter (died 60s), apostle of Jesus, leader of the early Christian Church * Peter (surname), a surname (including a list of people with the name) Culture * Peter (actor) (born 1952), stage name Shinnosuke Ikehata, Japanese dancer and actor * ''Peter'' (album), a 1993 EP by Canadian band Eric's Trip * ''Peter'' (1934 film), a 1934 film directed by Henry Koster * ''Peter'' (2021 film), Marathi language film * "Peter" (''Fringe'' episode), an episode of the television series ''Fringe'' * ''Peter'' (novel), a 1908 book by Francis Hopkinson Smith * "Peter" (short story), an 1892 short story by Willa Cather Animals * Peter, the Lord's cat, cat at Lord's Cricket Ground in London * Peter (chief mouser), Chief Mouser between 1929 and 1946 * Peter II (cat), Chief Mouser between 1946 and 1947 * Peter III (cat), Chief Mouser between 1947 a ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Kazimierz Twardowski
Kazimierz Jerzy Skrzypna-Twardowski (20 October 1866 – 11 February 1938) was a Polish philosopher, psychologist, logician, and rector of the Lwów University. He was initially affiliated with Alexius Meinong's Graz School of object theory. Life Twardowski's family belonged to the Ogończyk coat of arms. Twardowski studied philosophy at the University of Vienna with Franz Brentano and Robert von Zimmermann. In 1891 he received his doctorate with his dissertation, ''Idee und Perzeption'' (''Idea and Perception''), and in 1894 he presented his habilitation thesis ''Zur Lehre vom Inhalt und Gegenstand der Vorstellungen'' ('' On the Doctrine of the Content and Object of Presentations'') at Vienna. He originated many novel ideas related to metaphilosophy. He lectured at the University of Vienna in the years 1894–95. In 1895 was appointed professor at Lwów (Lemberg in Austrian Galicia, now Lviv in the Ukraine). An outstanding lecturer, he was also a rector of the Lwów University ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Gottlob Frege
Friedrich Ludwig Gottlob Frege (; ; 8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician. He was a mathematics professor at the University of Jena, and is understood by many to be the father of analytic philosophy, concentrating on the philosophy of language, logic, and mathematics. Though he was largely ignored during his lifetime, Giuseppe Peano (1858–1932), Bertrand Russell (1872–1970), and, to some extent, Ludwig Wittgenstein (1889–1951) introduced his work to later generations of philosophers. Frege is widely considered to be the greatest logician since Aristotle, and one of the most profound philosophers of mathematics ever. His contributions include the development of modern logic in the ''Begriffsschrift'' and work in the foundations of mathematics. His book the ''Foundations of Arithmetic'' is the seminal text of the logicist project, and is cited by Michael Dummett as where to pinpoint the linguistic turn. His philosophical ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]