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Chapters: Immanuel Kant, Gottfried Leibniz, Georg Cantor, Gottlob Frege, Gerhard Gentzen, Christoph Gottfried Bardili, Rudolf Hermann Lotze, Leopold Kronecker, Christoph Von Sigwart, Paul Lorenzen, Walter Dubislav, Heinrich Christoph Wilhelm Sigwart, Karl Von Prantl, Olaf Helmer, Leopold Löwenheim. Source: Wikipedia. Pages: 149. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Immanuel Kant (German pronunciation: ) (22 April 1724 12 February 1804) was an 18th-century German philosopher from the Prussian city of Königsberg. Kant was the last influential philosopher of modern Europe in the classic sequence of the theory of knowledge during the Enlightenment beginning with thinkers John Locke, George Berkeley, and David Hume. Kant created a new perspective in philosophy which had widespread influences on philosophy continuing through to the 21st century. He published important works on epistemology, as well as works relevant to religion, law, and history. One of his most prominent works is the Critique of Pure Reason, an investigation into the limitations and structure of reason itself. It encompasses an attack on traditional metaphysics and epistemology, and highlights Kant's own contribution to these areas. The other main works of his maturity are the Critique of Practical Reason, which concentrates on ethics, and the Critique of Judgment, which investigates aesthetics and teleology. Kant suggested that metaphysics can be reformed through epistemology. He suggested that by understanding the sources and limits of human knowledge we can ask fruitful metaphysical questions. He asked if an object can be known to have certain properties prior to the experience of that object. He concluded that all objects about which the mind can think must conform to its manner of thought. Therefore if the mind c...More: http://booksllc.net/?id=14631 ... Read more

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Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Kurt Gödel, Bertrand Russell, Georg Cantor, Paul Cohen, Max August Zorn, Chris Freiling, Luitzen Egbertus Jan Brouwer, Saharon Shelah, András Hajnal, Edward Kofler, Thoralf Skolem, Leonard Gillman, Ernst Zermelo, Judith Roitman, Petr Vopěnka, Abraham Fraenkel, Raphael M. Robinson, Paul Bernays, Menachem Magidor, Richard Laver, Keith Devlin, Andreas Blass, Edward Nelson, Ronald Jensen, Sy Friedman, Matthew Foreman, Tomek Bartoszyński, Robert M. Solovay, Eric Charles Milner, Leo Harrington, James Earl Baumgartner, Jack Silver, W. Hugh Woodin, Yiannis N. Moschovakis, Kenneth Kunen, Fred Galvin, Akihiro Kanamori, Azriel Levy, Cabal, Thomas Jech, Alexander S. Kechris, Ernst Specker, John R. Steel, Bohuslav Balcar, Katsuya Eda, Géza Fodor. Source: Wikipedia. Free updates online. Not illustrated. Excerpt: Bertrand Arthur William Russell, 3rd Earl Russell, OM, FRS (18 May 1872 2 February 1970) was a British philosopher, logician, mathematician, historian, socialist, pacifist, and social critic. Although he spent most of his life in England, he was born in Wales where he also died, aged 97. Russell led the British "revolt against idealism" in the early 1900s. He is considered one of the founders of analytic philosophy along with his protégé Wittgenstein and his predecessor Frege, and is widely held to be one of the 20th century's premier logicians. He co-authored, with A. N. Whitehead, Principia Mathematica, an attempt to ground mathematics on logic. His philosophical essay "On Denoting" has been considered a "paradigm of philosophy." Both works have had a considerable influence on logic, mathematics, set theory, linguistics, and philosophy. He was a prominent anti-war activist, championing free trade between nations and anti-imperialism. Russell was imprisoned for his pacifist activism dur...More: http://booksllc.net/?id=4163 ... Read more

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This digital document is an article from Science and Its Times, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 622 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.The histories of science, technology, and mathematics merge with the study of humanities and social science in this interdisciplinary reference work. Essays on people, theories, discoveries, and concepts are combined with overviews, bibliographies of primary documents, and chronological elements to offer students a fascinating way to understand the impact of science on the course of human history and how science affects everyday life. Entries represent people and developments throughout the world, from about 2000 B.C. through the end of the twentieth century. ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Argument de La Diagonale de Cantor, Théorème de Cantor-Bernstein, Ensemble de Cantor, Escalier de Cantor, Produit Infini de Cantor, Espace de Cantor, Médaille Cantor. Non illustré. Mises à jour gratuites en ligne. Extrait :Georg Ferdinand Ludwig Philip Cantor (3 mars 1845, Saint-Pétersbourg - 6 janvier 1918, Halle) est un mathématicien allemand, connu pour être le créateur de la théorie des ensembles. Il établit l'importance de la bijection entre les ensembles, définit les ensembles infinis et les ensembles bien ordonnés. Il prouva également que les nombres réels sont « plus nombreux » que les entiers naturels. En fait, le théorème de Cantor implique l'existence d'une « infinité d'infinis ». Il définit les nombres cardinaux, les nombres ordinaux et leur arithmétique. Le travail de Cantor est d'un grand intérêt philosophique (ce dont il était parfaitement conscient) et a donné lieu à maintes interprétations et à maints débats. Cantor a été confronté à la résistance de la part des mathématiciens de son époque, en particulier Kronecker. Poincaré, bien qu'il connût et appréciât les travaux de Cantor, avait de profondes réserves sur son maniement de l'infini en tant que totalité achevée. Les accès de dépressions récurrents du mathématicien, de 1884 à la fin de sa vie, ont été parfois attribués à l'attitude hostile de certains de ses contemporains, mais ces accès peuvent à présent être interprétés comme des manifestations d'un probable trouble bipolaire. Au siècle, la valeur des travaux de Cantor n'est pas discutée par la majorité des mathématiciens qui y voient un changement de paradigme, à l'exception d'une partie du courant constructiviste qui s'inscrit à la suite de Kronecker. Dans le but de contrer les détracteurs de C...http://booksllc.net/?l=fr ... Read more

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In mathematics, the Cantor set, introduced by German mathematician Georg Cantor in 1883 (but discovered in 1875 by Henry John Stephen Smith]), is a set of points lying on a single line segment that has a number of remarkable and deep properties. Through consideration of it, Cantor and others helped lay the foundations of modern general topology. Although Cantor himself defined the set in a general, abstract way, the most common modern construction is the Cantor ternary set, built by removing the middle thirds of a line segment. Cantor himself only mentioned the ternary construction in passing, as an example of a more general idea, that of a perfect set that is nowhere dense. ... Read more

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In mathematics, the Cantor set, introduced by German mathematician Georg Cantor in 1883 (but discovered in 1875 by Henry John Stephen Smith]), is a set of points lying on a single line segment that has a number of remarkable and deep properties. Through consideration of it, Cantor and others helped lay the foundations of modern general topology. Although Cantor himself defined the set in a general, abstract way, the most common modern construction is the Cantor ternary set, built by removing the middle thirds of a line segment. Cantor himself only mentioned the ternary construction in passing, as an example of a more general idea, that of a perfect set that is nowhere dense.

YOU WILL BE DIRECTED TO A RIPPED OF WIKIPEDIA ARTICLE.THAT IS WHAT THE ENTIRE BOOK IS MADE OF.

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Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Albert Einstein, John Von Neumann, Georg Cantor, Wernher Von Braun, Niklaus Wirth, Wilhelm Röntgen, Felix Bloch, Othmar Ammann, Richard R. Ernst, Auguste Piccard, Carlos Kleiber, Fritz Haber, Rudolf Clausius, Fritz Zwicky, Mileva Marić, Santiago Calatrava, Philippe Kahn, Bernard Tschumi, Carl Von Linde, Max Frisch, Simon Ammann, Karl Alexander Müller, Werner Arber, Charles Édouard Guillaume, Justus Dahinden, Konstantin Jovanović, Christian Menn, Hermann Müller, Hans Albert Einstein, Johannes Georg Bednorz, Armand Borel, Paul Scherrer, Hendrik Petrus Berlage, Tadeus Reichstein, James J. Stoker, Michel Kervaire, Hans Frauenfelder, Nils Claus Ihlen, Preda Mihăilescu, Eduard Imhof, Henry Brunner, Duilio Arigoni, Heinrich Rohrer, Urs Hoelzle, Alfred Ilg, Maurice Koechlin, Corine Mauch, Rudolf Trümpy, Marcel Grossmann, Schak Bull, Jakob Ackeret, Richard Meyer, Åse Aulie Michelet, Gottfried Ungerboeck, Katrin Wehrheim, Xuejia Lai, Jean-Pierre Sydler, Ernst Specker, Karl Moser, Matteo Cheda. Source: Wikipedia. Free updates online. Not illustrated. Excerpt: Albert Einstein (pronounced ; German: ; 14 March 187918 April 1955) was a theoretical physicist, philosopher and author who is widely regarded as one of the most influential and best known scientists and intellectuals of all time. He is often regarded as the father of modern physics. He received the 1921 Nobel Prize in Physics "for his services to Theoretical Physics, and especially for his discovery of the law of the photoelectric effect." His many contributions to physics include the special and general theories of relativity, the founding of relativistic cosmology, the first post-Newtonian expansion, explaining the perihelion advance of Mercury, prediction of the deflection of light by gravity and gravitational lensing, the first fluct...More: http://booksllc.net/?id=736 ... Read more

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Georg Cantors Entwicklung der transfiniten Ordinal- und Kardinalzahlen war ein Meilenstein auf dem Weg zu einer uberzeugenden Theorie des Unendlichen. Uber die philosophischen Hintergrunde hat er mit dreissig zeitgenossischen Theologen korrespondiert. Sechsundzwanzig dieser Theologen waren katholisch, drei von ihnen sogar fruher oder spater Kardinale. Die Korrespondenz, die hier vollstandig kritisch ediert wird, behandelt neben den Grundlagen der Mengenlehre auch eine Reihe klassischer philosophischer und theologischer Argumentationen mit dem Unendlichen; so zum Beispiel die in der Scholastik und Neuscholastik verbreiteten Argumente gegen die Ewigkeit der Welt, die oft mit der Unmoglichkeit aktual unendlicher Grossen operiert haben. Die Arbeit zeigt daruber hinaus Georg Cantor als eine beeindruckende Wissenschaftlerpersonlichkeit und als religiosen Menschen mit einem intensiven und doch durchbrochenen Verhaltnis zum Katholizismus seiner Zeit. Viele Details bieten spannende Einblicke in das Leben des Mathematikers: in seinen familiaren Hintergrund, seine private Religiositat, sein kirchlich-theologisches Engagement, aber auch seine bislang nicht bekannte Verwendung von Pseudonymen und Anagrammen, die sich - charakteristisch fur Cantor - zwischen Humor und Polemik bewegt. ... Read more

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Chapters: Carl-Zeiss-Gymnasium Jena, Georg-Cantor-Gymnasium, List of Specialist Schools in Germany. Source: Wikipedia. Pages: 22. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: The Carl-Zeiss-Gymnasium Jena is a state-funded German elite Gymnasium (grammar school) for highly gifted students in the fields of math, science, and technology. Before changing its profile to fully focus and these aspects, it used to be a regular German public Gymnasium with a special separate school section (Spezialschulteil) attached to it. The school is named after the famous optician Carl Zeiss and is located in the city of Jena in Germany (federal state of Thuringia). It admits students from all over the federal state. Currently there are about 600 students attending this school. But not all of those are enrolled in the special educational program. This program is restricted to highly gifted students. Hence, there are certain requirements for an individual to be able to obtain a place at this school including qualification exams and other background checks like grades and awards accomplished by the prospective student mostly at the former school. In the early phases of the school students got to go from 9th grade on to the special section of the school (usually two new groups accepted per year). The year before is severe because this is when the exams take place and the school decides about their new students for the upcoming year. Later on it was also possible for kids to attend the school from 5th grade on. However, students from 5th grade had to take an exam also, which didn't guarantee that they will pass the exam for 9th grade because they had to take this exam as well as everybody else (albeit they have a little bit more advantage by having been educated longer on a higher level). Anyway, 5th grade st...More: http://booksllc.net/?id=9361335 ... Read more

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Chapters: Georg Cantor, Heinrich Anton de Bary, Edmund Husserl, Friedrich Ernst Dorn, Theodor Bergk, Wilhelm Hanle, Ernst Rexer, Gerhard Hoffmann, Gustav Von Schmoller, Emil Abderhalden, Victor Klemperer, Hermann Ulrici, Wilhelm Eduard Weber, Friedrich Tholuck, Karl Friedrich Geldner, Wilhelm Gesenius, Hermann Gunkel, Theodor Ziehen, Hans Vaihinger, Friedrich Heinrich Albert Wangerin, Heinrich Leo, Otto Eissfeldt, Hans-Georg Stephan, Hermann Abert, Paul de Lagarde, Anathon Aall, Hermann Schwarz, Karl-Hermann Knoblauch, Hermann Burmeister, Fedor Krause, Carl Neumann, Julius Bernstein, Maximilian Wolfgang Duncker, Gustav Schwalbe, Otto Depenheuer, Johann Karl Friedrich Rosenkranz, Gottlieb Hufeland, Carl Stumpf, Otto Hesse, Gabriel Anton, Heinrich Dernburg, Franz Volhard, Martina Löw, Friedrich Gustav Von Bramann, Johann Friedrich Pfaff, Hermann Hupfeld, Georg Klebs, Helmut Hasse, Ernst Ludwig Taschenberg, Christian Friedrich Nasse, Friedrich Goltz, Curt Schimmelbusch, Julius Müller, Alfred Wilhelm Volkmann, Johann Gottfried Gruber, Karl Ullmann, Robert Prutz, Rudolf Kaltenbach, Johann Christian Gottlieb Ackermann, Viktor Schmieden, Reinhold Baer, Karl Schwarz, Emil Friedrich Kautzsch, Eduard Heine, Eugen Huber, Ernst Zitelmann, Gottfried Bernhardy, Johann Salomo Christoph Schweigger, Johann Karl Thilo, Daniel Vorländer, Johann Eduard Erdmann, Ernst Friedrich Germar, Franz Altheim, Carl Otto Von Madai, Hermann Schwartze, Jacob Volhard, Richard Von Volkmann, Alfred Carl Graefe, Heinrich Behmann, Robert Michaelis Von Olshausen, Erich Hoffmann, Heinrich Brandt, Rudolf Haym, Karl Elze, August Pott, Joseph Von Mering, Julius Wegscheider, Otto August Rosenberger, Ernst Von Dobschütz, Adolf Wuttke, Christoph Gottfried Andreas Giebel, Anton Oberbeck, Emil Rödiger, Paul Drews, Gustav Hertzberg, Willibald Beyschlag. Source: Wikipedia. Pages: 302. Not illustrated. Free updates online. Purchase includes a free trial membership in the publi...More: http://booksllc.net/?id=12216 ... Read more

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This digital document is an article from The Review of Metaphysics, published by Philosophy Education Society, Inc. on June 1, 2010. The length of the article is 9903 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available immediately after purchase. You can view it with any web browser.

Citation Details
Title: Cantor's concept of set in the light of Plato's Philebus.(Critical essay)
Author: Kai Hauser
Publication: The Review of Metaphysics (Magazine/Journal)
Date: June 1, 2010
Publisher: Philosophy Education Society, Inc.
Volume: 63Issue: 4Page: 783(23)

Article Type: Critical essay

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This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more