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Link de la búsquedaNew Essays on Leibniz Reception / SpringerLink (Online service) ; Ralf Krömer ; Yannick Chin-Drian (2012)
Título : New Essays on Leibniz Reception : In Science and Philosophy of Science 1800-2000 Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Ralf Krömer ; Yannick Chin-Drian Editorial: Basel : Springer Basel Fecha de publicación: 2012 Colección: Publications des Archives Henri Poincaré Publications of the Henri Poincaré Archives Número de páginas: XIV, 278 p Il.: online resource ISBN/ISSN/DL: 978-3-0346-0504-5 Idioma : Inglés (eng) Palabras clave: Mathematics Philosophy and science History of Mathematical Sciences Science Clasificación: 51 Matemáticas Resumen: This book is a collection of essays on the reception of Leibniz’s thinking in the sciences and in the philosophy of science in the 19th and 20th centuries. Authors studied include C.F. Gauss, Georg Cantor, Kurd Lasswitz, Bertrand Russell, Ernst Cassirer, Louis Couturat, Hans Reichenbach, Hermann Weyl, Kurt Gödel and Gregory Chaitin. In addition, we consider concepts and problems central to Leibniz’s thought and that of the later authors: the continuum, space, identity, number, the infinite and the infinitely small, the projects of a universal language, a calculus of logic, a mathesis universalis etc. The book brings together two fields of research in the history of philosophy and of science (research on Leibniz, and the research concerned with some major developments in the 19th and 20th centuries); it describes how Leibniz’s thought appears in the works of these authors, in order to better understand Leibniz’s influence on contemporary science and philosophy; but it also assesses that reception critically, confronting it in particular with the current state of Leibniz research and with the various editions of his work Nota de contenido: Introduction Ralf Krömer and Yannick Chin-Drian -- The idea of number from Gauss to Cantor. The Leibnizian heritage and its surpassing Philippe Séguin -- The Reception of Leibniz’s Logic in 19th Century German Philosophy Volker Peckhaus -- Leibniz’s Metaphysics as an Epistemological Obstacle to the Mathematization of Nature: the View of a Late 19th Century Neo-Kantian, Kurd Lasswitz Françoise Willmann -- Peano and his School between Leibniz and Couturat: the influence in mathematics and in international language Erika Luciano -- Couturat’s reception of Leibniz Anne-Françoise Schmid -- Russell and Leibniz on the classification of propositions Nicholas Griffin -- Cassirer, Reader, Publisher, and Interpreter of Leibniz’s Philosophy Jean Seidengart -- Leibniz on Relativity. The Debate between Hans Reichenbach and Dietrich Mahnke on Leibniz’s Theory of Motion and Time Vincenzo De Risi -- Interpretations of Leibniz’s Mathesis universalis at the beginning of the XXth Century David Rabouin -- Leibnizian traces in H.Weyl’s Philosophie der Mathematik und Naturwissenschaft Erhard Scholz -- Gödel, Leibniz and “Russell’s mathematical logic” Gabriella Crocco -- Chaitin, Leibniz and complexity Herbert Breger -- Abbreviations. Index En línea: http://dx.doi.org/10.1007/978-3-0346-0504-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32854 New Essays on Leibniz Reception : In Science and Philosophy of Science 1800-2000 [documento electrónico] / SpringerLink (Online service) ; Ralf Krömer ; Yannick Chin-Drian . - Basel : Springer Basel, 2012 . - XIV, 278 p : online resource. - (Publications des Archives Henri Poincaré Publications of the Henri Poincaré Archives) .
ISBN : 978-3-0346-0504-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Philosophy and science History of Mathematical Sciences Science Clasificación: 51 Matemáticas Resumen: This book is a collection of essays on the reception of Leibniz’s thinking in the sciences and in the philosophy of science in the 19th and 20th centuries. Authors studied include C.F. Gauss, Georg Cantor, Kurd Lasswitz, Bertrand Russell, Ernst Cassirer, Louis Couturat, Hans Reichenbach, Hermann Weyl, Kurt Gödel and Gregory Chaitin. In addition, we consider concepts and problems central to Leibniz’s thought and that of the later authors: the continuum, space, identity, number, the infinite and the infinitely small, the projects of a universal language, a calculus of logic, a mathesis universalis etc. The book brings together two fields of research in the history of philosophy and of science (research on Leibniz, and the research concerned with some major developments in the 19th and 20th centuries); it describes how Leibniz’s thought appears in the works of these authors, in order to better understand Leibniz’s influence on contemporary science and philosophy; but it also assesses that reception critically, confronting it in particular with the current state of Leibniz research and with the various editions of his work Nota de contenido: Introduction Ralf Krömer and Yannick Chin-Drian -- The idea of number from Gauss to Cantor. The Leibnizian heritage and its surpassing Philippe Séguin -- The Reception of Leibniz’s Logic in 19th Century German Philosophy Volker Peckhaus -- Leibniz’s Metaphysics as an Epistemological Obstacle to the Mathematization of Nature: the View of a Late 19th Century Neo-Kantian, Kurd Lasswitz Françoise Willmann -- Peano and his School between Leibniz and Couturat: the influence in mathematics and in international language Erika Luciano -- Couturat’s reception of Leibniz Anne-Françoise Schmid -- Russell and Leibniz on the classification of propositions Nicholas Griffin -- Cassirer, Reader, Publisher, and Interpreter of Leibniz’s Philosophy Jean Seidengart -- Leibniz on Relativity. The Debate between Hans Reichenbach and Dietrich Mahnke on Leibniz’s Theory of Motion and Time Vincenzo De Risi -- Interpretations of Leibniz’s Mathesis universalis at the beginning of the XXth Century David Rabouin -- Leibnizian traces in H.Weyl’s Philosophie der Mathematik und Naturwissenschaft Erhard Scholz -- Gödel, Leibniz and “Russell’s mathematical logic” Gabriella Crocco -- Chaitin, Leibniz and complexity Herbert Breger -- Abbreviations. Index En línea: http://dx.doi.org/10.1007/978-3-0346-0504-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32854 Ejemplares
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Título : Logicism, Intuitionism, and Formalism : What has Become of Them? Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Sten Lindström ; Erik Palmgren ; Segerberg, Krister ; Stoltenberg-Hansen, Viggo Editorial: Dordrecht : Springer Netherlands Fecha de publicación: 2009 Colección: Synthese Library, Studies In Epistemology. Logic, Methodology, and Philosophy of Science num. 341 Número de páginas: XII, 512 p Il.: online resource ISBN/ISSN/DL: 978-1-4020-8926-8 Idioma : Inglés (eng) Palabras clave: Mathematics Epistemology Logic Ontology Language and languages Philosophy History Mathematical logic Foundations of Sciences Clasificación: 51 Matemáticas Resumen: The period in the foundations of mathematics that started in 1879 with the publication of Frege's Begriffsschrift and ended in 1931 with Gödel's Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I can reasonably be called the classical period. It saw the development of three major foundational programmes: the logicism of Frege, Russell and Whitehead, the intuitionism of Brouwer, and Hilbert's formalist and proof-theoretic programme. In this period, there were also lively exchanges between the various schools culminating in the famous Hilbert-Brouwer controversy in the 1920s. The purpose of this anthology is to review the programmes in the foundations of mathematics from the classical period and to assess their possible relevance for contemporary philosophy of mathematics. What can we say, in retrospect, about the various foundational programmes of the classical period and the disputes that took place between them? To what extent do the classical programmes of logicism, intuitionism and formalism represent options that are still alive today? These questions are addressed in this volume by leading mathematical logicians and philosophers of mathematics. The volume will be of interest primarily to researchers and graduate students of philosophy, logic, mathematics and theoretical computer science. The material will be accessible to specialists in these areas and to advanced graduate students in the respective fields Nota de contenido: Introduction: The Three Foundational Programmes -- Introduction: The Three Foundational Programmes -- Logicism and Neo-Logicism -- Protocol Sentences for Lite Logicism -- Frege’s Context Principle and Reference to Natural Numbers -- The Measure of Scottish Neo-Logicism -- Natural Logicism via the Logic of Orderly Pairing -- Intuitionism and Constructive Mathematics -- A Constructive Version of the Lusin Separation Theorem -- Dini’s Theorem in the Light of Reverse Mathematics -- Journey into Apartness Space -- Relativization of Real Numbers to a Universe -- 100 Years of Zermelo’s Axiom of Choice: What was the Problem with It? -- Intuitionism and the Anti-Justification of Bivalence -- From Intuitionistic to Point-Free Topology: On the Foundation of Homotopy Theory -- Program Extraction in Constructive Analysis -- Brouwer’s Approximate Fixed-Point Theorem is Equivalent to Brouwer’s Fan Theorem -- Formalism -- “Gödel’s Modernism: On Set-Theoretic Incompleteness,” Revisited -- Tarski’s Practice and Philosophy: Between Formalism and Pragmatism -- The Constructive Hilbert Program and the Limits of Martin-Löf Type Theory -- Categories, Structures, and the Frege-Hilbert Controversy: The Status of Meta-mathematics -- Beyond Hilbert’s Reach? -- Hilbert and the Problem of Clarifying the Infinite En línea: http://dx.doi.org/10.1007/978-1-4020-8926-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33957 Logicism, Intuitionism, and Formalism : What has Become of Them? [documento electrónico] / SpringerLink (Online service) ; Sten Lindström ; Erik Palmgren ; Segerberg, Krister ; Stoltenberg-Hansen, Viggo . - Dordrecht : Springer Netherlands, 2009 . - XII, 512 p : online resource. - (Synthese Library, Studies In Epistemology. Logic, Methodology, and Philosophy of Science; 341) .
ISBN : 978-1-4020-8926-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Epistemology Logic Ontology Language and languages Philosophy History Mathematical logic Foundations of Sciences Clasificación: 51 Matemáticas Resumen: The period in the foundations of mathematics that started in 1879 with the publication of Frege's Begriffsschrift and ended in 1931 with Gödel's Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I can reasonably be called the classical period. It saw the development of three major foundational programmes: the logicism of Frege, Russell and Whitehead, the intuitionism of Brouwer, and Hilbert's formalist and proof-theoretic programme. In this period, there were also lively exchanges between the various schools culminating in the famous Hilbert-Brouwer controversy in the 1920s. The purpose of this anthology is to review the programmes in the foundations of mathematics from the classical period and to assess their possible relevance for contemporary philosophy of mathematics. What can we say, in retrospect, about the various foundational programmes of the classical period and the disputes that took place between them? To what extent do the classical programmes of logicism, intuitionism and formalism represent options that are still alive today? These questions are addressed in this volume by leading mathematical logicians and philosophers of mathematics. The volume will be of interest primarily to researchers and graduate students of philosophy, logic, mathematics and theoretical computer science. The material will be accessible to specialists in these areas and to advanced graduate students in the respective fields Nota de contenido: Introduction: The Three Foundational Programmes -- Introduction: The Three Foundational Programmes -- Logicism and Neo-Logicism -- Protocol Sentences for Lite Logicism -- Frege’s Context Principle and Reference to Natural Numbers -- The Measure of Scottish Neo-Logicism -- Natural Logicism via the Logic of Orderly Pairing -- Intuitionism and Constructive Mathematics -- A Constructive Version of the Lusin Separation Theorem -- Dini’s Theorem in the Light of Reverse Mathematics -- Journey into Apartness Space -- Relativization of Real Numbers to a Universe -- 100 Years of Zermelo’s Axiom of Choice: What was the Problem with It? -- Intuitionism and the Anti-Justification of Bivalence -- From Intuitionistic to Point-Free Topology: On the Foundation of Homotopy Theory -- Program Extraction in Constructive Analysis -- Brouwer’s Approximate Fixed-Point Theorem is Equivalent to Brouwer’s Fan Theorem -- Formalism -- “Gödel’s Modernism: On Set-Theoretic Incompleteness,” Revisited -- Tarski’s Practice and Philosophy: Between Formalism and Pragmatism -- The Constructive Hilbert Program and the Limits of Martin-Löf Type Theory -- Categories, Structures, and the Frege-Hilbert Controversy: The Status of Meta-mathematics -- Beyond Hilbert’s Reach? -- Hilbert and the Problem of Clarifying the Infinite En línea: http://dx.doi.org/10.1007/978-1-4020-8926-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33957 Ejemplares
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Título : Value Economics : The Ethical Implications of Value for New Economic Thinking Tipo de documento: documento electrónico Autores: M. R. Griffiths ; J. R. Lucas ; SpringerLink (Online service) Editorial: London : Palgrave Macmillan UK Fecha de publicación: 2016 Otro editor: Imprint: Palgrave Macmillan Número de páginas: XV, 281 p Il.: online resource ISBN/ISSN/DL: 978-1-137-54187-1 Idioma : Inglés (eng) Palabras clave: Business ethics Finance Philosophy and social sciences Welfare economics Economic policy Economics Policy Ethics of the Social Sciences Choice/Welfare Economics/Public Choice Finance, general Clasificación: 330 Economía en general Resumen: The last financial crisis revealed a gap between business practice and ethics. In Value Economics, Griffiths and Lucas examine some of the reasons for this ethical gap and discuss the resulting loss of confidence in the financial system. One of the reasons has been hazy or inadequate thinking about how we value economic enterprises. With the close link between the creation of value and business ethics in mind, this book proposes that economic value should become the basic metric for evaluating performance in the creation of value, and for establishing fair and reasonable standards for executive compensation. Value Economics considers a number of rational philosophical principles for business management, on which practical codes of business ethics can be based. As the creation of value has moral implications for economic justice, the book reaffirms the argument for economics as a moral science, and seeks, within the context of proposed changes in the regulation and control of financial services, to answer the following question: will things really change after the last financial crisis? Nota de contenido: 1. Economics as a Moral Science -- 2. Cooperation and Facilitation -- 3. Money as 'Encapsulated Choice' -- 4. The Moneyed Society -- 5. Boom or Bust -- 6. Work and Employment -- 7. Economic Value and Intrinsic Value -- 8. Relating Economic Value to Executive Compensation -- 9. Regulation and Control of Economic Value -- 10. Corporate Social Responsibility and Business Ethics -- 11. Philosophy of Economics and Business Ethics -- 12. New Economic Thinking and Economic Justice En línea: http://dx.doi.org/10.1057/978-1-137-54187-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=42024 Value Economics : The Ethical Implications of Value for New Economic Thinking [documento electrónico] / M. R. Griffiths ; J. R. Lucas ; SpringerLink (Online service) . - London : Palgrave Macmillan UK : Imprint: Palgrave Macmillan, 2016 . - XV, 281 p : online resource.
ISBN : 978-1-137-54187-1
Idioma : Inglés (eng)
Palabras clave: Business ethics Finance Philosophy and social sciences Welfare economics Economic policy Economics Policy Ethics of the Social Sciences Choice/Welfare Economics/Public Choice Finance, general Clasificación: 330 Economía en general Resumen: The last financial crisis revealed a gap between business practice and ethics. In Value Economics, Griffiths and Lucas examine some of the reasons for this ethical gap and discuss the resulting loss of confidence in the financial system. One of the reasons has been hazy or inadequate thinking about how we value economic enterprises. With the close link between the creation of value and business ethics in mind, this book proposes that economic value should become the basic metric for evaluating performance in the creation of value, and for establishing fair and reasonable standards for executive compensation. Value Economics considers a number of rational philosophical principles for business management, on which practical codes of business ethics can be based. As the creation of value has moral implications for economic justice, the book reaffirms the argument for economics as a moral science, and seeks, within the context of proposed changes in the regulation and control of financial services, to answer the following question: will things really change after the last financial crisis? Nota de contenido: 1. Economics as a Moral Science -- 2. Cooperation and Facilitation -- 3. Money as 'Encapsulated Choice' -- 4. The Moneyed Society -- 5. Boom or Bust -- 6. Work and Employment -- 7. Economic Value and Intrinsic Value -- 8. Relating Economic Value to Executive Compensation -- 9. Regulation and Control of Economic Value -- 10. Corporate Social Responsibility and Business Ethics -- 11. Philosophy of Economics and Business Ethics -- 12. New Economic Thinking and Economic Justice En línea: http://dx.doi.org/10.1057/978-1-137-54187-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=42024 Ejemplares
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Título : Superior Beings If They Exist How Would We Know? : Game-Theoretic Implications of Omniscience, Omnipotence, Immortality, and Incomprehensibility Tipo de documento: documento electrónico Autores: Steven J. Brams ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2007 Número de páginas: XXIV, 202 p. 32 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-48077-0 Idioma : Inglés (eng) Palabras clave: Mathematics Philosophy Epistemology Game theory Popular works Economic Theory, Economics, Social and Behav. Sciences Theory/Quantitative Economics/Mathematical Methods Science, general Philosophy, Clasificación: 51 Matemáticas Resumen: The central question posed in this book is: If there existed a superior being who possessed the supernatural qualities of omniscience, omnipotence, immortality, and incomprehensibility, how would he/she act differently from us? The mathematical theory of games is used to define each of these qualities, and different assumptions about the rules of play in several theological games that might be played between ordinary human beings and superior beings like God are posited. Implications of these definitions and assumptions are developed and used to explore such questions as: are God's superior powers compatible with human free will? Can they be reconciled with the problem of evil in the world? In what situation is God's existence "decidable" in gamelike relationships He migh have with us? By endowing omniscience/omnipotence/immortality/incomprehensibility with unambiguous meanings, the author shows how game theory can help breathe life into questions that have been dismissed too quickly simply because they are metaphysical--outside the world of experience. Thereby he clarifies the structure of our thought about an ultimate reality, whether or not it is viewed as religious. Reviews from the first edition: "[Brams's] arguments, some of them quite complicated, are presented clearly and enough background information is given to enable the non-expert in game theory to follow what is going on." - H.N.V. Temperley, Nature (March, 1984) "Superior Beings is an extraordinary book... He [Brams] uses strikingly simple models and generally transparent logic to make some surprising inferences about superiority. His inquiry is carried out with great inventiveness and care, and his book is highly recommended to those interested in religion, philosophy, and the contribution of logical analysis." - D. Marc Kilgur, American Scientist (1984) "Brams has performed a service in deominstrating that rational analysis need not stop where issues involving faith and emotion begin." - Peter Bennett, New Scientist (1 March, 1984) "Does game-theoretic theory exist? This book is a fresh partial answer, modestly phrased and interestingly written. Readers will enjoy it and learn from it whether or not the believe in either God or von Neumann." - Dr. Paul R. Halmos, Indiana University "Professor Brams has boldly invaded an unexplored region where modern game theory and decision theory find applications to monotheistic theology. His carefully constructed arguments would have perplexed Maimonides, Aquinas, Luther, or the great Muslim thinkers... But it is hard to see how they can be ignored by contemporary theologians." - Martin Gardener "[Brams's] work can be highly recommended as collateral reading for introdcutory courses on mathematical modeling in the social, managerial and decision science-now perhaps even in theology." - William F. Lucas, American Mathematical Monthly (January, 1987) Nota de contenido: The Rationality of Belief in a Superior Being -- Omniscience and Partial Omniscience -- The Paradox of Omniscience and the Theory of Moves -- Omnipotence: Moving and Staying Power -- Immortality and Incomprehensibility -- Superior Beings: They May Be Undecidable En línea: http://dx.doi.org/10.1007/978-0-387-48077-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34474 Superior Beings If They Exist How Would We Know? : Game-Theoretic Implications of Omniscience, Omnipotence, Immortality, and Incomprehensibility [documento electrónico] / Steven J. Brams ; SpringerLink (Online service) . - New York, NY : Springer New York, 2007 . - XXIV, 202 p. 32 illus : online resource.
ISBN : 978-0-387-48077-0
Idioma : Inglés (eng)
Palabras clave: Mathematics Philosophy Epistemology Game theory Popular works Economic Theory, Economics, Social and Behav. Sciences Theory/Quantitative Economics/Mathematical Methods Science, general Philosophy, Clasificación: 51 Matemáticas Resumen: The central question posed in this book is: If there existed a superior being who possessed the supernatural qualities of omniscience, omnipotence, immortality, and incomprehensibility, how would he/she act differently from us? The mathematical theory of games is used to define each of these qualities, and different assumptions about the rules of play in several theological games that might be played between ordinary human beings and superior beings like God are posited. Implications of these definitions and assumptions are developed and used to explore such questions as: are God's superior powers compatible with human free will? Can they be reconciled with the problem of evil in the world? In what situation is God's existence "decidable" in gamelike relationships He migh have with us? By endowing omniscience/omnipotence/immortality/incomprehensibility with unambiguous meanings, the author shows how game theory can help breathe life into questions that have been dismissed too quickly simply because they are metaphysical--outside the world of experience. Thereby he clarifies the structure of our thought about an ultimate reality, whether or not it is viewed as religious. Reviews from the first edition: "[Brams's] arguments, some of them quite complicated, are presented clearly and enough background information is given to enable the non-expert in game theory to follow what is going on." - H.N.V. Temperley, Nature (March, 1984) "Superior Beings is an extraordinary book... He [Brams] uses strikingly simple models and generally transparent logic to make some surprising inferences about superiority. His inquiry is carried out with great inventiveness and care, and his book is highly recommended to those interested in religion, philosophy, and the contribution of logical analysis." - D. Marc Kilgur, American Scientist (1984) "Brams has performed a service in deominstrating that rational analysis need not stop where issues involving faith and emotion begin." - Peter Bennett, New Scientist (1 March, 1984) "Does game-theoretic theory exist? This book is a fresh partial answer, modestly phrased and interestingly written. Readers will enjoy it and learn from it whether or not the believe in either God or von Neumann." - Dr. Paul R. Halmos, Indiana University "Professor Brams has boldly invaded an unexplored region where modern game theory and decision theory find applications to monotheistic theology. His carefully constructed arguments would have perplexed Maimonides, Aquinas, Luther, or the great Muslim thinkers... But it is hard to see how they can be ignored by contemporary theologians." - Martin Gardener "[Brams's] work can be highly recommended as collateral reading for introdcutory courses on mathematical modeling in the social, managerial and decision science-now perhaps even in theology." - William F. Lucas, American Mathematical Monthly (January, 1987) Nota de contenido: The Rationality of Belief in a Superior Being -- Omniscience and Partial Omniscience -- The Paradox of Omniscience and the Theory of Moves -- Omnipotence: Moving and Staying Power -- Immortality and Incomprehensibility -- Superior Beings: They May Be Undecidable En línea: http://dx.doi.org/10.1007/978-0-387-48077-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34474 Ejemplares
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Título : The Selected Correspondence of L.E.J. Brouwer Tipo de documento: documento electrónico Autores: Dirk van Dalen ; SpringerLink (Online service) Editorial: London : Springer London Fecha de publicación: 2011 Colección: Sources and Studies in the History of Mathematics and Physical Sciences, ISSN 2196-8810 Número de páginas: VIII, 532 p Il.: online resource ISBN/ISSN/DL: 978-0-85729-537-8 Idioma : Inglés (eng) Palabras clave: Mathematics Philosophy Logic History Mathematical logic Topology of Sciences and Foundations Philosophy, general Clasificación: 51 Matemáticas Resumen: L.E.J. Brouwer (1881-1966) is best known for his revolutionary ideas on topology and foundations of mathematics (intuitionism). The present collection contains a mixture of letters; university and faculty correspondence has been included, some of which shed light on the student years, and in particular on the exchange of letters with his PhD adviser, Korteweg. Acting as the natural sequel to the publication of Brouwer’s biography, this book provides instrumental reading for those wishing to gain a deeper understanding of Brouwer and his role in the twentieth century. Striking a good balance of biographical and scientific information, the latter deals with innovations in topology (Cantor-Schoenflies style and the new topology) and foundations. The topological period in his research is well represented in correspondence with Hilbert, Schoenflies, Poincaré, Blumenthal, Lebesgue, Baire, Koebe, and foundational topics are discussed in letters exchanged with Weyl, Fraenkel, Heyting, van Dantzig and others. There is also a large part of correspondence on matters related to the interbellum scientific politics. This book will appeal to both graduate students and researchers with an interest in topology, the history of mathematics, the foundations of mathematics, philosophy and general science Nota de contenido: Introduction -- 1900 - 1910.- 1911 - 1920.- 1921 - 1930.- 1931 - 1940.- 1941 - 1950.- 1951 - 1965.- Appendices.- List of Enclosures, Editorial Comments and Editorial -- Supplements.-Biographical information.- List of letters.- Abbreviations -- Organizations and journals En línea: http://dx.doi.org/10.1007/978-0-85729-537-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33129 The Selected Correspondence of L.E.J. Brouwer [documento electrónico] / Dirk van Dalen ; SpringerLink (Online service) . - London : Springer London, 2011 . - VIII, 532 p : online resource. - (Sources and Studies in the History of Mathematics and Physical Sciences, ISSN 2196-8810) .
ISBN : 978-0-85729-537-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Philosophy Logic History Mathematical logic Topology of Sciences and Foundations Philosophy, general Clasificación: 51 Matemáticas Resumen: L.E.J. Brouwer (1881-1966) is best known for his revolutionary ideas on topology and foundations of mathematics (intuitionism). The present collection contains a mixture of letters; university and faculty correspondence has been included, some of which shed light on the student years, and in particular on the exchange of letters with his PhD adviser, Korteweg. Acting as the natural sequel to the publication of Brouwer’s biography, this book provides instrumental reading for those wishing to gain a deeper understanding of Brouwer and his role in the twentieth century. Striking a good balance of biographical and scientific information, the latter deals with innovations in topology (Cantor-Schoenflies style and the new topology) and foundations. The topological period in his research is well represented in correspondence with Hilbert, Schoenflies, Poincaré, Blumenthal, Lebesgue, Baire, Koebe, and foundational topics are discussed in letters exchanged with Weyl, Fraenkel, Heyting, van Dantzig and others. There is also a large part of correspondence on matters related to the interbellum scientific politics. This book will appeal to both graduate students and researchers with an interest in topology, the history of mathematics, the foundations of mathematics, philosophy and general science Nota de contenido: Introduction -- 1900 - 1910.- 1911 - 1920.- 1921 - 1930.- 1931 - 1940.- 1941 - 1950.- 1951 - 1965.- Appendices.- List of Enclosures, Editorial Comments and Editorial -- Supplements.-Biographical information.- List of letters.- Abbreviations -- Organizations and journals En línea: http://dx.doi.org/10.1007/978-0-85729-537-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33129 Ejemplares
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