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The Mathematical Works Of Bernard Bolzano
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Book Synopsis The Mathematical Works of Bernard Bolzano by : Bernard Bolzano
Download or read book The Mathematical Works of Bernard Bolzano written by Bernard Bolzano and published by Oxford University Press. This book was released on 2004-12-09 with total page 729 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bernard Bolzano (1781-1848, Prague) was an outstanding thinker and reformer, far ahead of his times in many areas, including philosophy, ethics, politics, logic, theology and physics, and mathematics. Aimed at historians of mathematics, philosophy, ethics and logic, this volume contains the first English translations of some of his most significant mathematical writings, which contain the details of many celebrated insights and anticipations: clear topological definitions of various geometric extensions, an effective statement and use of the Cauchy convergence before it appears in Cauchy's work, remarkable results on measurable numbers (a version of real numbers), on functions (the construction of a continuous, non-differentiable function around 1830) and on infinite collections.
Book Synopsis The Mathematical Works of Bernard Bolzano by : Steve Russ
Download or read book The Mathematical Works of Bernard Bolzano written by Steve Russ and published by . This book was released on 2004 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematical Works of Bernard Bolzano by : Steve Russ
Download or read book The Mathematical Works of Bernard Bolzano written by Steve Russ and published by OUP Oxford. This book was released on 2004-12-09 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bernard Bolzano (1781-1848, Prague) was a remarkable thinker and reformer far ahead of his time in many areas, including philosophy, theology, ethics, politics, logic, and mathematics. Aimed at historians and philosophers of both mathematics and logic, and research students in those fields, this volume contains English translations, in most cases for the first time, of many of Bolzano's most significant mathematical writings. These are the primary sources for many of his celebrated insights and anticipations, including: clear topological definitions of various geometric extensions; an effective statement and use of the Cauchy convergence criterion before it appears in Cauchy's work; proofs of the binomial theorem and the intermediate value theorem that are more general and rigorous than previous ones; an impressive theory of measurable numbers (a version of real numbers), a theory of functions including the construction of a continuous, non-differentiable function (around 1830); and his tantalising conceptual struggles over the possible relationships between infinite collections. Bolzano identified an objective and semantic connection between truths, his so-called 'ground-consequence' relation that imposed a structure on mathematical theories and reflected careful conceptual analysis. This was part of his highly original philosophy of mathematics that appears to be inseparable from his extraordinarily fruitful practical development of mathematics in ways that remain far from being properly understood, and may still be of relevance today.
Download or read book Bernard Bolzano written by Paul Rusnock and published by Oxford University Press, USA. This book was released on 2019-03-15 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bernard Bolzano (1781-1850) is increasingly recognized as one of the greatest nineteenth-century philosophers. A philosopher and mathematician of rare talent, he made ground-breaking contributions to logic, the foundations and philosophy of mathematics, metaphysics, and the philosophy of religion. Many of the larger features of later analytic philosophy (but also many of the details) first appear in his work: for example, the separation of logic from psychology, his sophisticated understanding of mathematical proof, his definition of logical consequence, his work on the semantics of natural kind terms, or his anticipations of Cantor's set theory, to name but a few. To his contemporaries, however, he was best known as an intelligent and determined advocate for reform of Church and State. Based in large part on a carefully argued utilitarian practical philosophy, he developed a program for the non-violent reform of the authoritarian institutions of the Hapsburg Empire, a program which he himself helped to set in motion through his teaching and other activities. Rarely has a philosopher had such a great impact on the political culture of his homeland. Persecuted in his lifetime by secular and ecclesiastical authorities, long ignored or misunderstood by philosophers, Bolzano's reputation has nevertheless steadily increased over the past century and a half. Much discussed and respected in Central Europe for over a century, he is finally beginning to receive the recognition he deserves in the English-speaking world. This book provides a comprehensive and detailed critical introduction to Bolzano, covering both his life and works.
Book Synopsis The Mathematical Works of Bernard Bolzano Published Between 1804 and 1817 by : Stephen Bruce Russ
Download or read book The Mathematical Works of Bernard Bolzano Published Between 1804 and 1817 written by Stephen Bruce Russ and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Early mathematical works by : Luboš Nový
Download or read book Early mathematical works written by Luboš Nový and published by . This book was released on 1981 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Early mathematical works by : Bernard Bolzano
Download or read book Early mathematical works written by Bernard Bolzano and published by . This book was released on 1981 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematical Works Of Bernard Bolzano Published Between 1804 And 1817. Bd 3 by : Stephen Bruce Russ
Download or read book The Mathematical Works Of Bernard Bolzano Published Between 1804 And 1817. Bd 3 written by Stephen Bruce Russ and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Mathematical Method and Correspondence with Exner by : Bernard Bolzano
Download or read book On the Mathematical Method and Correspondence with Exner written by Bernard Bolzano and published by Rodopi. This book was released on 2004 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Prague Philosopher Bernard Bolzano (1781-1848) has long been admired for his groundbreaking work in mathematics: his rigorous proofs of fundamental theorems in analysis, his construction of a continuous, nowhere-differentiable function, his investigations of the infinite, and his anticipations of Cantor's set theory. He made equally outstanding contributions in philosophy, most notably in logic and methodology. One of the greatest mathematician-philosophers since Leibniz, Bolzano is now widely recognised as a major figure of nineteenth-century philosophy. Praised by Husserl as "one of the greatest logicians of all times," he has also been recognised by Michael Dummett as one of the first modern analytic philosophers and by Alberto Coffa as the founder of the "semantic tradition." This volume contains English translations of the essay "On the Mathematical Method," a concise introduction to Bolzano's logic and philosophy of mathematics, as well as substantial selections from his correspondence with Franz Exner, Professor of Philosophy at the Charles University in Prague in the 1830s and 40s. It will be of interest to students of Austrian philosophy, the development of analytic philosophy, the philosophy of language, and the history and philosophy of logic and mathematics.
Book Synopsis The Mathematical Works Of Bernard Bolzano Published Between 1804 And 1817. Bd 1. Dissertation by : Stephen Bruce Russ
Download or read book The Mathematical Works Of Bernard Bolzano Published Between 1804 And 1817. Bd 1. Dissertation written by Stephen Bruce Russ and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematical Works Of Bernard Bolzano Published Between 1804 And 1817. Bd 3, T. 2. Dissertation by : Stephen Bruce Russ
Download or read book The Mathematical Works Of Bernard Bolzano Published Between 1804 And 1817. Bd 3, T. 2. Dissertation written by Stephen Bruce Russ and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bolzano's Philosophy and the Emergence of Modern Mathematics by : Paul Rusnock
Download or read book Bolzano's Philosophy and the Emergence of Modern Mathematics written by Paul Rusnock and published by BRILL. This book was released on 2022-06-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Theory of Science by : Bernard Bolzano
Download or read book The Theory of Science written by Bernard Bolzano and published by Univ of California Press. This book was released on 1972-01-01 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Mathematical Works Of Bernard Bolzano Published Between 1804 And 1817. Bd 2: Appendix. Dissertation by : Stephen Bruce Russ
Download or read book The Mathematical Works Of Bernard Bolzano Published Between 1804 And 1817. Bd 2: Appendix. Dissertation written by Stephen Bruce Russ and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Paradoxes of the Infinite (Routledge Revivals) by : Bernard Bolzano
Download or read book Paradoxes of the Infinite (Routledge Revivals) written by Bernard Bolzano and published by Routledge. This book was released on 2014-03-18 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.
Book Synopsis Bernard Bolzano by : Bernard Bolzano
Download or read book Bernard Bolzano written by Bernard Bolzano and published by . This book was released on 1981 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Mathematical Method and Correspondence with Exner by : Bernard Bolzano
Download or read book On the Mathematical Method and Correspondence with Exner written by Bernard Bolzano and published by BRILL. This book was released on 2021-10-25 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Prague Philosopher Bernard Bolzano (1781-1848) has long been admired for his groundbreaking work in mathematics: his rigorous proofs of fundamental theorems in analysis, his construction of a continuous, nowhere-differentiable function, his investigations of the infinite, and his anticipations of Cantor's set theory. He made equally outstanding contributions in philosophy, most notably in logic and methodology. One of the greatest mathematician-philosophers since Leibniz, Bolzano is now widely recognised as a major figure of nineteenth-century philosophy. Praised by Husserl as “one of the greatest logicians of all times,” he has also been recognised by Michael Dummett as one of the first modern analytic philosophers and by Alberto Coffa as the founder of the “semantic tradition.” This volume contains English translations of the essay “On the Mathematical Method,” a concise introduction to Bolzano’s logic and philosophy of mathematics, as well as substantial selections from his correspondence with Franz Exner, Professor of Philosophy at the Charles University in Prague in the 1830s and 40s. It will be of interest to students of Austrian philosophy, the development of analytic philosophy, the philosophy of language, and the history and philosophy of logic and mathematics.
