The Mathematical Works Of Bernard Bolzano PDF Download
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Author | : Steve Russ |
Publisher | : OUP Oxford |
Total Pages | : 732 |
Release | : 2004-12-09 |
Genre | : Science |
ISBN | : 9780198539308 |
Download The Mathematical Works of Bernard Bolzano Book in PDF, ePub and Kindle
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 theconstruction 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.
Author | : Bernard Bolzano |
Publisher | : |
Total Pages | : 0 |
Release | : 2023 |
Genre | : Mathematics |
ISBN | : 9781383026542 |
Download The Mathematical Works of Bernard Bolzano Book in PDF, ePub and Kindle
This is an English translation of the key mathematical and philosophical works of Bernard Bolzano (1781-1848).
Author | : Steve Russ |
Publisher | : |
Total Pages | : 698 |
Release | : 2004 |
Genre | : Electronic books |
ISBN | : |
Download The Mathematical Works of Bernard Bolzano Book in PDF, ePub and Kindle
Author | : Steve Russ |
Publisher | : OUP Oxford |
Total Pages | : 742 |
Release | : 2004-12-09 |
Genre | : Mathematics |
ISBN | : 9780191513701 |
Download The Mathematical Works of Bernard Bolzano Book in PDF, ePub and Kindle
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.
Author | : Paul Rusnock |
Publisher | : Oxford University Press, USA |
Total Pages | : 702 |
Release | : 2019-03-15 |
Genre | : Mathematicians |
ISBN | : 0198823681 |
Download Bernard Bolzano Book in PDF, ePub and Kindle
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.
Author | : Stephen Bruce Russ |
Publisher | : |
Total Pages | : |
Release | : 1980 |
Genre | : Mathematicians |
ISBN | : |
Download The Mathematical Works of Bernard Bolzano Published Between 1804 and 1817 Book in PDF, ePub and Kindle
Author | : Bernard Bolzano |
Publisher | : |
Total Pages | : 582 |
Release | : 1981 |
Genre | : |
ISBN | : |
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Author | : Bernard Bolzano |
Publisher | : Routledge |
Total Pages | : 202 |
Release | : 2014-03-18 |
Genre | : Philosophy |
ISBN | : 1317748581 |
Download Paradoxes of the Infinite (Routledge Revivals) Book in PDF, ePub and Kindle
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.
Author | : Stephen Bruce Russ |
Publisher | : |
Total Pages | : |
Release | : 1980 |
Genre | : |
ISBN | : |
Download The Mathematical Works Of Bernard Bolzano Published Between 1804 And 1817. Bd 3 Book in PDF, ePub and Kindle
Author | : Luboš Nový |
Publisher | : |
Total Pages | : 586 |
Release | : 1981 |
Genre | : |
ISBN | : |
Download Early mathematical works Book in PDF, ePub and Kindle