Bernard Bolzano

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Publisher : Oxford University Press, USA
ISBN 13 : 0198823681
Total Pages : 702 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Bernard Bolzano by : Paul Rusnock

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.

Theory of Science

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Publisher : Univ of California Press
ISBN 13 : 0520367553
Total Pages : 450 pages
Book Rating : 4.5/5 (23 download)

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Book Synopsis Theory of Science by : Bernard Bolzano

Download or read book Theory of Science written by Bernard Bolzano and published by Univ of California Press. This book was released on 2022-07-15 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1972.

Paradoxes of the Infinite (Routledge Revivals)

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Publisher : Routledge
ISBN 13 : 1317748573
Total Pages : 178 pages
Book Rating : 4.3/5 (177 download)

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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 178 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.

The Mathematical Works of Bernard Bolzano

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Publisher : Oxford University Press on Demand
ISBN 13 : 0198539304
Total Pages : 729 pages
Book Rating : 4.1/5 (985 download)

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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 on Demand. 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 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.

Bernard Bolzano

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Publisher : Oxford University Press
ISBN 13 : 0192556835
Total Pages : 544 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Bernard Bolzano by : Paul Rusnock

Download or read book Bernard Bolzano written by Paul Rusnock and published by Oxford University Press. This book was released on 2019-04-25 with total page 544 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.

Bernard Bolzano

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Author :
Publisher : Rowman & Littlefield
ISBN 13 : 1793653062
Total Pages : 171 pages
Book Rating : 4.7/5 (936 download)

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Book Synopsis Bernard Bolzano by : Kamila Veverková

Download or read book Bernard Bolzano written by Kamila Veverková and published by Rowman & Littlefield. This book was released on 2022-09-01 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the ethical, philosophical, and social legacy of the work of Bernard Bolzano (1781–1848), highlighting the theological element of Bolzano’s thought. Bolzano influenced several key thinkers (primarily Catholic priests) such as Vincenc Zahradník, Josef Michael Fesl, Anton Krombholz, František Schneider, and their pupils and successors. Zahradník co-founded an important professional Czech periodical and created much of modern Czech theological terminology. Anton Krombholz became an important representative of Austrian education after 1848, working at the Vienna Ministry of Education. Based on her previous comprehensive Czech monograph, the author now highlights other new manuscripts from Krombholz’s literary legacy. She underscores connections between Bolzano's legacy and the reform movement of the Czech Catholic clergy, emphasizing that Bolzano's ideas resonated in Czech Catholic modernism in the late nineteenth and early twentieth centuries. Notwithstanding the tumultuous national development of Czechs and Germans in nineteenth-century Bohemia, Bolzano's conception of a peaceful coexistence between the two nationalities in Bohemia very favorably contributed to the preservation of the unity of the Catholic Church during such ethnically complex times. The author’s theological conception draws upon the works of Jan Milíč Lochman (1922–2004), who, in addition to writing on contemporary ecumenical themes, also dealt with the spiritual legacy of the Czech National Revival.

On the Mathematical Method and Correspondence with Exner

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Author :
Publisher : BRILL
ISBN 13 : 9004458425
Total Pages : 195 pages
Book Rating : 4.0/5 (44 download)

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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.

Theory of Science

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Publisher : Springer Science & Business Media
ISBN 13 : 9401025134
Total Pages : 402 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Theory of Science by : B. Bolzano

Download or read book Theory of Science written by B. Bolzano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present selection from the Wissenschaftslehre (Sulzbach 1837) of Bernard Bolzano (1781-1848) aims at giving a compact view of his main ideas in logic, semantics, epistemology and the methodology of science. These ideas are analyzed from a modern point of view in the Introduction. Furthermore, excerpts from Bolzano's correspondence are included which yield important remarks on his own work. The translation of the sections from the Wissenschaftslehre are based on a German text, which I have located in the Manuscript Department of the University Library in Prague (signature: 75 B 459). It was one of Bolzano's own copies of his printed work and contains a vast number of corrections made by Bolzano himself, thus representing the final stage of his thought, which has gone unnoticed in previous editions. The German originals of Bolzano's letters to M. J. Fesl, J. P. Romang, R. Zimmermann and F. Pi'ihonsky are in the Literary Archive of the Pamatnfk narodnfho pfsemnictvf in Prague. The original of the letter to F. Exner belongs to the Manuscript Department of the Osterreichische Nationalbibliothek in Vienna. The original of the letter to J. E. Seidel is preserved in the Museum of the City of Ceske Budejovice.

Bolzano's Conception of Grounding

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Publisher : Klostermann, Vittorio
ISBN 13 : 9783465039716
Total Pages : 0 pages
Book Rating : 4.0/5 (397 download)

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Book Synopsis Bolzano's Conception of Grounding by : Stefan Roski

Download or read book Bolzano's Conception of Grounding written by Stefan Roski and published by Klostermann, Vittorio. This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Not all truths are on a par. The realm of truths is structured: some propositions are only true because others are. The relation that endows the realm of truths with this structure is often called grounding. Grounding has achieved much attention in 21st century metaphysics, but the topic is arguably as old as philosophy itself. This becomes apparent when investigating the works of the 19th-century philosopher Bernard Bolzano, who developed what is perhaps the first comprehensive theory of grounding, drawing on a rich tradition that goes back to Aristotle's Posterior Analytics. Roski's book provides, for the first time, a comprehensive study of Bolzano's theory of grounding in its entirety, paying more attention than previous studies to the interaction between grounding and the consequence-relation of deducibility.

From Kant to Husserl

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Publisher : Harvard University Press
ISBN 13 : 0674065425
Total Pages : 257 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis From Kant to Husserl by : Charles Parsons

Download or read book From Kant to Husserl written by Charles Parsons and published by Harvard University Press. This book was released on 2012-03-15 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: In From Kant to Husserl, Charles Parsons examines a wide range of historical opinion on philosophical questions from mathematics to phenomenology. Amplifying his early ideas on Kant’s philosophy of arithmetic, the author then turns to reflections on Frege, Brentano, and Husserl.

Bernard Bolzano

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Publisher : Oxford University Press
ISBN 13 : 0192556843
Total Pages : 544 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Bernard Bolzano by : Paul Rusnock

Download or read book Bernard Bolzano written by Paul Rusnock and published by Oxford University Press. This book was released on 2019-04-25 with total page 544 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.

Bolzano's Philosophy of Grounding

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Author :
Publisher : Oxford University Press
ISBN 13 : 019284797X
Total Pages : 473 pages
Book Rating : 4.1/5 (928 download)

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Book Synopsis Bolzano's Philosophy of Grounding by : Stefan Roski

Download or read book Bolzano's Philosophy of Grounding written by Stefan Roski and published by Oxford University Press. This book was released on 2022 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides translations of Bolzano's most important work on grounding, including previously untranslated material"--

Bolzano's Theoretical Philosophy

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Publisher : Springer
ISBN 13 : 0230308643
Total Pages : 183 pages
Book Rating : 4.2/5 (33 download)

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Book Synopsis Bolzano's Theoretical Philosophy by : S. Lapointe

Download or read book Bolzano's Theoretical Philosophy written by S. Lapointe and published by Springer. This book was released on 2011-01-28 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book in English to offer a systematic survey of Bolzano's philosophical logic and theory of knowledge, it offers a reconstruction of Bolzano's views on a series of key issues: the analysis of meaning, generality, analyticity, logical consequence, mathematical demonstration and knowledge by virtue of meaning.

Bolzano's Logical System

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Publisher : Oxford University Press
ISBN 13 : 0198788290
Total Pages : 369 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Bolzano's Logical System by : Ettore Casari

Download or read book Bolzano's Logical System written by Ettore Casari and published by Oxford University Press. This book was released on 2016 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is focused on the first three parts of Bolzano's Theory of Sciene and introduces a more systematic reconsideration of Bolzano's logial thought. In undertaking this task, the book is intended as an exploration, not so much of the more specifically discursive aspects of Bolzano's logial thought - already amply studied - as muh as on identifying the singularly coherent and systematic nature of the logic presented in Bolzano's work. Casari presents this within a formal system and adopts the approach of the predicate calculus with identity and choice operator by using Hilbert's epsilon calculus (the logical formalism developed by David Hilbert in the service of his program in the foundations of mathematics).

Handbook of the History and Philosophy of Mathematical Practice

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Publisher : Springer Nature
ISBN 13 : 3031408462
Total Pages : 3221 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Handbook of the History and Philosophy of Mathematical Practice by : Bharath Sriraman

Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Treatise on the Binomial Theorem

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Publisher : Texts in Mathematics
ISBN 13 : 9781848900851
Total Pages : 358 pages
Book Rating : 4.9/5 (8 download)

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Book Synopsis A Treatise on the Binomial Theorem by : Craig Smorynski

Download or read book A Treatise on the Binomial Theorem written by Craig Smorynski and published by Texts in Mathematics. This book was released on 2012 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The binomial theorem is usually quite rightly considered as one of the most important theorems in the whole of analysis." Thus wrote Bernard Bolzano in 1816 in introducing the first correct proof of Newton's generalisation of a century and a half earlier of a result familiar to us all from elementary algebra. Bolzano's appraisal may surprise the modern reader familiar only with the finite algebraic version of the Binomial Theorem involving positive integral exponents, and may also appear incongruous to one familiar with Newton's series for rational exponents. Yet his statement was a sound judgment back in the day. Here the story of the Binomial Theorem is presented in all its glory, from the early days in India, the Moslem world, and China as an essential tool for root extraction, through Newton's generalisation and its central role in infinite series expansions in the 17th and 18th centuries, and to its rigorous foundation in the 19th. The exposition is well-organised and fairly complete with all the necessary details, yet still readable and understandable for those with a limited mathematical background, say at the Calculus level or just below that. The present book, with its many citations from the literature, will be of interest to anyone concerned with the history or foundations of mathematics.

Judgement and the Epistemic Foundation of Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 9400751370
Total Pages : 172 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Judgement and the Epistemic Foundation of Logic by : Maria van der Schaar

Download or read book Judgement and the Epistemic Foundation of Logic written by Maria van der Schaar and published by Springer Science & Business Media. This book was released on 2012-11-28 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compelling reevaluation of the relationship between logic and knowledge affirms the key role that the notion of judgement must play in such a review. The commentary repatriates the concept of judgement in the discussion, banished in recent times by the logical positivism of Wittgenstein, Hilbert and Schlick, and the Platonism of Bolzano. The volume commences with the insights of Swedish philosopher Per Martin-Löf, the father of constructive type theory, for whom logic is a demonstrative science in which judgement is a settled feature of the landscape. His paper opens the first of four sections that examine, in turn, historical philosophical assessments of judgement and reason; their place in early modern philosophy; the notion of judgement and logical theory in Wolff, Kant and Neo-Kantians like Windelband; their development in the Husserlian phenomenological paradigm; and the work of Bolzano, Russell and Frege. The papers, whose authors include Per Martin-Löf, Göran Sundholm, Michael Della Rocca and Robin Rollinger, represent a finely judged editorial selection highlighting work on philosophers exercised by the question of whether or not an epistemic notion of judgement has a role to play in logic. The volume will be of profound interest to students and academicians for its application of historical developments in philosophy to the solution of vexatious contemporary issues in the foundation of logic. ​