Bernard Bolzano

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.

Paradoxes of the Infinite (Routledge Revivals)

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.

Attempt at a Detailed and in the Main Novel Exposition of Logic with Constant Attention to Earlier Authors

Theory of Science

Enthaltend eine kritische uebersicht der literatur über unsterblichkeit seit 1827, da die erste auflage erschienen war. Anhang zur zweiten auflage

Athanasia, oder Gründe für die unsterblichkeit der seele

Steve Russ

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.

The Mathematical Works of Bernard Bolzano

Řeči vzdělávacǐ akademické mládeži

Dr. B. Bolzanos Athanasia, oder Gründe für die Unsterblichkeit der Seele ... Zweite verbesserte Ausgabe, mit einem kritischen Anhange vermehrt von einem Freunde des Verfassers

Athanasia oder, Gründe für die Unsterblichkeit der Seele

Versuch einer ausführlichen und größtentheils neuen Darstellung der Logik mit steter Rücksicht auf deren bisherige Bearbeiter. Dritter Band

Dr. B. Bolzanos Wissenschaftslehre

Studien und Quellen

Bernard Bolzano, 1781-1848

Publikace obsahuje Knížku o nejlepším státě, utopii o dokonalé společnosti, kterou autor zakázal vydat a která vyšla tiskem až po sto letech, a výběr myšlenek a akademických řečí a dalších prací, na něž utopický projekt.

O nejlepším státě

Was ist Vaterland und Vaterlandsliebe?, etc

Dr. B. Bolzanos Erbauungsreden an die akademische Jugend. Zweite verbesserte, vermehrte Ausgabe. Tl. 1

Miscellanea mathematica

Original work first published: Sulzbach: Seidel, 1837.

Bernard Bolzano

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