Bolzano and Analytic Philosophy


Book Description




Bernard Bolzano


Book Description

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


Book Description

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.




Bolzano's Logical System


Book Description

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).




Bolzano's Philosophy of Grounding


Book Description

"Provides translations of Bolzano's most important work on grounding, including previously untranslated material"--




Bolzano's Theoretical Philosophy


Book Description

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.










The Mathematical Works of Bernard Bolzano


Book Description

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.




Philosophy and Logic in Central Europe from Bolzano to Tarski


Book Description

ways of doing it, but it is wrong to project it far into the past: it did not exist at the turn of the century and only became clearly apparent after the Second World War. I recently taught at an American university on the his tory of philosophy from Balzano to Husserl. The course title had to come from a fixed pool and gave trouble. Was it philosophical logic, the nine teenth century, or phenomenology? A logic title would connote over this period Frege, Russell, Carnap, perhaps a mention of Boole: not continental enough. The nineteenth century? The century of Kant's successors: Fichte, Hegel, Schopenhauer, Feuer bach, Marx, Nietzsche? What have they to do with Balzano, Lotze, Brentano, Meinong, Husserl and Twardowski? Even tually 'Phenomenology' was chosen, misdescribing more than half of the course. That illustrates the problems one faces in trying to work against the picture of the period which is ingrained in minds and syllabuses. This book arises from my efforts to combat that picture. I backed into writing about the history of recent philosophy rather than setting out to do so. The beginning was chance. In Manchester in the early seventies, at a time when most English philosophy departments breathed re cycled Oxford air, the intellectual atmosphere derived from Cambridge and Warsaw, spiced with a breath of Freiburg and Paris.