On Bolzano's Concept of a Sum

History and Philosophy of Logic 34 (2):155 - 169 (2013)
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Abstract

Alongside his groundbreaking work in logic, Bernard Bolzano (1781?1848) made important contributions to ontology, notably with his theory of collections. Recent work has done much to elucidate Bolzano's conceptions, but his notion of a sum has proved stubbornly resistant to complete understanding. This paper offers a new interpretation of Bolzano's concept of a sum. I argue that, although Bolzano's presentation is defective, his conception is unexceptionable, and has important applications, notably in his work on the foundations of arithmetic

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Paul Rusnock
University of Ottawa

Citations of this work

Bolzano’s Infinite Quantities.Kateřina Trlifajová - 2018 - Foundations of Science 23 (4):681-704.
Collections in Early Bolzano.Stefania Centrone & Mark Siebel - 2018 - Journal for the History of Analytical Philosophy 6 (7).

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References found in this work

Paradoxien des Unendlichen.Bernard Bolzano - 2012 - Hamburg: Felix Meiner Verlag. Edited by Christian Tapp.
Bolzano's Logic.Jan Berg - 1962 - Stockholm, Sweden: Stockholm, Almqvist & Wiksell.
Wissenschaftslehre. [REVIEW]Arthur R. Schweitzer - 2001 - Revue de Métaphysique et de Morale 2 (18):134-136.

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