Bernard Bolzano
Papers

Papers

The following is a list of papers on Bolzano’s mathematics and related topics in logic and philosophy. This list is under constant revision but is not meant to be exhaustive and will initially only include papers published from 2000.

A comprehensive set of bibliographies with works by and about Bolzano published up to 1999 can be found in the volume Bolzano-Gesamtbibliographie 1804–1999, by Jan Berg, Edgar Morscher and Anneliese Müller, while a list of bibliographies including papers published between 2000 and 2017 can be found in Bernard Bolzano: His Life and Work, by Paul Rusnock and Jan Šebestík. In Czech, an extensive selected bibliography can be found in Bernard Bolzano (1781-1848): výběrová bibliografie, by Jan Švejda, published in 1981 on the occasion of Bolzano’s bicentennial and built upon the 1972 “Bolzano-Bibliographie”, by Jan Berg, Edgar Morscher and Marie Pavlíková.

2025

“Bolzano”, as part of the chapter “Mathematical Icons in Mathematics Education”, by Helena Durnová

2024

“Sizes of Countable Sets”, by Kateřina Trlifajová

2023

“How to Distinguish Simple Objectless Ideas”, by Jan Claas
“Bolzano on Bolzano: A Hitherto Unknown Announcement of Bolzano’s Beyträge”, by Elías Fuentes Guillén
“Frege’s Silence About Bolzano”, by Jan Šebestík

2022

“On Bolzano and Greek Concepts of Continuity”, by Piotr Błaszczyk and Marlena Fila
“Bolzano’s Theory of meßbare Zahlen: Insights and Uncertainties Regarding the Number Continuum”, by Elías Fuentes Guillén

2021

“Bolzano on Continuity”, by Paul Rusnock
“Bolzano, Kant and the traditional theory of concepts: A computational investigation”, by Annapaola Ginammi, Jelke Bloem, Rob Koopman, Shenghui Wang and Arianna Betti
“The 1804 examination for the chair of Elementary Mathematics at the University of Prague”, by Elías Fuentes Guillén and Davide Crippa
“Bolzano’s Mathematical Infinite”, by Anna Bellomo and Guillaume Massas

2020

“Continuity between Cauchy and Bolzano: issues of antecedents and priority”, by Jacques Bair, Piotr Błaszczyk, Elías Fuentes Guillén, Peter Heinig, Vladimir Kanovei and Mikhail Katz
“The notion of variable quantities ω in Bolzano’s early works”, by Elías Fuentes Guillén and Carmen Martínez Adame

2018

“Bolzano’s Infinite Quantities”, by Kateřina Trlifajová
“Collections in Early Bolzano”, by Stefania Centrone and Mark Siebel

2017

“Mathematical Visionary: Bolzano in Bohemia”, by Steve Russ

2016

“Bolzano’s measurable numbers: are they real?”, by Steve Russ and Kateřina Trlifajová
“Early Bolzano on ground-consequence proofs”, by Stefania Centrone
“Simplicity and Economy in Bolzano’s Theory of Grounding”, by Stefan Roski and Antje Rumberg

2015

“Bolzano’s Monadology”, by Peter Simons

2014

“The Transition from Formula-Centered to Concept-Centered Analysis. Bolzano’s Purely Analytic Proof”, by Iris Loeb and Stefan Roski
“Bolzano versus Kant: Mathematics as a Scientia Universalis”, by Paola Cantù
“Bolzano’s Lehrjahre”, by Jan Šebestík
“Bolzano’s logical realism”, by Sandra Lapointe
“Mathematics, Logics, and Philosophy: The Analytic/Synthetic Distinction in Kant, Bolzano and Peirce”, by Michael Otte

2013

“The Beyträge at 200: Bolzano’s quiet revolution in the philosophy of mathematics”, by Paul Rusnock and Jan Šebestík
“Bolzano’s Concept of Grounding (Abfolge) against the Background of Normal Proofs”, by Antje Rumberg
“Kant and Bolzano on Analyticity”, by Paul Rusnock
“On Bolzano’s Concept of a Sum”, by Paul Rusnock

2012

“Strenge Beweise und das Verbot der metábasis eis állo génos”, by Stefania Centrone
“Bolzano’s Universe: Truth, Logic and Metaphysics”, by Arianna Betti
“Bolzano and Kant on the Nature of Logic”, by Clinton Tolley

2011

“Kant and Bolzano on logical form”, by Paul Rusnock
“Bolzanos Zeichentheorie. Eine Untersuchung zu § 285 der Wissenschaftslehre”, by Stefania Centrone and Wolfgang Künne
“‘It Falls Somewhat Short of Logical Precision.’ Bolzano on Kant’s Definition of Analyticity”, by Mark Siebel
“Bolzano e la logica”, by Peter Simons
“Concepts and contrasts: Hermann Grassmann and Bernard Bolzano”, by Steve Russ

2010

“Explanation in metaphysics and Bolzano’s theory of ground and consequence”, by Arianna Betti
“Rigor, Re-Proof and Bolzano’s Critical Program”, by Michael Detlefsen
“Etchemendy and Bolzano on Logical Consequence”, by Paul Rusnock and Mark Burke
“Functions in Frege, Bolzano and Husserl”, by Stefania Centrone
“The analytic-synthetic distinction and the classical model of science: Kant, Bolzano and Frege”, by Willem R. de Jong

2008

“Bolzanos zwei Substanzbegriffe. Anmerkungen zu Krauses Bolzano-Interpretation”, by Benjamin Schnieder

2007

“Mere Possibilities: A Bolzanian Approach to Non-Actual Objects”, by Benjamin Schnieder

2006

“Austrian philosophers on truth”, by Peter Simons
“Analyticity and logical truth: From Bolzano to Quine”, by Wolfgang Künne
“The great divide within Austrian philosophy: The synthetic a priori”, by Edgar Morscher

2005

“Bolzano and uniform continuity”, by Paul Rusnock and Angus Kerr-Lawson

2004

“Bolzano as Logician”, by Paul Rusnock and Rolf George

2003

“Bolzano sur la structure des propositions et le rôle sémantique des propriétés”, by Benjamin Schnieder
“Husserl Reader of Bolzano”, by Jan Šebestík

2002

“Bolzano’s Concept of Consequence”, by Mark Siebel
“Bolzano’s Theory of Ground and Consequence”, by Armin Tatzel
“Compatibility and relevance: Bolzano and Orlov”, by Werner Stelzner

2001

“Ontological Convictions and Epistemological Obstacles in Bolzano’s Elementary Geometry”, by Guillermina Waldegg
“Bernard Bolzano, Analyticity and the Aristotelian Model of Science”, by Willem R. de Jong
“Bolzano’s inheritance research in Bohemia”, by Magdalena Hykšová

2000

“Il problema dei fondamenti della matematica all’inizio dell’Ottocento. Due linee di pensiero: Bolzano e Gauss”, by Paolo Bussotti
“When, and why, did Frege read Bolzano?”, by Göran Sundholm
“From Bolzano’s Point of View”, by Jan Berg