Steve Russ. The mathematical works of Bernard Bolzano. Oxford: Oxford university press, 2004. Pp. XXX + 698. Isbn 0-19-853930- [Book Review]

Philosophia Mathematica 14 (3):352-362 (2006)
In his book on The Mathematics of Great Amateurs Coolidge starts the chapter on Bolzano saying that he included Bolzano because it seemed interesting to him ‘that a man who was a remarkable pulpit orator, only removed from his chair for his political opinions, should have thought so far into the deepest problems of a science which he never taught in a professional capacity’ [Coolidge, 1990, p. 195]. In fact, considering Bolzano's poor health and his enormous productivity in his ‘professional areas’, the results, the breadth and the extent of this ‘great amateur's’ thoughts on mathematics, and its proper scientific presentation are simply astonishing. Even this new selection of more than 650 printed pages of text, well edited and translated by Steve Russ, represents only a part of Bolzano's legacy on mathematical topics: the complete German edition of Bolzano's writings, the Bernard Bolzano-Gesamtausgabe edited by J. Berg, E. Morscher, B. van Rootselaar, and others is projected to include over 120 volumes of which more than 36 volumes will contain his mathematical works. About 25 volumes have been published so far in this mathematical subseries including Bolzano's extensive Miscellanea Mathematica .To most readers of this journal, Bolzano will be well-known for his contributions to logic—his ‘logic of variation’ is viewed as a precursor of the modern semantic conception of logical consequence—and his contributions to the foundations of calculus, especially his ‘purely analytic proof’ of the intermediate-value theorem and the Bolzano-Weierstrass theorem, or his early discovery of a counterintuitive function which is continuous in its domain, but nowhere-differentiable.Despite his lifelong interest in the foundations of mathematics, Bolzano studied theology and taught philosophy of religion in his native city, Prague, from 1805 until his dismissal in 1820. Part of Bolzano's duties …
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/philmat/nkl013
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
Download options
PhilPapers Archive

Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 23,209
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

13 ( #334,586 of 1,941,041 )

Recent downloads (6 months)

3 ( #272,533 of 1,941,041 )

How can I increase my downloads?

My notes
Sign in to use this feature

Start a new thread
There  are no threads in this forum
Nothing in this forum yet.