Grazer Philosophische Studien 53 (1):87-108 (1997)

Authors
Peter Simons
Trinity College, Dublin
Abstract
Bolzano's theory of collections has usually been taken as a rudimentary set theory. More recently, Frank Krickel has claimed it is a mereology. I find both interpretations wanting. Bolzano's theory is, as I show, extremely broad in scope; it is in fact a general theory of collective entities, including the concrete wholes of mereology, classes-as-many, and many empirical collections. By extending Bolzano's ideas to embrace the three factors of kind, components and mode of combination, one may develop a coherent general account of collections. But it is most difficult to take Bolzano's view to fit modern set theory. So while Krickel's positive thesis is rejected, his negative thesis is confirmed.
Keywords Analytic Philosophy
Categories (categorize this paper)
ISBN(s) 0165-9227
DOI gps1997535
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 65,593
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

Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
Mass Nouns and Plural Logic.David Nicolas - 2008 - Linguistics and Philosophy 31 (2):211-244.
Bolzano's Theory of Ground and Consequence.Armin Tatzel - 2002 - Notre Dame Journal of Formal Logic 43 (1):1-25.
On Bolzano's Concept of a Sum.Paul Rusnock - 2013 - History and Philosophy of Logic 34 (2):155 - 169.

View all 15 citations / Add more citations

Similar books and articles

On Bolzano's Concept of a Sum.Paul Rusnock - 2013 - History and Philosophy of Logic 34 (2):155 - 169.
Bolzano sur les nombres.Peter Simons - 2003 - Philosophiques 30 (1):127-135.
Bolzano's Logical System.Ettore Casari - 2016 - Oxford, England: Oxford University Press UK.
Bolzano's Sententialism.Mark Textor - 1997 - Grazer Philosophische Studien 53 (1):181-202.
Bolzano on Beauty.Paisley Nathan Livingston - 2014 - British Journal of Aesthetics 54 (3):269-284.
Bolzano's Notion of Testifying.Carsten Uwe Gieske - 1997 - Grazer Philosophische Studien 53 (1):249-266.
Bolzano's Sententialism.Mark Textor - 1997 - Grazer Philosophische Studien 53 (1):181-202.
Bolzano, the Prescient Encyclopedist.Jan Berg - 1997 - Grazer Philosophische Studien 53 (1):13-32.
Bolzano, the Prescient Encyclopedist.Jan Berg - 1997 - Grazer Philosophische Studien 53 (1):13-32.
Bolzano on Necessary Existence.Stefan Roski & Paul Rusnock - 2014 - Archiv für Geschichte der Philosophie 96 (3):320-359.

Analytics

Added to PP index
2013-04-04

Total views
97 ( #114,267 of 2,462,111 )

Recent downloads (6 months)
7 ( #101,423 of 2,462,111 )

How can I increase my downloads?

Downloads

My notes