PL EN

Journal

## Zagadnienia Filozoficzne w Nauce (Philosophical Problems in Science)

2009 | 44 | 100-115
Article title

### THE AMBIGUITIES ASSOCIATED WITH BERNARD BOLZANO'S 'DEFINITION' OF THE INFINITE SET (Niejasnosci zwiazane z Bernarda Bolzana 'definicja' zbioru nieskonczonego)

Authors
Title variants
Languages of publication
PL
Abstracts
EN
The aim of the paper is to remove the ambiguities contained in the 20th Section Bernard Bolzano's 'Paradoxien des Unendlichen'. Conclusion is that Bolzano originally wanted only to present in the 20th Section one of the (many) paradoxes of infinite sets: an infinite set may be equivalent with its subset. The proof in the 20th Section applies only to this property. Later added Bolzano to the text of the 20th Section a generalizing remark. Only this remark suggests that Bolzano anticipated the reflexive (Dedekindian) definition of the infinity set.
Keywords
EN
Discipline
Year
Issue
Pages
100-115
Physical description
Document type
ARTICLE
Contributors
author
• Jerzy Dadaczynski, ul. Lagiewnicka 17, 41-500 Chorzów, Poland
References
Document Type
Publication order reference
Identifiers
CEJSH db identifier
09PLAAAA065414