PL EN


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)

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.
Contributors
  • Jerzy Dadaczynski, ul. Lagiewnicka 17, 41-500 Chorzów, Poland
References
Document Type
Publication order reference
Identifiers
CEJSH db identifier
09PLAAAA065414
YADDA identifier
bwmeta1.element.263e2efc-11c6-3fad-bae5-4d00dc93f1a1
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.