Aksjomat wyboru w pracach Wacława Sierpińskiego

This paper presents Wacław Sierpiński – the first advocate of the axiom of choice. We focus on the philosophical and mathematical topics related to the axiom of choice which were considered by Sierpiński. We analyze some of his papers to show how his results effected the debate over Zermelo’s axiom....
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Autor*in:	Katarzyna Lewandowska [verfasserIn]

Format:	E-Artikel
Sprache:	Deutsch ; Englisch ; Französisch ; Polnisch

Erschienen:	2013

Schlagwörter:	axiom of choice philosophy of mathematics set theory cardinality mathematical analysis

Übergeordnetes Werk:	In: Zagadnienia Filozoficzne w Nauce - Copernicus Center Press, 2018, 52(2013), Seite 9-33
Übergeordnetes Werk:	volume:52 ; year:2013 ; pages:9-33

Links:	Link aufrufen Link aufrufen Journal toc Journal toc

Katalog-ID:	DOAJ044764162

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spelling	(DE-627)DOAJ044764162 (DE-599)DOAJ565e0354bb734d3284dcea4509602a14 DE-627 ger DE-627 rakwb ger eng fre pol B1-5802 Katarzyna Lewandowska verfasserin aut Aksjomat wyboru w pracach Wacława Sierpińskiego 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper presents Wacław Sierpiński – the first advocate of the axiom of choice. We focus on the philosophical and mathematical topics related to the axiom of choice which were considered by Sierpiński. We analyze some of his papers to show how his results effected the debate over Zermelo’s axiom. Sierpiński’s impact on this discussion is of particular importance since he was the first who tried to explore consequences of the axiom of choice thoroughly and asserted its undoubted significance to mathematics as a whole. axiom of choice philosophy of mathematics set theory cardinality mathematical analysis Philosophy (General) In Zagadnienia Filozoficzne w Nauce Copernicus Center Press, 2018 52(2013), Seite 9-33 (DE-627)73335906X (DE-600)2696042-4 24510602 nnns volume:52 year:2013 pages:9-33 https://doaj.org/article/565e0354bb734d3284dcea4509602a14 kostenfrei http://zfn.edu.pl/index.php/zfn/article/view/71 kostenfrei https://doaj.org/toc/0867-8286 Journal toc kostenfrei https://doaj.org/toc/2451-0602 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_374 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2863 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4367 GBV_ILN_4700 AR 52 2013 9-33
allfields_unstemmed	(DE-627)DOAJ044764162 (DE-599)DOAJ565e0354bb734d3284dcea4509602a14 DE-627 ger DE-627 rakwb ger eng fre pol B1-5802 Katarzyna Lewandowska verfasserin aut Aksjomat wyboru w pracach Wacława Sierpińskiego 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper presents Wacław Sierpiński – the first advocate of the axiom of choice. We focus on the philosophical and mathematical topics related to the axiom of choice which were considered by Sierpiński. We analyze some of his papers to show how his results effected the debate over Zermelo’s axiom. Sierpiński’s impact on this discussion is of particular importance since he was the first who tried to explore consequences of the axiom of choice thoroughly and asserted its undoubted significance to mathematics as a whole. axiom of choice philosophy of mathematics set theory cardinality mathematical analysis Philosophy (General) In Zagadnienia Filozoficzne w Nauce Copernicus Center Press, 2018 52(2013), Seite 9-33 (DE-627)73335906X (DE-600)2696042-4 24510602 nnns volume:52 year:2013 pages:9-33 https://doaj.org/article/565e0354bb734d3284dcea4509602a14 kostenfrei http://zfn.edu.pl/index.php/zfn/article/view/71 kostenfrei https://doaj.org/toc/0867-8286 Journal toc kostenfrei https://doaj.org/toc/2451-0602 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_374 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2863 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4367 GBV_ILN_4700 AR 52 2013 9-33
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callnumber-first	B - Philosophy, Psychology, Religion
author	Katarzyna Lewandowska
spellingShingle	Katarzyna Lewandowska misc B1-5802 misc axiom of choice misc philosophy of mathematics misc set theory misc cardinality misc mathematical analysis misc Philosophy (General) Aksjomat wyboru w pracach Wacława Sierpińskiego
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topic_title	B1-5802 Aksjomat wyboru w pracach Wacława Sierpińskiego axiom of choice philosophy of mathematics set theory cardinality mathematical analysis
topic	misc B1-5802 misc axiom of choice misc philosophy of mathematics misc set theory misc cardinality misc mathematical analysis misc Philosophy (General)
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title	Aksjomat wyboru w pracach Wacława Sierpińskiego
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title_sort	aksjomat wyboru w pracach wacława sierpińskiego
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title_auth	Aksjomat wyboru w pracach Wacława Sierpińskiego
abstract	This paper presents Wacław Sierpiński – the first advocate of the axiom of choice. We focus on the philosophical and mathematical topics related to the axiom of choice which were considered by Sierpiński. We analyze some of his papers to show how his results effected the debate over Zermelo’s axiom. Sierpiński’s impact on this discussion is of particular importance since he was the first who tried to explore consequences of the axiom of choice thoroughly and asserted its undoubted significance to mathematics as a whole.
abstractGer	This paper presents Wacław Sierpiński – the first advocate of the axiom of choice. We focus on the philosophical and mathematical topics related to the axiom of choice which were considered by Sierpiński. We analyze some of his papers to show how his results effected the debate over Zermelo’s axiom. Sierpiński’s impact on this discussion is of particular importance since he was the first who tried to explore consequences of the axiom of choice thoroughly and asserted its undoubted significance to mathematics as a whole.
abstract_unstemmed	This paper presents Wacław Sierpiński – the first advocate of the axiom of choice. We focus on the philosophical and mathematical topics related to the axiom of choice which were considered by Sierpiński. We analyze some of his papers to show how his results effected the debate over Zermelo’s axiom. Sierpiński’s impact on this discussion is of particular importance since he was the first who tried to explore consequences of the axiom of choice thoroughly and asserted its undoubted significance to mathematics as a whole.
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title_short	Aksjomat wyboru w pracach Wacława Sierpińskiego
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