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Stupne nekonzistentnosti
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SYSNO ASEP 0383971 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Stupne nekonzistentnosti Title Degrees of Inconsistency Author(s) Kvasz, Ladislav (FLU-F) RID, ORCID, SAI Source Title Organon F. - : Veda - vydavatel'stvo SAV - ISSN 1335-0668
Roč. 19, Supp.1 (2012), s. 95-115Number of pages 21 s. Language slo - Slovak Country SK - Slovakia Keywords inconsistency ; theory of fluctions ; non-standard analysis Subject RIV AA - Philosophy ; Religion Institutional support FLU-F - RVO:67985955 UT WOS 000311655800007 EID SCOPUS 84870324462 Annotation Niektoré matematické teórie, ako napríklad Newtonova teória fluxií a fluents , Fregeho teórie základov aritmetiky, alebo Peanova teórie prirodzených čísel boli povodne sformulované v logicky nekonzistentnom tvare. Až pourčitej dobe boli nájdené konzistentné formulácie týchto teórií. Článok analyzuje niekoľko historických prípadov tejto "počiatočné nekonzistentnosti". Navrhuje rozlíšiť tri druhy nekonzistentnosti podľa "vzdialenosti" spornej teórie od svojej konzistentnej varianty. Tieto tri druhy zodpovedajú tomu, či bola potrebná re-formulácia, relativizácia alebo reprezentácia na pretvorenie nekonzistentnej teórie do konzistentnej podoby. Description in English Several mathematical theories,as for instance Newton's theory of fluxions and fluents, Frege's theory of the foundations of arithmetics, or Peano's theory of natural numbers were first formulated in a logically inconsistent form. Only after some period of time consistent formalations of these theories were found. The paper analyzes several historical cases of this "initial inconsistency". It suggests distinguishing three kinds of inconsistency according to the "distance" of the proposed inconsistent theory from its consistent variant. These three kinds correspond to whether re-formulations, relativizations or re-codings are needed for turning the inconsistent theory into a consistent one. Workplace Institute of Philosophy Contact Chlumská Simona, chlumska@flu.cas.cz ; Tichá Zuzana, asep@flu.cas.cz Tel: 221 183 360 Year of Publishing 2013
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