Continuum, Name, and Paradox

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11210%2F10%3A10056984" target="_blank" >RIV/00216208:11210/10:10056984 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s11229-009-9527-7" target="_blank" >http://dx.doi.org/10.1007/s11229-009-9527-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11229-009-9527-7" target="_blank" >10.1007/s11229-009-9527-7</a>

Result language
angličtina
Original language name
Continuum, Name, and Paradox
Original language description
The article deals with Cantor's argument for the non-denumerability of reals somewhat in the spirit of Lakatos' logic of mathematical discovery. At the outset Cantor's proof is compared with some other famous proofs such as Dedekind's recursion theorem,showing that rather than usual proofs they are resolutions to do things differently. Based on this I argue that there are "ontologically" safer ways of developing the diagonal argument into a full-fledged theory of continuum, concluding eventually that famous semantic paradoxes based on diagonal construction are caused by superficial understanding of what a name is.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
AA - Philosophy and religion
OECD FORD branch
—

Project
<a href="/en/project/GA401%2F06%2F0387" target="_blank" >GA401/06/0387: Inferentialist foundations of logic and semantics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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