The renaissance of numbers: On continuity, nature of complex numbers and the symbolic turn
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11620%2F21%3A10440340" target="_blank" >RIV/00216208:11620/21:10440340 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=qJ4GhnfH7T" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=qJ4GhnfH7T</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5507/aither.2020.005" target="_blank" >10.5507/aither.2020.005</a>
Alternative languages
Result language
angličtina
Original language name
The renaissance of numbers: On continuity, nature of complex numbers and the symbolic turn
Original language description
The paper presents an analysis of imaginary quantity before Gauss based on the notion of continuity and symbolic representation. Its aim is to uncover subtle roots of the "impossible", "sophisticated" or "absurd" entities that, as we claim, stem from the Renaissance notion of nature and from the "symbolic turn" which occurred in that period. In order to grant impossible quantities a reasonable (operational) meaning, it is necessary to establish an equation (formal continuity) between real and imaginary. It is possible only if the real is in a sense subsumed within the symbolic which holds paradigmatically for the notions of number and magnitude. For, once number and magnitude become symbolic representations of the same universal intellectual matter of quantity, an operational analogy and continuity between them may be established. Three "continuities" shall be distinguished on the path to such "universal mathematics" at the end of which the imaginary entities may acquire the citizenship in the Republic of numbers.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10700 - Other natural sciences
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Aither [online]
ISSN
1803-7860
e-ISSN
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Volume of the periodical
2020
Issue of the periodical within the volume
7/8
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
28
Pages from-to
58-85
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85116693736