Cognitive Unity of Thales’ Mathematics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985955%3A_____%2F20%3A00539246" target="_blank" >RIV/67985955:_____/20:00539246 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11410/20:10465767
Result on the web
<a href="https://doi.org/10.1007/s10699-019-09622-7" target="_blank" >https://doi.org/10.1007/s10699-019-09622-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10699-019-09622-7" target="_blank" >10.1007/s10699-019-09622-7</a>
Alternative languages
Result language
angličtina
Original language name
Cognitive Unity of Thales’ Mathematics
Original language description
The aim of the paper is to argue for the cognitive unity of the mathematical results ascribed by ancient authors to Thales. These results are late ascriptions and so it is difficult to say anything certain about them on philological grounds. I will seek characteristic features of the cognitive unity of the mathematical results ascribed to Thales by comparing them with Galilean physics. This might seem at a first sight a rather unusual move. Nevertheless, I suggest viewing the process of turning geometry into an axiomatic-deductive science as a process of idealization in mathematics that is parallel to the process of idealization in physics. In Kvasz (Acta Phys Slovaca 62:519–614, 2012) I offered an epistemological reconstruction of the process of idealization in physics during the scientific revolution of the seventeenth century. In the present paper I try to employ these epistemological insights in the process of idealization in physics and propose a reconstruction of the cognitive unity of the mathematical results ascribed to Thales, who can, on the basis of these ascriptions, be seen as one of the initiators of idealization in mathematics.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
60301 - Philosophy, History and Philosophy of science and technology
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Foundations of Science
ISSN
1233-1821
e-ISSN
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Volume of the periodical
25
Issue of the periodical within the volume
3
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
17
Pages from-to
737-753
UT code for WoS article
000560722300012
EID of the result in the Scopus database
2-s2.0-85072174101