Formal Abstraction and its Problems in Aquinas
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985955%3A_____%2F22%3A00557429" target="_blank" >RIV/67985955:_____/22:00557429 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.5840/acpq20211223243" target="_blank" >https://doi.org/10.5840/acpq20211223243</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5840/acpq20211223243" target="_blank" >10.5840/acpq20211223243</a>
Alternative languages
Result language
angličtina
Original language name
Formal Abstraction and its Problems in Aquinas
Original language description
Formal abstraction is a key instrument Aquinas employs to secure the possibility of mathematics conceived as a theoretical Aristotelian science. In this concept, mathematics investigates quantitative beings, which are grasped by means of formal abstraction in their necessary, universal, and changeless properties. Based on this, the paper divides into two main parts. In the first part (section II) I explicate Aquinas’s conception of (formal) abstraction against the background of the Aristotelian theory of science and mathematics. In the second part (section III) I present and critically assess the problems associated with formal abstraction in mathematics. With all due respect to Aquinas’s genius, I find his conception of formal abstraction (as well as mathematics) unsatisfactory and list the main reasons for its failure in the conclusion.
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
<a href="/en/project/GA18-05838S" target="_blank" >GA18-05838S: The Metaphysics of Relations in Second Scholasticism</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
American Catholic Philosophical Quarterly
ISSN
1051-3558
e-ISSN
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Volume of the periodical
96
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
1-20
UT code for WoS article
000940888800001
EID of the result in the Scopus database
2-s2.0-85124558931