Formal Abstraction and its Problems in Aquinas

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Formal Abstraction and its Problems in Aquinas

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Formal Abstraction and its Problems in Aquinas

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

60301 - Philosophy, History and Philosophy of science and technology

Projekt

<a href="/cs/project/GA18-05838S" target="_blank" >GA18-05838S: Metafyzika vztahů ve druhé scholastice</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

American Catholic Philosophical Quarterly

ISSN

1051-3558

e-ISSN

—

Svazek periodika

96

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

20

Strana od-do

1-20

Kód UT WoS článku

000940888800001

EID výsledku v databázi Scopus

2-s2.0-85124558931