The Definitions of Number in Boethius’s Introduction to Arithmetic

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17250%2F22%3AA2302F9B" target="_blank" >RIV/61988987:17250/22:A2302F9B - isvavai.cz</a>

Výsledek na webu

<a href="https://zenodo.org/record/6324938#.YoSr66hByUk" target="_blank" >https://zenodo.org/record/6324938#.YoSr66hByUk</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.5281/zenodo.6241982" target="_blank" >10.5281/zenodo.6241982</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The Definitions of Number in Boethius’s Introduction to Arithmetic

Popis výsledku v původním jazyce

The paper enquires into the reasons why Boethius altered the passage addressing the definition of number in his loose translation of Introduction to Arithmetic by the Neopythagorean philosopher and mathematician Nicomachus of Gerasa. While Nicomachus’s text contains three definitions of number, Boethius lists only two. However, he also pays attention to the definition he omits, even though he does not regard it as a proper definition. In his view it fails to embody the essence of number, and is to be understood as a description of the components constitutive of the substance of number. Although this is a possible explanation of Boethius’s dismissal of the definition provided by Nicomachus, the description also occupies an important place in relation to the general characteristic of number, because Nicomachus’s definitions fully correspond to the three basic topics which were central to contemporary arithmetic, viz. the science of number: number as discrete quantity, referring to the properties of numbers and their classifications; number as collection of units, leading to the topic of figural numbers; and number as quantity emanating from unit and subsequently returning to it, corresponding with numerical ratios, sequences and their transfers.

Název v anglickém jazyce

The Definitions of Number in Boethius’s Introduction to Arithmetic

Popis výsledku anglicky

The paper enquires into the reasons why Boethius altered the passage addressing the definition of number in his loose translation of Introduction to Arithmetic by the Neopythagorean philosopher and mathematician Nicomachus of Gerasa. While Nicomachus’s text contains three definitions of number, Boethius lists only two. However, he also pays attention to the definition he omits, even though he does not regard it as a proper definition. In his view it fails to embody the essence of number, and is to be understood as a description of the components constitutive of the substance of number. Although this is a possible explanation of Boethius’s dismissal of the definition provided by Nicomachus, the description also occupies an important place in relation to the general characteristic of number, because Nicomachus’s definitions fully correspond to the three basic topics which were central to contemporary arithmetic, viz. the science of number: number as discrete quantity, referring to the properties of numbers and their classifications; number as collection of units, leading to the topic of figural numbers; and number as quantity emanating from unit and subsequently returning to it, corresponding with numerical ratios, sequences and their transfers.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

60301 - Philosophy, History and Philosophy of science and technology

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název periodika

Philosophical Readings

ISSN

2036-4989

e-ISSN

—

Svazek periodika

—

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

IT - Italská republika

Počet stran výsledku

11

Strana od-do

16-26

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85129713417