Logic and Sets

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985955%3A_____%2F20%3A00524665" target="_blank" >RIV/67985955:_____/20:00524665 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.12775/LLP.2019.023" target="_blank" >http://dx.doi.org/10.12775/LLP.2019.023</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.12775/LLP.2019.023" target="_blank" >10.12775/LLP.2019.023</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Logic and Sets

Popis výsledku v původním jazyce

The notion of the extension of a concept has been used in logic for a long time. It is usually considered to be closely connected to the intuitive notion of a set and thus seems as though it should be embedded into set theory. However, there are significant differences between this “logical” concept of set and the notion of set (class) as defined via standard axiomatic systems of set theory, it may, therefore, be quite misleading to consider the two concepts as being continuous with each other. When we look at the writings of Gottlob Frege and consider the development of his attitude to extensions, we can see what the differences consist in and which of the two notions is more apt to be used in foundations of logic. Frege himself eventually rejected sets entirely.

Název v anglickém jazyce

Logic and Sets

Popis výsledku anglicky

The notion of the extension of a concept has been used in logic for a long time. It is usually considered to be closely connected to the intuitive notion of a set and thus seems as though it should be embedded into set theory. However, there are significant differences between this “logical” concept of set and the notion of set (class) as defined via standard axiomatic systems of set theory, it may, therefore, be quite misleading to consider the two concepts as being continuous with each other. When we look at the writings of Gottlob Frege and consider the development of his attitude to extensions, we can see what the differences consist in and which of the two notions is more apt to be used in foundations of logic. Frege himself eventually rejected sets entirely.

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/GA17-15645S" target="_blank" >GA17-15645S: Logické modely usuzování a argumentace v přirozeném jazyce</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Logic and Logical Philosophy

ISSN

1425-3305

e-ISSN

—

Svazek periodika

29

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

PL - Polská republika

Počet stran výsledku

25

Strana od-do

71-95

Kód UT WoS článku

000514201100005

EID výsledku v databázi Scopus

2-s2.0-85083792322