Function and Argument in Begriffsschrift

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985955%3A_____%2F17%3A00481510" target="_blank" >RIV/67985955:_____/17:00481510 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1080/01445340.2017.1354173" target="_blank" >http://dx.doi.org/10.1080/01445340.2017.1354173</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/01445340.2017.1354173" target="_blank" >10.1080/01445340.2017.1354173</a>

Result language

angličtina

Original language name

Function and Argument in Begriffsschrift

Original language description

It is well known that the formal system developed by Frege in Begriffsschrift is based upon the distinction between function and argumentas opposed to the traditional distinction between subject and predicate. Almost all of the modern commentaries on Frege's work suggest a semantic interpretation of this distinction, and identify it with the ontological structure of function and object, upon which Grundgesetze is based. Those commentaries agree that the system proposed by Frege in Begriffsschrift has some gaps, but it is taken as an essentially correct formal system for second-order logic: the first one in the history of logic. However, there is strong textual evidence that such an interpretation should be rejected. This evidence shows that the nature of the distinction between function and argument is stated by Frege in a significantly different way: it applies only to expressions and not to entities. The formal system based on this distinction is tremendously flexible and is suitable for making explicit the logical structure of contents as well as of deductive chains. We put forward a new reconstruction of the function-argument scheme and the quantification theory in Begriffsschrift. After that, we discuss the usual semantic interpretation of Begriffsschrift and show its inconsistencies with a rigorous reading of the text.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

60301 - Philosophy, History and Philosophy of science and technology

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

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

Name of the periodical

History and Philosophy of Logic

ISSN

0144-5340

e-ISSN

—

Volume of the periodical

38

Issue of the periodical within the volume

4

Country of publishing house

GB - UNITED KINGDOM

Number of pages

26

Pages from-to

316-341

UT code for WoS article

000413765300002

EID of the result in the Scopus database

2-s2.0-85026767695