Logica Universalis:1-27 (forthcoming)

Abstract
In his Doppelvortrag, Edmund Husserl introduced two concepts of “definiteness” which have been interpreted as a vindication of his role in the history of completeness. Some commentators defended that the meaning of these notions should be understood as categoricity, while other scholars believed that it is closer to syntactic completeness. A detailed study of the early twentieth-century axiomatics and Husserl’s Doppelvortrag shows, however, that many concepts of completeness were conflated as equivalent. Although “absolute definiteness” was principally an attempt to characterize non-extendible manifolds and axiom systems, an absolutely definite theory has a unique model and, thus, it is non-forkable and semantically complete. Non-forkability and decidability were formally delimited by Fraenkel and Carnap almost three decades later and, in fact, they mentioned Husserl as precursor of the latter. Therefore, this paper contributes to a reassessment of Husserl’s place in the history of logic.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/s11787-021-00283-4
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 65,593
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Husserl and Hilbert on Completeness, Still.Jairo Silva - 2016 - Synthese 193 (6):1925-1947.
The Completeness of Carnap's Predicate Logic.Max Cresswell - 2014 - Australasian Journal of Logic 11 (1).
The Many Senses of Completeness.Jairo da Silva - 2000 - Manuscrito 23 (2):41-60.
Husserl and Carnap on Regions and Formal Categories.Ansten Klev - 2017 - In Stefania Centrone (ed.), Essays on Husserl’s Logic and Philosophy of Mathematics. Dordrecht: Springer Verlag. pp. 409-429.
Husserl on Completeness, Definitely.Mirja Hartimo - 2018 - Synthese 195 (4):1509-1527.

Analytics

Added to PP index
2021-07-23

Total views
19 ( #568,366 of 2,462,067 )

Recent downloads (6 months)
19 ( #41,437 of 2,462,067 )

How can I increase my downloads?

Downloads

My notes