Synthese 193 (6):1925-1947 (2016)

Authors
Abstract
In the first year of the twentieth century, in Gottingen, Husserl delivered two talks dealing with a problem that proved central in his philosophical development, that of imaginary elements in mathematics. In order to solve this problem Husserl introduced a logical notion, called “definiteness”, and variants of it, that are somehow related, he claimed, to Hilbert’s notions of completeness. Many different interpretations of what precisely Husserl meant by this notion, and its relations with Hilbert’s ones, have been proposed, but no consensus has been reached. In this paper I approach this question afresh and thoroughly, taking into consideration not only the relevant texts and context, as others have also done before, but, more importantly, Husserl’s philosophy, his intuition-based epistemology in particular. Based on a system of clearly defined concepts that I here present, I reinforce an interpretation—definiteness as a form of syntactic completeness—that has, I believe, some advantages vis-à-vis alternative interpretations. It is in conformity with the available texts; it makes clear that Husserl’s notion of definiteness is indeed close to Hilbert’s notions of completeness; it solves the important problem of imaginaries for which it was created; and last, but not least, it fits naturally into Husserl’s system of concepts and ideas.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s11229-015-0821-2
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 69,979
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

Husserl on Completeness, Definitely.Mirja Hartimo - 2018 - Synthese 195 (4):1509-1527.
Husserl, Model Theory, and Formal Essences.Kyle Banick - 2021 - Husserl Studies 37 (2):103-125.
Widersinn in Husserl’s Pure Logic.Manuel Gustavo Isaac - 2016 - Logica Universalis 10 (4):419-430.

View all 6 citations / Add more citations

Similar books and articles

The Many Senses of Completeness.Jairo da Silva - 2000 - Manuscrito 23 (2):41-60.
Husserl and Hilbert on Completeness.Ulrich Majer - 1997 - Synthese 110 (1):37-56.
Husserl y Las Aporías de la Intersubjetividad.Stâle R. S. Finke - 1993 - Anuario Filosófico 26 (2):327-360.
Husserl’s Evidence Problem.Ülker Öktem - 2009 - Indo-Pacific Journal of Phenomenology 9 (1):1-14.
Husserl on Analyticity and Beyond.Guillermo E. Rosado Haddock - 2008 - Husserl Studies 24 (2):131-140.
Completeness: From Gödel to Henkin.Maria Manzano & Enrique Alonso - 2014 - History and Philosophy of Logic 35 (1):1-26.
Husserl's Presuppositionless Philosophy.Teresa Reed-Downing - 1990 - Research in Phenomenology 20 (1):136-151.

Analytics

Added to PP index
2016-06-21

Total views
21 ( #534,285 of 2,505,145 )

Recent downloads (6 months)
1 ( #416,587 of 2,505,145 )

How can I increase my downloads?

Downloads

My notes