Journal of Symbolic Logic 67 (4):1511-1519 (2002)

Abstract
We show, within the framework of Bishop's constructive mathematics, that (sequential) completeness of the locally convex space $\mathcal{D} (\mathbb{R})$ of test functions is equivalent to the principle BD-N which holds in classical mathemtatics, Brouwer's intuitionism and Markov's constructive recursive mathematics, but does not hold in Bishop's constructivism
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2178/jsl/1190150296
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: 53,548
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

Constructive Notions of Equicontinuity.Douglas S. Bridges - 2009 - Archive for Mathematical Logic 48 (5):437-448.
Intuitionistic Notions of Boundedness in ℕ.Fred Richman - 2009 - Mathematical Logic Quarterly 55 (1):31-36.
Reflections on Function Spaces.Douglas S. Bridges - 2012 - Annals of Pure and Applied Logic 163 (2):101-110.
Continuity Properties of Preference Relations.Marian A. Baroni & Douglas S. Bridges - 2008 - Mathematical Logic Quarterly 54 (5):454-459.

View all 6 citations / Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
224 ( #37,030 of 2,348,328 )

Recent downloads (6 months)
1 ( #510,851 of 2,348,328 )

How can I increase my downloads?

Downloads

My notes