Mathematical Logic Quarterly 40 (1):69-75 (1994)

Abstract
In conventional generalization of the main results of classical measure theory to Stone algebra valued measures, the values that measures and functions can take are Booleanized, while the classical notion of a σ-field is retained. The main purpose of this paper is to show by abundace of illustrations that if we agree to Booleanize the notion of a σ-field as well, then all the glorious legacy of classical measure theory is preserved completely
Keywords Stone algebra valued measures  Boolean valued analysis  Radon‐Nikodym theorems
Categories (categorize this paper)
DOI 10.1002/malq.19940400110
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: 64,209
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

Two Applications of Logic to Mathematics.Gaisi Takeuti - 1955 - Princeton University Press.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Boolean Deductive Systems of BL-Algebras.Esko Turunen - 2001 - Archive for Mathematical Logic 40 (6):467-473.
On an Algebra of Lattice-Valued Logic.Lars Hansen - 2005 - Journal of Symbolic Logic 70 (1):282 - 318.
Boolean Valued Lie Algebras.Hirokazu Nishimura - 1991 - Journal of Symbolic Logic 56 (2):731-741.
Strictly Positive Measures on Boolean Algebras.Mirna Džamonja & Grzegorz Plebanek - 2008 - Journal of Symbolic Logic 73 (4):1416-1432.
Some Boolean Valued Commutative Algebra.Hirokazu Nishimura - 1991 - Mathematical Logic Quarterly 37 (23‐24):367-384.
Representation and Extension of States on MV-Algebras.TomአKroupa - 2006 - Archive for Mathematical Logic 45 (4):381-392.
Minimum‐Sized Infinite Partitions of Boolean Algebras.J. Donald Monk - 1996 - Mathematical Logic Quarterly 42 (1):537-550.
On Vaught’s Conjecture and Finitely Valued MV Algebras.Antonio Di Nola & Giacomo Lenzi - 2012 - Mathematical Logic Quarterly 58 (3):139-152.
Process Algebra with Four-Valued Logic.Jan A. Bergstra & Alban Ponse - 2000 - Journal of Applied Non-Classical Logics 10 (1):27-53.
How to Avoid Deviance (in Logic).Walter Sinnott-Armstrong & Amit Malhotra - 2002 - History and Philosophy of Logic 23 (3):215--36.

Analytics

Added to PP index
2013-12-01

Total views
23 ( #476,590 of 2,455,351 )

Recent downloads (6 months)
1 ( #449,153 of 2,455,351 )

How can I increase my downloads?

Downloads

My notes