About certain groups of classes of sets and their application to the definitions of numbers [Book Review]
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jonathan Jenkins Ichikawa
Jack Alan Reynolds
Learn more about PhilPapers
Studia Logica 34 (2):133 - 144 (1975)
The aim of the paper is to give a new definition of real number. The logical type of any number defined is that of the function B = h(A) which assigns to a class of sets A a class of sets B. I give some conditions which the function h has to fulfill to be considered as number; an intuitive sense of the conditions is as follows: a function, which is number, assigns a class of sets of measure h·m to a class A of sets of equal measure, where m is the measure of A
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
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.
Citations of this work BETA
No citations found.
Similar books and articles
Andrej Nowik, Marion Scheepers & Tomasz Weiss (1998). The Algebraic Sum of Sets of Real Numbers with Strong Measure Zero Sets. Journal of Symbolic Logic 63 (1):301-324.
Antonin Kučera & Sebastiaan A. Terwijn (1999). Lowness for the Class of Random Sets. Journal of Symbolic Logic 64 (4):1396-1402.
Mark F. Sharlow (1987). Proper Classes Via the Iterative Conception of Set. Journal of Symbolic Logic 52 (3):636-650.
Yaroslav D. Sergeyev (2008). A New Applied Approach for Executing Computations with Infinite and Infinitesimal Quantities. Informatica 19 (4):567-596.
Jan Kraszewski (2001). Properties of Ideals on the Generalized Cantor Spaces. Journal of Symbolic Logic 66 (3):1303-1320.
Zvonimir Šikić (1996). What Are Numbers? International Studies in the Philosophy of Science 10 (2):159-171.
Zvonimir Šikić (1996). What Are Numbers? International Studies in the Philosophy of Science 10 (2):159 – 171.
Kevin C. Klement, Russell's Paradox. Internet Encyclopedia of Philosophy.
Paul Corazza (1992). Ramsey Sets, the Ramsey Ideal, and Other Classes Over R. Journal of Symbolic Logic 57 (4):1441 - 1468.
John P. Burgess (1988). Sets and Point-Sets: Five Grades of Set-Theoretic Involvement in Geometry. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:456 - 463.
Added to index2009-01-28
Total downloads10 ( #352,056 of 1,935,135 )
Recent downloads (6 months)1 ( #434,530 of 1,935,135 )
How can I increase my downloads?