Constructing Cantorian counterexamples

Journal of Philosophical Logic 26 (3):237-239 (1997)
Abstract
Cantor's diagonal argument provides an indirect proof that there is no one-one function from the power set of a set A into A. This paper provides a somewhat more constructive proof of Cantor's theorem, showing how, given a function f from the power set of A into A, one can explicitly define a counterexample to the thesis that f is one-one
Keywords Cantor  diagonal argument  set theory
Categories (categorize this paper)
Reprint years 2004
DOI 10.1023/A:1004209106100
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 26,146
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
The Mathematical Import of Zermelo's Well-Ordering Theorem.Akihiro Kanamori - 1997 - Bulletin of Symbolic Logic 3 (3):281-311.
Zermelo and Set Theory.Akihiro Kanamori - 2004 - Bulletin of Symbolic Logic 10 (4):487-553.

Add more citations

Similar books and articles

Monthly downloads

Added to index

2009-01-28

Total downloads

40 ( #125,832 of 2,151,996 )

Recent downloads (6 months)

3 ( #226,199 of 2,151,996 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums