Namespaces
Variants
Actions

Difference between revisions of "Talk:Countable set"

From Encyclopedia of Mathematics
Jump to: navigation, search
(Created page with "==Countable vs counted== Some authors distinguish between a countable set and a ''counted'' set, a pair $(X,f)$ consisting of a set $X$ and a bijection between $X$ and the set...")
 
(better)
Line 1: Line 1:
 
==Countable vs counted==
 
==Countable vs counted==
Some authors distinguish between a countable set and a ''counted'' set, a pair $(X,f)$ consisting of a set $X$ and a bijection between $X$ and the set $\mathbf{N}$ of natural numbers: the theorem that is mentioned then becomes that a counted union of counted sets is counted.
+
Some authors distinguish between a countable set and a ''counted'' set, a pair $(X,f)$ consisting of a set $X$ and a bijection between $X$ and (a subset of) the set $\mathbf{N}$ of natural numbers: the theorem that is mentioned then becomes that a counted union of counted sets is counted. [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 20:44, 18 January 2018 (CET)
  
 
====References====
 
====References====
 
* T.E Forster, "Logic, Induction and Sets", Cambridge University Press (2003) ISBN 0-521-53361-9
 
* T.E Forster, "Logic, Induction and Sets", Cambridge University Press (2003) ISBN 0-521-53361-9

Revision as of 19:44, 18 January 2018

Countable vs counted

Some authors distinguish between a countable set and a counted set, a pair $(X,f)$ consisting of a set $X$ and a bijection between $X$ and (a subset of) the set $\mathbf{N}$ of natural numbers: the theorem that is mentioned then becomes that a counted union of counted sets is counted. Richard Pinch (talk) 20:44, 18 January 2018 (CET)

References

  • T.E Forster, "Logic, Induction and Sets", Cambridge University Press (2003) ISBN 0-521-53361-9
How to Cite This Entry:
Countable set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Countable_set&oldid=42749