iskm/learnxinyminutes-docs
1
0
Fork 0
mirror of https://github.com/adambard/learnxinyminutes-docs.git synced 2024-12-23 17:41:41 +00:00
Code Issues Actions Packages Projects Releases Wiki Activity

Fix: Cardinality of an empty set is 0

Browse Source 
Citations:
- JMoravitz (https://math.stackexchange.com/users/179297/jmoravitz), What is the cardinality of the set of the empty set?, URL (version: 2016-01-13): https://math.stackexchange.com/q/1610231
- Wikipedia contributors. (2020, September 25). Empty set. In Wikipedia, The Free Encyclopedia. Retrieved 06:50, September 29, 2020, from https://en.wikipedia.org/w/index.php?title=Empty_set&oldid=980302053
This commit is contained in:
Pavitra Golchha 2020-09-29 12:21:58 +05:30 committed by GitHub
parent 6e4b3a5f31
commit 7d927011da
No known key found for this signature in database
GPG Key ID: 4AEE18F83AFDEB23
1 changed files with 1 additions and 1 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

2
set-theory.html.markdown
View File

@ -44,7 +44,7 @@ For example, if `S = { 1, 2, 4 }`, then `|S| = 3`.
* The empty set can be constructed in set builder notation using impossible conditions, e.g. `∅ = { x : x =/= x }`, or `∅ = { x : x ∈ N, x < 0 }`; * The empty set can be constructed in set builder notation using impossible conditions, e.g. `∅ = { x : x =/= x }`, or `∅ = { x : x ∈ N, x < 0 }`;
* the empty set is always unique (i.e. there is one and only one empty set); * the empty set is always unique (i.e. there is one and only one empty set);
* the empty set is a subset of all sets; * the empty set is a subset of all sets;
* the cardinality of the empty set is 1, i.e. `|∅| = 1`. * the cardinality of the empty set is 0, i.e. `|∅| = 0`.
## Representing sets ## Representing sets