Cardinal number: irrationals vs fractals

  • #1
Loren Booda
3,099
4
How does the cardinal number for the set of irrational numbers compare to that for a fractal set?
 

Answers and Replies

  • #2
mathman
Science Advisor
8,057
539
Cardinal number for irrationals is the same as for reals, i.e. c. Fractals (if I understand what you are driving at) form a continuous subset of the plane. Since the cardinality of points in the plane is also c, any continuous subset will have cardinality c.
 

Suggested for: Cardinal number: irrationals vs fractals

Replies
4
Views
3K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
0
Views
719
  • Last Post
Replies
0
Views
872
  • Last Post
Replies
1
Views
936
  • Last Post
Replies
5
Views
956
  • Last Post
Replies
5
Views
9K
  • Last Post
Replies
26
Views
3K
  • Last Post
Replies
18
Views
5K
  • Last Post
Replies
8
Views
6K
Top