Question about transfinite numbers

In summary, transfinite numbers are numbers that represent quantities greater than any natural or finite number, including infinity. They are different from other numbers because they can represent infinite quantities. In mathematics, they are significant for the study of infinite and uncountable sets, and they have practical applications in fields such as computer science, physics, and economics. While they were initially a theoretical concept, they have proven to be useful in various practical applications as well.
  • #1
brianhurren
71
2
just a simple question, is there such a thing as Transfinite geometry?
 
Mathematics news on Phys.org
  • #2
There is geometry in infinite dimensional spaces. I would opine that Hibert spaces don't count as transfinite geometry.
 
  • Like
Likes topsquark
  • #3
Hornbein said:
There is geometry in infinite dimensional spaces.
I agree, but I don't think that there is such a thing as transfinite geometry.
 

Similar threads

Acceptance of transfinite numbers
Replies
2
Views
1K
I Venn diagram for the reals and transfinite numbers as sets
Replies
10
Views
3K
Question about infinite sets ?
Replies
8
Views
2K
Goodstein theorem without transfinite numbers?
Replies
2
Views
1K
What Are Codomains, Morphisms, and Transfinite Numbers in Mathematics?
Replies
2
Views
2K
What is the Role of Negentropy in the Origin of Life?
Replies
1
Views
384
I Help with basic transfinite induction proof
Replies
2
Views
1K
Vacuously True Starting Point in Transfinite Induction
Replies
17
Views
3K
I What is before the first transfinite ordinal, omega?
Replies
12
Views
3K
Cardinality of the set of ordinal numbers
Replies
4
Views
4K

Hot Threads

Recent Insights

Back
Top