Undergrad A quick question regarding the application of Aleph numbers to reality

Click For Summary
Aleph numbers represent different sizes of infinity and do not limit the concept of infinity itself. They arise from Cantor's distinction between countable and uncountable infinities, expanding the understanding of infinity in mathematics. While Aleph numbers are primarily theoretical, their implications raise questions about their application in measuring aspects of reality, such as space and time. The discussion highlights a curiosity about whether these mathematical concepts can have practical scientific relevance. Overall, Aleph numbers remain a fascinating topic in the exploration of infinity.
Happyman101
Messages
1
Reaction score
0
Hi everyone,

I have a quick question about Aleph numbers. Are they even possible? By containing infinity to a finite set, isn’t that essentially disproving the infinity in the first place? Can they be used in an actual scenario’s, or are they just purely hypothetical? Can they be used to measure space, time, and dimensionality? Universes and/or multiverses? Are they scientifically possible?

Thanks for the help.
 
Physics news on Phys.org
Aleph numbers are a way of counting types of infinities and have nothing to do with limiting the infiniteness of any infinity.

When infinity first came into existence in math, it was simply infinity.

However, after Cantor described countable infinities vs uncountable infinities the notion of types of infinities was born and so was the idea of wondering about other types of infinities.

https://en.wikipedia.org/wiki/Aleph_number
 
Reply
  • Like
  • Informative
Likes Klystron and FactChecker

Thread 'Two interesting number theory tricks'

First trick I learned this one a long time ago and have used it to entertain and amuse young kids. Ask your friend to write down a three-digit number without showing it to you. Then ask him or her to rearrange the digits to form a new three-digit number. After that, write whichever is the larger number above the other number, and then subtract the smaller from the larger, making sure that you don't see any of the numbers. Then ask the young "victim" to tell you any two of the digits of the...
View full post »

Similar threads

High School Does Infinity Times Two Equal Infinity and Other Mathematical Paradoxes?
  • · Replies 7 ·
Replies
7
Views
2K
Admissions Seeking Feedback on my Physics Personal Statement for Uni Application
  • · Replies 3 ·
Replies
3
Views
2K
Graduate "Monstrous Higgs and Leech Spacetime"
  • · Replies 0 ·
Replies
0
Views
4K
Undergrad What Does Gauge Invariance Tell Us About Reality?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Time travel is a fact or fiction.?
  • · Replies 9 ·
Replies
9
Views
3K
Strong law of large numbers - help understanding it
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Trying To Conceptualize Two Dimensions Of Time
  • · Replies 2 ·
Replies
2
Views
5K
Is mathematics invented or discovered?
  • · Replies 2 ·
Replies
2
Views
463
The reality of Configuration space
  • · Replies 94 ·
4
Replies
94
Views
27K
Writing: Input Wanted Civilians in Space vs. Professionalism and Military Decorum
  • · Replies 7 ·
Replies
7
Views
3K