Is there a connection between Borges' 'El Aleph' and Aleph0, C, and F?

  • Level: Graduate 
  • Thread starter Thread starter nahuel_pelado
  • Start date Start date
  • Tags Tags
    Numbers
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
Sign up Log in
1 reply · 3K views
nahuel_pelado
Messages
2
Reaction score
0
This is the question: Define Aleph0, C and F (this three are cardinal numbers) and also I want to know what is the relationship between them.

Explanation --> Aleph0 = Aleph-naught = Aleph zero = Aleph null
Explanation --> C = cardinality of the continuum = power of the continuum

There is a short story from Jorge Luis Borges called "El Aleph" and I would like to know if this story has some connection with the number Aleph0. Thanks for your help.

Link to the short story: http://www.phinnweb.org/links/literature/borges/aleph.html
 
Physics news on Phys.org

Discussion

What a phenomenal story! The math isn’t quite accurate, but it’s forgivable artistic license in light of Borges’ utterly engaging writing. (Cantor used an aleph ##\aleph_0## to denote the cardinality of the natural numbers. While it’s not true that any part of the natural numbers is the same as the whole, it is true that any infinite subset of the natural numbers has the same cardinality as the full set of natural numbers.)