How is Inaccessible Cardinal Written?

  • Context: Graduate 
  • Thread starter Thread starter shintashi
  • Start date Start date
  • Tags Tags
    Infinity
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
4 replies · 3K views
shintashi
Messages
117
Reaction score
1
I'm writing some notes on set theory, Aleph Null, etc., and was wondering if there's a Notation or Symbol that abbreviates this (inaccessible/strong/uncountable etc. cardinals). I'm not sure if I've seen notation before but it seems like symbols resembling Theta and phi have been used.
 
Physics news on Phys.org
I have been to that wiki article and could not find where it labeled itself symbolically.

Did find this: under this other wiki article: https://en.wikipedia.org/wiki/Absolute_Infinite
"The Absolute Infinite (symbol: Ω) is an extension of the idea of infinity proposed by mathematician Georg Cantor.

It can be thought as a number which is bigger than any conceivable or inconceivable quantity, either finite or transfinite.
"
However I don't think Cantor or infinite series mathematicians believe the omega from absolute infinite is the same as an uncountable/strong inaccessible cardinal.
Correct me if I am mistaken?
 
I have no expertise in this area. However, the concept of Absolute infinite sounds weird to me. What is Absolute infinity times 2? etc.
 
if it didn't sound weird, how could it possibly be inconceivable? There's a philosophy term for this stuff "Noumenal" stuff we aren't supposed to make sense of.