# Cardinal numbers - help prove basic properties

• February 11th 2013, 09:16 AM
OriaG
Cardinal numbers - help prove basic properties
Hey all, I need help with the following questions:

1) prove that t+aleph0 = aleph0 for any t finite number.
2) t*aleph0 = aleph0 for any t finite number
3) t+aleph1 = aleph1 for any t finite number
• February 11th 2013, 09:52 AM
Plato
Re: Cardinal numbers - help prove basic properties
Quote:

Originally Posted by OriaG
Hey all, I need help with the following questions:
1) prove that t+aleph0 = aleph0 for any t finite number.
2) t*aleph0 = aleph0 for any t finite number
3) t+aleph1 = aleph1 for any t finite number

Oh, come on!
What is the definition of $t+\aleph_0~?$

How do you define equality for $t+\aleph_0=\aleph_0~?$.

Answer those questions and show some work.