Few days back I was reading about cardinal numbers and while I was reading about cardinal number, I recall I had a discussion about infinities with a friend last year. The point was some infinities are bigger than other infinities. And how come?
If viewed from mathematical perspective we have a logical explanation . But before I go talking about which infinity is greater lets find out what is cardinality. The term cardinality refers to numbers in a set. Cardinality can be finite or infinite. However the cardinality of the set of real numbers is greater than the cardinality of the set of integers, even though both the sets are infinite.
And based on the Cantor Triangle, which demonstrates that the cardinality of the rational numbers was the same as that of the integers. Both have a cardinality of the aleph-null, the smallest infinity. Real numbers have cardinality of aleph-one.
I hope I make sense and do not hurt your heads.
Other Blogs & Pages
Animation & VFX SitesA MUST READ for Ani/VFX Artists
awakened by thoughts,