Two Infinites - Deepstash

Two Infinites

Surprisingly George Cantor claims there is an infinite-2 which is greater than infinity-1.

Isn’t infinity enough innumerable? Then how can there be two kinds of infinite, where one "infinity" is greater than the second "infinity".

Yet intuitively, the infinite is pretty much weird. Then how many kinds of infinite are more than the previous infinity?

This is where the understanding of the continuum hypothesis begins
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Beware of Illusion in Math | Denial of CH Determines that We are not Living On Discrete World

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Discussion @StackExchange

What are the useful outcomes of denying the Continuum Hypothesis?

This opens new perspective of how we think on math.

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How do the integers and ...

Venn Diagram

Venn Diagram

Continuum hypothesis is failed, because of these reasons:

If we can do multiple calc on different areas of infinity and that looks like we are doing things differently, or we're dealing with different infinity, but actually we're doing at the same area, the same numbes were used interchange...

Slicing Apple Infinitely? Can We?

If an apple was divided continuously uncountably, divided continuously to infinity, then it’s infinite division of finite apple. Is it possible? No.

  • But the fact support it. Through observations, it onl...

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