Infinite cardinalities from the
definition of a bijection:
countability, the diagonal argument,
power sets, and where the continuum
hypothesis sits — and why its
independence isn't a loophole.
PromptAdvanced · Mathematics & Logic

Different Sizes of Infinity

Jun 10, 2026

Built from bijections up to independence.

Prompt

Build up the theory of infinite cardinalities from the definition of a bijection: countability, the diagonal argument, the power set theorem, and where the continuum hypothesis sits — and why its independence isn't a loophole.

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