$\mathbb{C}$ is isomorphic to $\bar{\mathbb{Q}}$?
I know this is false but I can not give a valid argument to justify this, why can not this be given? Thank you very much.
2026-04-26 02:24:23.1777170263
$\mathbb{C}$ is isomorphic to $\bar{\mathbb{Q}}$?
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The set of algebraic numbers is countable, the set of complex numbers is uncountable. Therefore, there cannot be a bijection between them.