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    The theorem thus characterizes a structural feature of a ... — Carmelics
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    Challenges→The only four division algebras built on the real numbers are the reals (ℝ), complex numbers (ℂ), quaternions (ℍ), and octonions (𝕆).

    The theorem thus characterizes a structural feature of a human-constructed formal system, making 'only four exist' a category error if read realistically.

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    The only four division algebras built on the real numbers are the reals (ℝ), com...

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