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    The construction is circular: we justify reals by appeal ... — Carmelics
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    Challenges→Real numbers like √2 are defined by Dedekind cuts, which partition the rationals without requiring any independent measuring capacity.

    The construction is circular: we justify reals by appeal to rational structure, yet the entire framework presupposes intuitions about infinite ordered sets.

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    Real numbers like √2 are defined by Dedekind cuts, which partition the rationals...

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    Real numbers like √2 are defined by Dedekind cuts, which partition the rationals...

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