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    Any well-ordering is dependent on arbitrary choices in it... — Carmelics
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    Challenges→Given a well-ordering of any set (provable from AC itself), a canonical choice function exists that is not symmetric yet satisfies all formal requirements of a choice function.

    Any well-ordering is dependent on arbitrary choices in its construction, making dependent choice functions equally non-canonical as the original problem.

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    Given a well-ordering of any set (provable from AC itself), a canonical choice f...

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    Given a well-ordering of any set (provable from AC itself), a canonical choice f...

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