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From Wikipedia: A horse has an infinite number of legs

    A horse has forelegs.
    And it has two back legs.
    Four plus two is six, thus it has six legs
    Six is an odd number of legs for a horse to have
    But six is also an even number of legs.
    The only number which is both even and odd is infinity
    Therefore, a horse has an infinite number of legs
Now we know that the infinite legs are infinitely long.

(Unrelated, but along the same line of silliness from there:

    No horse has five legs.
    Any horse has four legs more than no horse does.
    Therefore, a horse has nine legs.)

Is infinity really both odd and even in any mathematically useful sense? I mean, it's not a number.

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