On Some Paradoxes of the Infinite

Victor Allis, Teunis Koetsier · The British Journal for the Philosophy of Science · 1991

In the paper below the authors describe three super-tasks. They show that although the abstract notion of a super-task may be, as Benacerraf suggested, a conceptual mismatch, the completion of the three super-tasks involved can be defined rather naturally, without leading to inconsistency, by means of a particular kinematical interpretation combined with a principle of continuity.

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