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(1973) Philosophical problems of space and time, Dordrecht, Springer.
In his book Philosophy of Mathematics and Natural Science, the renowned mathematical physicist Hermann Weyl raised the following question: Is it kinematically feasible that a machine carry out an infinite sequence of distinct operations in a finite time? And he gave a conditional answer to it as follows: If a machine obeying the principles of classical kinematics cannot carry out a denumerable infinity of operations in a finite time, then the received interpretation of the classical mathematical theory of motion is beset by one of Zeno's kinematical paradoxes.
Publication details
DOI: 10.1007/978-94-010-2622-2_18
Full citation:
Grünbaum, A. (1973). Can an infinitude of operations be performed in a finite time?, in Philosophical problems of space and time, Dordrecht, Springer, pp. 630-645.
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