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- W1986260064 abstract "The mathematical physicist Hermann Weyl (2) has claimed that, unless machines can accomplish an infinite sequence of distinct operations in a finite time, the standard mathematical theory of motion is beset by one of Zeno's kinematical paradoxes. Hence I have compared the kinematics of several such infinity machines to the kinematics of the continuous motion of Achilles. And I have argued that, while some designs for infinity machines are indeed inconsistent, others are not impossible on purely kinematical grounds. This argument was coupled with several reasons for denying Zeno's and A. N. Whitehead's allegation of paradox against the mathematical, description of the motion of Achilles." @default.
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- W1986260064 date "1968-01-26" @default.
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- W1986260064 title "Are Infinity Machines Paradoxical?" @default.
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- W1986260064 doi "https://doi.org/10.1126/science.159.3813.396" @default.
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