## On the possibility of infinity machines |

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### Contents

PROBLEMS IN DEFINING THE CLASS OF SUPERTASKS | 9 |

TWO ARGUMENTS AGAINST THE POSSIBILITY | 27 |

KINEMATICS AND THE LOGICAL POSSIBILITY | 70 |

1 other sections not shown

### Common terms and phrases

acceleration function aleph null Benacerraf Black and Thomson body ceases to appear class of infinity class of super-tasks complete an infinite continuous function Dichotomy paradox direction function discontinuity earlier erasing machine finite Friedberg Grunbaum infinite number infinite sequence infinity machines integer ceases integers will appear involves an infinite James Thomson kinematic possibility kinematic requirements lamp argument lamp goes later left-hand limit legato runner midpoint nth Z-moment object occupies ordinary motion Paul Benacerraf position function positive integer principle printed or erased printing and erasing printing machine sequence of acts sequence of traversals sequences of type Ship of Theseus spatio-temporal continuity speed function staccato run staccato runner supposition tandem argument temporal interval thesis thing ceases things have property Thomson's axiom Thomson's lamp throughout t'T tion turned type w+l uniformly continuous vector velocity and acceleration velocity function vertical motion w-sequence Z-interval of ToT Z-period Z-point ceases Zeno's Paradoxes