## The continuum: a critical examination of the foundation of analysis |

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### Contents

Preface | 1 |

Mathematical Section | 20 |

The Concept of Number The Continuum | 51 |

Copyright | |

3 other sections not shown

### Common terms and phrases

1st level 2nd level apply arguments arises arithmetic axioms basic categories binary domain binary relation cardinal number category natural number category of object Chapter coincide complete induction concept of set construction continuous functions continuum Dedekind's defined delimited domain of rational example existence express extensionally determinate extensionally equivalent finite follows formulation fractions function F functors geometry given Hermann Weyl holds hyperanalysis individual constant infinite intuition judgment scheme k-property least n elements least upper bound logical mathematical process means number belonging number n one-dimensional sets pair precisely principle of substitution principles of definition properties and relations proposition pure number theory rational numbers real number rela relation symbol relations-in-extension restriction sense sentence matrix sequence set and function set of natural set of real set theory spans sphere of operation subject-ordered surface-points system of elements time-points tion transfer principle true U(xy unit interval variables vector version of analysis Weyl's