## PRINCIPIA MATHEMATICA VOLUME II |

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### Contents

Summary of Part III | 3 |

Section A Definition and Logical Properties of Cardinal Numbers | 4 |

100 Definition and elementary properties of cardinal numbers | 13 |

84 other sections not shown

### Common terms and phrases

a e Cls a e NC a e NC induct a n C'P actual type arithmetical formal number arithmetical set associative law axiom of infinity Bern cardinal arithmetic cardinal numbers Cl'a class of classes Cls induct Cls refl Cls3 arithm connex convention converse domain D K Prop defined double correlator equation exp Q exponentiation finite number following propositions Hence higher type homogeneous cardinal hypothesis Indiv inductive cardinal inductive class Infin ax lemmas logical mathematical induction maxP'a minP'a Mult ax multiplicative axiom mutually exclusive NC refl Nc'a xc Nc'p notation Nr'P Nr'Q p e Cls Pern present number Prod Prod'P Prog proof Prop The following properties prove Rel2 excl relation-numbers seqP'a sm a exp sm sm smor Q smor smor trans Transp typically definite v e NC