## Lectures in set theory: with particular emphasis on the method of forcing |

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### Contents

Formulas and classes | ix |

Axioms of ZermeloFraenkel | x |

Ordinal numbers | 6 |

Copyright | |

24 other sections not shown

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### Common terms and phrases

a e k absolute antichain assume automorphism axiom of choice axiom of regularity Borel sets cardinal numbers compatible complete Boolean algebra construct continuum hypothesis Corollary countably complete cp(x define Definition exists f e Q F-generic subset finite forcing conditions formula Godel operations hence In[G inaccessible cardinal induction Lebesgue measurable Lemma let F Let G Let Q limit ordinal maximal antichain model of ZF n e id n e u nonempty normal binary one-to-one function one-to-one mapping p.o. set partially ordered set proof of Theorem prove real numbers recursion regular cardinal RO(P Seiten sets of reals Solovay subalgebra Suslin tree Suslin's to-generic u.f. to[G transitive model ultrafilter uncountable x e y