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By J. N. Crossley (editor)

ISBN-10: 0387071520

ISBN-13: 9780387071527

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Extra resources for Algebra and Logic: Proceedings of the Australian Mathematical Society, 14th, Australia, Jan. 6, 1974

Example text

Mostowski What I remember lecture I was t e l l i n g of G6del publication, and you was if one can call a lecture So he had a o n e - s e m e s t e r on a x i o m a t i c set theory He c o n s t r u c t e d A x i o m of Choice was he did not have hypothesis, valid. less like this: ive h i e r a r c h y , later in his hypothesis, defined, more levels or less, on c o n s i s t e n c y 0nly he proved have w e l l - o r d e r i n g s , so that level can be lifted level and also on limit And time, I am sure that for the continuum lecture exclusively went more or of the c o n s t r u c t as he d e f i n e d them the a x i o m of that all these a well-ordering to the w e l l - o r d e r i n g o r di n a l s the of the c o n t i n u u m but he did not f o r m u l a t e constructibility.

Cross l e y (to Mostowski) You were saying Mostowski I was saying facts about earlier that you were aware of this connection. I considered happened I was aware of some c o n n e c t i o n functions certain there. things A more dissertation (Addison Addison Mostowski Yes. was integers perfect in Poland [54])~ and here the a n a l o g y a n a l o g y was which for a year, some set theory. which happened But of course imperfect. Kleene on the between and was very in A d d i s o n ' s ... wasn't he?

I do that? some years ago. you used to kid around w h e n did you first connection descriptive evidence between that find out that there was a real your work set theory? a lot. on f u n c t i o n In other words, you had looked quantifiers there at d e s c r i p t i v e and is no set theory in 30 your 1955 paper connection. Kieene (Kleene [55]) at all or that you saw any Was that John Addison? John A d d i s o n was doing it already with number quantifiers, wasn't he? Nerode Yes. Kleene I think there Predicates and Quantifiers" is o b v i o u s l y John who is a footnote some kind looked, into in my 1943 (Kleene that time had never read the Polish theorists.

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