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Mathematical interpretation of formal systems

Posted on 2010-03-16




Name:Mathematical interpretation of formal systems
ASIN/ISBN:0720422264
Language:English
File size:1.74 Mb
Publisher: North-Holland
ISBN: 0720422264
Publish Date: edition 1971
File Type: PDF
Pages: 113 pages
File Size: 1,74 mb
   Mathematical interpretation of formal systems

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More than 30 years ago I proved by use of a theorem of Lowenheim that a theory based on axioms formulated in the lower predicate calculus could always be satisfied in a denumerable infinite domain of objects. Later one has often expressed this by saying that a denumerable model exists for such a theory. Of particular interest was of course the application of this theorem to axiomatic set theory, showing that also for this an arithmetical model can be found. As I emphasized this leads to a relativisation of set theoretic notions.

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