Methods in Mathematical Logic

Inhalt

Failure of interpolation for quantifiers of monadic type.- Approximation to truth and theory of errors.- Partition relations in arithmetic.- On the axiomatizability of sets in a class theory.- Applications of model theory to real algebraic geometry.- On the space (?)?.- The model extension theorems for ?3-theories.- Completeness theorems for the general theory of stochastic processes.- A barren extension.- Proof functional connectives.- Ultraproducts and categorical logic.- Problems in taxonomy, a floating log.- Counting problems in bounded arithmetic.- Definable ultrafilters and elementary end extensions.- On the axiomatization of PRC-fields.- Formalizations of certain intermediate logics Part I.- Types in class set theories.- Generic extensions which do not ADD random reals.