TY - BOOK AU - Hirschfeld,Joram AU - Wheeler,William H. ED - SpringerLink (Online service) TI - Forcing, Arithmetic, Division Rings T2 - Lecture Notes in Mathematics, SN - 9783540374855 AV - QA1-939 U1 - 510 23 PY - 1975/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Mathematics, general N1 - Existentially complete structures and existentially universal structures -- Model-completions and model-companions -- Infinite forcing in model theory -- Approximating chains for -- Finite forcing in model theory -- Axiomatizations -- Forcing and recursion theory -- Existentially complete models -- Simple models and R.E. ultrapowers -- Regular models -- Regular models and second order models for arithmetic -- Generic models and the analytic hierarchy -- Applications to complete extensions of peano's arithmetic -- Existentially complete division rings -- Nullstellensatz -- Classes of existentially complete division algebras UR - http://dx.doi.org/10.1007/BFb0064082 ER -