Ebook: Forcing, Arithmetic, Division Rings

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Content:
Front Matter....Pages -
Introduction....Pages 1-10
Existentially complete structures and existentially universal structures....Pages 15-43
Model-completions and model-companions....Pages 44-54
Infinite forcing in model theory....Pages 55-75
Approximating chains for ....Pages 76-85
Finite forcing in model theory....Pages 86-110
Axiomatizations....Pages 111-116
Forcing and recursion theory....Pages 117-136
Existentially complete models....Pages 141-154
Simple models and R.E. ultrapowers....Pages 155-159
Regular models....Pages 160-167
Regular models and second order models for arithmetic....Pages 168-178
Generic models and the analytic hierarchy....Pages 179-186
Applications to complete extensions of peano's arithmetic....Pages 187-189
Existentially complete division rings....Pages 198-222
Nullstellensatz....Pages 223-231
Classes of existentially complete division algebras....Pages 232-252
Back Matter....Pages -

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Content:
Front Matter....Pages -
Introduction....Pages 1-10
Existentially complete structures and existentially universal structures....Pages 15-43
Model-completions and model-companions....Pages 44-54
Infinite forcing in model theory....Pages 55-75
Approximating chains for ....Pages 76-85
Finite forcing in model theory....Pages 86-110
Axiomatizations....Pages 111-116
Forcing and recursion theory....Pages 117-136
Existentially complete models....Pages 141-154
Simple models and R.E. ultrapowers....Pages 155-159
Regular models....Pages 160-167
Regular models and second order models for arithmetic....Pages 168-178
Generic models and the analytic hierarchy....Pages 179-186
Applications to complete extensions of peano's arithmetic....Pages 187-189
Existentially complete division rings....Pages 198-222
Nullstellensatz....Pages 223-231
Classes of existentially complete division algebras....Pages 232-252
Back Matter....Pages -
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