Table of Contents

On recursively saturated models of arithmetic.- A note on existentially complete division rings.- Ideals of integers in nonstandard number fields.- Categories of local functors.- Impredicativity of the existence of the largest divisible subgroup of an Abelian p-group.- Elementary equivalence classes of generic structures and existentially complete structures.- The number of equivalence classes of existentially complete structures.- Finite forcing and generic filters in arithmetic.- Dense embeddings I: A theorem of Robinson in a general setting.- New facts about Hilbert's seventeenth problem.- Nonstandard aspects of Hilbert's irreducibility theorem.- Projective model theory and coforcing.- On algebraic curves over commutative regular rings.- Existence of rigid-like families of Abelian p-groups.- The complexity of Tf and omitting types in FT.- Model-completeness and skolem expansions.