Set Theory and Hierarchy Theory V [1 ed.] 9780387085210, 0-387-08521-1 [DJVU]

Table of contents :
Constructible semi-lattices of degrees of constructibility....Pages 1-43
Refining systems on Boolean algebras....Pages 45-58
The Lindenbaum-algebra of the theory of well-orders and Abelian groups with the quantifier Q α ....Pages 59-73
Extendability of structures as infinitary property....Pages 75-93
A reduction of the theory of types....Pages 95-100
Random forcing....Pages 101-117
Topological problems in alternative set theory....Pages 119-133
On the Baire property of Boolean algebras....Pages 135-141
The relation between ε — δ procedures and the infinitely small in nonstandard methods....Pages 143-152
Structures Σ — saturee....Pages 153-168
On the inhomogenity of the set of P(m)-points of ω*....Pages 169-179
On the projective class of the continuum hypothesis....Pages 181-185
A survey of finite-type Recursion....Pages 187-209
Initial segments of models of Peano's axioms....Pages 211-226
On the rules of proof generated by hierarchies....Pages 227-239
On cardinal numbers in Quine's New Foundations....Pages 241-250
The theory of the class HOD....Pages 251-255
Construction of nice trees....Pages 257-271
Differential calculus in the alternative set theory....Pages 273-284
The consistency of the theory ZF+L 1 ≠HOD....Pages 285-290
On the decidability of the theory of linear orderings in the language L(Q 1 )....Pages 291-304
On the theories of end-extensions of models of arithmetic....Pages 305-310
Some properties of filters....Pages 311-328
More constructively about the constructibility....Pages 329-358