Philosophy Research Archives

Volume 11, 1985

Stephen Pollard
Pages 579-587

Plural Quantification and the Iterative Concept of Set

Arecent paper by George Boolos suggests that it is philosophically respectable to use monadic second order logic in one’s explication of the iterative concept of set. I shall here give a partial indication of the new range of theories of the iterative hierarchy which are thus made available to philosophers of set theory.