SimSubc031103

SimSubc031103 - 1 SIMILAR SUBCLASSES by Harvey M. Friedman...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
1 SIMILAR SUBCLASSES by Harvey M. Friedman Ohio State University Princeton University friedman@math.ohio-state.edu http://www.math.ohio-state.edu/~friedman/ March 11, 2003 Abstract. Reflection, in the sense of [Fr03a] and [Fr03b], is based on the idea that a category of classes has a subclass that is “similar” to the category. Here we present axiomatizations based on the idea that a category of classes that does not form a class has extensionally different subclasses that are “similar”. We present two such similarity principles, which are shown to interpret and be interpretable in certain set theories with large cardinal axioms. 1. Introduction. As in [Fr03a], [Fr03b], we use “class” as a neutral term, without commitment to the developed notions of “set” and “class” that have become standard in set theory and mathematical logic. We use for membership. This framework supports interpretations of sentential reflection that may differ from conventional set theory or class theory. However, we do not pursue this direction
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 08/05/2011 for the course MATH 366 taught by Professor Joshua during the Fall '08 term at Ohio State.

Page1 / 3

SimSubc031103 - 1 SIMILAR SUBCLASSES by Harvey M. Friedman...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online