Choice and Regularity: Common Consequences in Logic

Details Choice and Regularity: Common Consequences in Logic Choice and Regularity: Common Consequences in Logic

2007-09-19

arxiv.org/abs/0709.2979v2

Mathematics

Logic

37 pages, slides of a talk at the 2nd World Congress on Universal Logic (20-22 August 2007, Xi'an). All these results were obt

Scientific paper

It is well-known that Choice and Regularity are independent of each other but have important common consequences of logical character (reflection principles, representations of classes by sets, etc.). We explain this phenomenon by isolating their "intersection", a principle (called here Best-Foundedness) which is consistent with the negations of both axioms but implies all these consequences. Then we study relationships between these consequences (and near principles) in detail. Finally, we consider some arguments related to truth of various principles in set theory, especially arguments concerning the interpretability strength.

Affiliated with

Also associated with

No associations

Rating

Choice and Regularity: Common Consequences in Logic does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Choice and Regularity: Common Consequences in Logic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Choice and Regularity: Common Consequences in Logic will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-336496