We address the following issue: Suppose that we have taken a dataset consisting of a set of events. We do an analysis on this dataset, and obtain a result of interest. We then take the same dataset, and repeat the analysis, possibly with differences, to again obtain a result on the same matter of interest. How do we determine whether our two results are “consistent”? Let us first attempt to ens...

In this paper we study the notion of strong non-reflection, and its contrapositive weak reflection. We say θ strongly non-reflects at λ iff there is a function F : θ −→ λ such that for all α < θ with cf(α) = λ there is C club in α such that F 1 C is strictly increasing. We prove that it is consistent to have a cardinal θ such that strong non-reflection and weak reflection each hold on an unboun...

In this paper we study the notion of strong non-reeection, and its contrapositive weak reeection. We say strongly non-reeects at ii there is a function F : ! such that for all < with cf() = there is C club in such that F C is strictly increasing. We prove that it is consistent to have a cardinal such that strong non-reeection and weak reeection each hold on an unbounded set of cardinals less th...