On Monk's questions

Monk asks (problems 13, 15 in his list; pi is the algebraic density):''For a Boolean algebra B, aleph_0 <= theta <= pi (B), does B have a subalgebra B' with pi (B')= theta ?'' If theta is regular the answer is easily positive, we show that in general it may be negative, but for quite many singular cardinals - it is positive; the theorems are quite complementary. Next we deal with pi-chi and we show that the pi-chi of an ultraproduct of Boolean algebras is not necessarily the ultraproduct of the pi-chi 's. We also prove that for infinite Boolean algebras A_i (i< kappa) and a non-principal ultrafilter D on kappa : if n_i< aleph_0 for i< kappa and mu = prod_{i< kappa} n_i/D is regular, then pi-chi(A) >= mu. Here A= prod_{i< kappa}A_i/D. By a theorem of Peterson the regularity of mu is needed

Questions for Factories

This document is part of a digital collection provided by the Martin P. Catherwood Library, ILR School, Cornell University, pertaining to the effects of globalization on the workplace worldwide. Special emphasis is placed on labor rights, working conditions, labor market changes, and union organizing.ILRF_QuestionsForFactories_2008.pdf: 617 downloads, before Oct. 1, 2020

Twenty Questions

In the first of this new series for the journal, Peter Singer responds to questions from the editors and Theron Pummer

Questions on transitivity

This handout (it isn’t a paper) presents phenomena and questions, rather than conclusions, related to the concept of transitivity. The idea is to return to these questions at the end of the Workshop to see if we can have a clearer consensus about the best general analysis of phenomena associated with transitivity. Section 2 presents alternative analyses of transitivity and questions about transitivity in three languages I have worked on. Section 3 discusses a few of the different conceptualisations of transitivity that might be relevant to our thinking about the questions related to these languages or that bring up further questions. Section 4 presents some general questions that might be asked of individual languages

Questions about Household Consumption in Surveys

Household total expenditure (consumption) is a very important phenomenon in many research areas. The problem is how to get precise information about the consumption from each household and at the same time not to make the questionnaire so long and involved that it becomes a burden to the respondent. In this paper is evidence from several sources on the usefulness of recall consumption questions. Valid information can be collected by adding specific recall questions to general purpose surveys. There are a few recommendations on how to do so.Households, Consumption, Surveys