Reply to Ben Eggleston

Reply to Ben Eggleston

Ben Eggleston’s comment nicely weaves together several strands of the approach to normative ethics that informs the essays in Part II of Facts, Values, and Norms. I quite agree with what he says concerning how and where the strands might reinforce one another, so I will concentrate in my reply on the places he finds strains and gaps especially his questions concerning the nature of valoric cons...

Nonstandard Proofs of Eggleston like Theorems

We prove theorems of the following form: if A ⊆ R is a “big set”, then there exists a “big set” P ⊆ R and a perfect set Q ⊆ R such that P × Q ⊆ A. We discuss cases where “big set” means: set of positive Lebesgue measure, set of full Lebesgue measure, Baire measurable set of second Baire category and comeagre set. In the first case (set of positive measure) we obtain the theorem due to Eggleston...

Ben Scheres

that are in danger of becoming extinct or have already done so. It’s remarkable as the combined effort of hundreds of thousands of people, many of them amateurs, to compile data on the status of their favorite taxa. For amphibians, we know that there were 1437 species described by taxonomists before 1900. Of these, 18 are either extinct or presumed extinct. After 1900, taxonomists described 496...

The Authors’ Reply

and Ben Polak Introduction to judgment aggregation

This introduces the symposium on judgment aggregation. The theory of judgment aggregation asks how several individuals’judgments on some logically connected propositions can be aggregated into consistent collective judgments. The aim of this introduction is to show how ideas from the familiar theory of preference aggregation can be extended to this more general case. We …rst translate a proof o...