Alexander Pruss's Blog

I claim that there is no general, straightforward and satisfactory way to define a total comparative probability with the standard axioms us...

I claim that there is no general, straightforward and satisfactory way to define a total comparative probability with the standard axioms us...

Suppose we have a full conditional probability P ( A ∣ B ) defined for all pairs of events (stipulating that P ( A ∣⌀) = 1 if we wish). I...

I recently worked out the precise conditions under which one can have Popper functions, hyperreal probabilities or qualitative probabilitie...

Abstract: Classical countably additive real-valued probabilities come at a philosophical cost: in many infinite situations, they assign the...

Suppose that we wish to model an infinite fair lottery with tickets numbered by integers by means of qualitative probabilities, i.e., a refl...

Suppose I have infinitely many coins and I toss them. I then load each of them equally in favor of heads and toss them all again. All the to...

Let P be a Popper function on some algebra F of events on Ω . There is a natural way to define a probability comparison given P , namely A...

In “Underdetermination of infinitesimal probabilities” , following a referee’s suggestion, I allow that qualitative (i.e., comparative) prob...

Let ⪅ be a qualitative probability comparison for some collection F of subsets of a space Ω . Say that A  ≈  B iff A  ⪅  B and B  ⪅  A , ...

There are two approaches to generalizing probabilities beyond the classical real-valued numerical approach. Switch the values of the proba...

Let Ω be a non-empty set and F be a field of subsets (i.e., set of subsets closed under finite unions and complements). A Popper funct...