Alexander Pruss's Blog

As usual, write [ a , b ] for the interval of the real line from a to b including both a and b , ( a , b ) for the interval of the real...

If S is a set of real numbers and a is a real number, let a S ={ a x : x ∈ S } be the set you get by magnifying S by a factor a...

In my last post , I was thinking about arguments for why sets of cardinality less than that of the continuum should be taken to have mea...

The Lebesgue measure on the reals has the following property: it assigns zero probability to every singleton. This is intuitively what ...

The ideal of a non-zero (point) probability assignment to all possibilities is incoherent for cardinality reasons . Moreover, as Alan Hajek...

I think there is nothing new here, but I want to collect together some facts that are interesting to me. Suppose m is a countably additive ...