[gliboc]

I disagree with the thought that the Vienna circle had anything to do with the course of math and science. They were mostly philosophers, with fewer scientists if you look closely, and their contribution was to philosophy, not science.

Also: they had no direct link with Einstein's work (he conducted his research decades before they even existed), he only attended some of their meetings. I'm also pretty sure Von Neumann had nothing to do with them, same for Boltzmann (who was dead).

[kieckerjan]

I agree that the impact on philosophy was probably far greater than on science and math, but the fact is that several prominent mathematicians (most notably Gödel) were part of the group. One can of course argue whether e.g. Gödels achievements had anything to do with his being a member.

As to your second remark, I did not mean to imply that the people listed were all members. They were not. But they did have affiliations with members of the group (personal and professional) and they are all discussed in the book.