Nonsense. Tao is using perfectly idiomatic language here - "The sample space will be a probability space (once we have endowed it with some additional structure)".
That's not good: We don't
want to have to use words
such as endowed and structure
that are not precisely
defined in the context and, thus,
are conceptually fuzzy.
Some intuitive overviews, clearly
labeled as such, are fine and can
be helpful, but "idiomatic language"
just is not. Won't find such in
the writings of W. Rudin, P. Halmos,
J. Neveu, or any of a long list
of authors of some of the best
math books. In a good math or
computer science
journal, a reviewer or the editor
would likely reject "idiomatic
language".