This is not a good description ... less concrete, tangible etc or more envisioned, imagined etc is much better. (btw, this is not about abstraction)I think this is incorrect ... "the mechanical engineer" and "the industrialist" are probably right hemisphere types.
"the mathematician" does not exist. Instead, (most) mathematicians have superior PFA/PFS and working memory since their objects/geometric shapes are more complicated.
... and "the mathematician" refers to a type here, not a subtype.