Dear Victor,
I myself devoted almost a whole book to the subject, which was
especially concerned with Peano and Russell:
Francisco Rodriguez-Consuegra, THE MATHEMATICAL PHILOSOPHY OF
BERTRAND RUSSELL: ORIGINS AND DEVELOPMENT, Basel: Birkhauser,
1991 (rep. 1993).
In addition, many references to the subject can be found in the
bibliography of this book.
Best,
Francisco Rodriguez-Consuegra
Universidad de Valencia
http://www.uv.es/~rodriguf