
Publication details
Publisher: Palgrave Macmillan
Place: Basingstoke
Year: 2017
Pages: 105-126
Series: Palgrave Innovations in Philosophy
ISBN (Hardback): 9781137408075
Full citation:
, "Russell's method of analysis and the axioms of mathematics", in: Innovations in the history of analytical philosophy, Basingstoke, Palgrave Macmillan, 2017


Russell's method of analysis and the axioms of mathematics
pp. 105-126
in: Sandra Lapointe, Christopher Pincock (eds), Innovations in the history of analytical philosophy, Basingstoke, Palgrave Macmillan, 2017Abstract
Early in the 1900s, Russell recognizes that he and many others had been implicitly using claims like the Axiom of Choice. For such claims, Russell eventually took the position that some axioms are necessary to recovering certain results of mathematics, but may not be proven to be true absolutely. This essay traces historical roots of, and motivations for, Russell's method of analysis and his related views about the status of mathematical axioms. I describe the position that Russell develops as "immanent logicism," in contrast to what Irving has called "epistemic logicism." Immanent logicism allows Russell to avoid the logocentric predicament and to propose a method for discovering structural relationships of dependence within mathematical theories.
Cited authors
Publication details
Publisher: Palgrave Macmillan
Place: Basingstoke
Year: 2017
Pages: 105-126
Series: Palgrave Innovations in Philosophy
ISBN (Hardback): 9781137408075
Full citation:
, "Russell's method of analysis and the axioms of mathematics", in: Innovations in the history of analytical philosophy, Basingstoke, Palgrave Macmillan, 2017