Chris, (01)
Although I agree with you on most of the technical details of
modern logic, I believe that mathematical logic in the 20th
century would have developed quite well if Frege and Russell
had not existed. See, for example, the brief history by
Hilary Putnam: (02)
http://www.jfsowa.com/peirce/putnam.htm
Peirce the Logician (03)
CM> Hard to imagine how anyone working in formal and applied
> ontology, which owes so much to the influence of Frege and
> Russell -- esp the use of logic in the analysis of philosophical
> problems -- can think of W's work after the Tractatus as
> anything other than a big step backwards. (04)
The Tractatus was a brilliant toy. If that had been a correct
theory about the nature of language and thought, the HAL 9000
would be ruling the world today. (05)
Wittgenstein's later work was strongly influenced by Frank Ramsey,
who was a brilliant logician who saw through the flaws in the
Tractatus and recommended that W. read Peirce's writings. (06)
Rush Rhees noted that W. had later written a letter to his sister,
in which he recommended the following early, but brief compilation
of a few of CSP's writings: (07)
C. S. Peirce, _Chance, Love, and Logic_, edited by Morris Cohen. (08)
It was a great tragedy for 20th century logic and philosophy that
Ramsey had died so young. If Ramsey had survived, I'm sure that
he would have rescued 20th-century philosophy from the clutches
of Frege-Russellism. (09)
John (010)
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