[FOM] Fwd: Did Goedel's result come as a surprise to Bertrand?

[joeshipman@aol.com]

There is a sense in which higher-order languages make Godel's 
Incompleteness Theorem less philosophically troubling -- since pretty 
much all mathematics  can be interpreted in higher-order logic, the 
import of the theorem becomes merely epistemological, that we can't 
know all true mathematical facts, rather than ontological, that there 
might exist sentences without a truth value.

-JS


-----Original Message-----
From: Irving <ianellis at iupui.edu>
The best that we can do in this case is suppose that Russell,
while composing My Philosophical Development thought that his
discussion  of higher-order languages in his introduction to the
Tractatus thought that introduction of higher-order languages
could have provided in advance a ready-made remedy to
incompleteness.