Re: Godel did not destroy the Hilbert Frege Russell programme
- From: "elsiemelsi" <cyprinsam@xxxxxxxxxxxxxxx>
- Date: Wed, 12 Mar 2008 04:03:32 -0500
you say
Here is a quote from a previous post
i say
go tell it to the editors of
The Cambridge History of Philosophy, 1870-1945- page 154
who say
AR was abandoned rejected and PM with out AR
Quote
â??In the Introduction to the second edition of Principia, Russell
repudiated Reducibility as 'clearly not the sort of axiom with which we
can rest content'â?¦Russells own system with out reducibility was rendered
incapable of achieving its own purposeâ??
quote page 14
http://www.helsinki.fi/filosofia/gts/ramsay.pdf.
â??Russell gave up the Axiom of Reducibility in the second edition of
Principia (1925)â??
Phenomenology and Logic: The Boston College Lectures on Mathematical Logic
and Existentialism (Collected Works of Bernard Lonergan) page 43
http://books.google.com.au/books?id=Pd5YaLwZugUC&pg=PA43&lpg=PA43&dq=axiom+of+reducibility+second+dropping&source=web&ots=a27lIUxvQU&sig=auv4udKq0S-F6KQ_Xxsh0US6QrI&hl=en
â??In the second edition Whitehead and Russell took the step of using the
simplified theory of types dropping the axiom of reducibility and not
worrying to much about the semantical difficultiesâ??
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