----- Original Message -----
From: "Ralph Dumain" <[EMAIL PROTECTED]>
To: <marxism-thaxis@lists.econ.utah.edu>
Sent: Thursday, March 17, 2005 6:47 PM
Subject: Re: [Marxism-Thaxis] More Godel


> First of all, the theories of knowledge of Engels and Lenin lack the
specificity to grapple with axiomatic systems as we've come to understand
them.  Secondly, the philosophical extrapolations and analogies presented
here are not very good interpretations of Godel.  Putting these two
components together, much of the reasoning we see here is nebulous and vague
verbiage about "dialectics", communicating very little.

[vfr] Nor should they.  Engels and Lenin follow Marx who in turn follows
Hegel in discarding formal logic as useless for the development of empirical
theories for designing social practice.

> I can't claim to be an expert in Popper, but I had a specific argument as
to why philosophical reasoning is inadequate as a model for the gaining of
knowledge through practical engagement with the world.  This is becasue
reasoning about empirical matters is inherntly fallible, hence no definitive
proof is possible.  This led Hume to skepticism, Kant to his Cpernican
revolution, and Popper to deducing certain consequences from the problem of
induction.  However, this is a very different problem from formal
mathematical deductive inference.

[vfr] FORMAL reasoning about empirical matters is inherently fallible
regarding empirical matters. Kant makes this a central feature of his
science of knowledge. It is also the main reason why Hegel discarded the Law
of the Excluded Middle (among other things) to produce a theory on reasoning
that could successfully deal with empirical matters.

> For a whole different approach to these issues, see:
>
> "On the Dialectics of Metamathematics" (Excerpts) by Peter Vardy
> http://www.autodidactproject.org/other/vardy2.html
>
> Some Italian mathematicians also have something interesting to say on the
subject.
>
> -----Original Message-----
> From: Charles Brown <[EMAIL PROTECTED]>
> Sent: Mar 17, 2005 11:33 AM
> To: 'Forum for the discussion of theoretical issues raised by Karl Marx
and
> the thinkers he inspired' <marxism-thaxis@lists.econ.utah.edu>
> Subject: [Marxism-Thaxis] More Godel
>
> My opinion is that this sort of analogical reasoning doesn't work well
here,
> i.e. when we are talking about formal mathematical systems.
>
> ^^^^
> CB: Why , would you say, formal mathematical systems don't "fit" this ?
>
> What's "special" about mathematical systems that makes them an exception
to
> the Marx-Engels-Lenin theory of knowledge, from your analysis and
experience
> with these ?
>
> ^^^^
>
>
>
>  Now, if the topic were a priori philosophical reasoning in general, I
might
> be inclined to agree.  In fact, I used a similar argument last year when
> arguing with critical rationalists (Popperians) about falsifiability and
> objective knowledge, or the notion that objective knowledge is what
survives
> tests (negative criteria).  I don't recall the details, but my argument
had
> something to do with the limitations of the aprioristic mode of reasoning
of
> philosophy.
>
>
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