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Re: logic can be irrational

Posted by Owen Densmore on Jan 08, 2014; 2:27am
URL: http://friam.383.s1.nabble.com/11-American-Nations-tp7584250p7584671.html

Logic has difficulties.  But interestingly enough, this logic was proven valid recently by two computer scientists/mathematicians.

Basically:
Gödel's ontological proof is a formal argument for God's existence by the mathematician Kurt Gödel (1906–1978).


On Tue, Jan 7, 2014 at 5:25 PM, glen <[hidden email]> wrote:
On 01/07/2014 02:04 PM, Nick Thompson wrote:
> (3) Reasoning illogically -- Clearly violating fundamental rules of logic.  All swans are white; this bird is a crow; this bird is white.

I think this is the most difficult problem to identify.  However, back
when we were discussing tautologies, this thought nagged at me.  The
validity of conjunction elimination (P,Q => P) relies fundamentally on a
kind of static, small universe.  If the universe is dynamic and/or too
large, then the use of conjunctive elimination (normally considered a
truth preserving rule) puts our argument at risk of false conclusions.  E.g.

Let's assert:

  A
  C
  B is, as yet, indeterminate.

A,C => A is a valid rule.  But if we later discover B, ~(B^A), then that
entire link in the _chain_ of reasoning becomes a rat hole... a waste of
time, perhaps so cognitively jarring as to prevent people from accepting
B and - from now on - rejecting A.  The people wallowing in that
reasoning link will have forgotten that we had a _choice_ in our
conjunctive elimination.  We could have eliminated A rather than C.

I speculate that utopians like the libertarians do this a lot: i.e. use
locally valid rules that turn out to be distally invalid.  But they
don't do it because they're stupid, only because they accept
simplification as a globally valid rule.

--
⇒⇐ glen

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Meets Fridays 9a-11:30 at cafe at St. John's College
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