Re: Mathematics is systems of epistemological holisim
- From: "elsiemelsi" <cyprinsam@xxxxxxxxxxxxxxx>
- Date: Mon, 28 Apr 2008 07:31:57 -0500
j jones says
By the way, there can be no proof of a closed holistic system.
i say
dean did not say closed he only said holistic
by which he means
For holism is where there is a proper fit of statements within a system.
This involves 1) the statements coher with each other ie there is logical
consistency This condition is met by mathematical systems thus they are
holistic
2)statements give mutual inferential support to each other. This
condition is met by mathematical systems thus they are holistic
as a corollary
Thus a systems statements face the tribunal of proof as a corporate
body of statements. A systems statements about mathematics face the
tribunal of proof not individually but only as a corporate body
mathematics fit an holistic system quite well
thus systems which are incomplete ie ZFC Q PA etc
cannot prove anything
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