Re: Mathematics is systems of epistemological holisim



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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