Re: Epistemology 201: The Science of Science

From: robert j. kolker (nowhere_at_nowhere.net)
Date: 02/24/05


Date: Thu, 24 Feb 2005 12:26:08 -0500


Albert wrote:
>
> I fail to see the difference.

Aproximation is convergence to a definite value by means of a repetative
algorithm. Averaging over a set of numbers consists of adding them up
and diving by the number of addends. Contrast finding the square root of
two by the Newton-Rapheson approximation to finding the average age of
persons living in Philadelphia on a given day. Different processes
entirely. One knows ab initio that the averge of a set of numbers is not
likely to be a number in that set.

Bob Kolker



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