Empirical proof is "dependent on evidence or consequences that are observable by the senses. Empirical data is data that is produced by experiment or observation."
( http://en.wikipedia.org/wiki/Empirical )
"In mathematics, a proof is a convincing demonstration that some mathematical statement is necessarily true, within the accepted standards of the field. A proof is a logically deduced argument, not an empirical one."
( http://en.wikipedia.org/wiki/Mathematical_proof )
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A proof uses postulates and theorems to prove some statement.
Rational proof is governed by the rules of logic, considered by many to be the basis of good thinking. Testing ideas through the use of continuous questioning and thoughtful examination. Empirical proof is proof arising from careful observation of events in nature; proof that forms the basis for scientific discovery. Form of proof in both natural and social science, including sociology. An attempt to support or refute an idea on the basis of independent observation by many individuals. Linda
Mathematical logic.
flow proof is just run of text 2 colmn has line/column breaks
A proof coin has a special shiny finish on it and it is made to be sold to collectors, and not used as money.