DEMONSTRATION n.
sult is a necessary consequence of assumed premises; -- these premises being definitions, axioms, and previously established propositions. Direct, or Positive, demonstration (Logic & Math.), one in which the correct conclusion is the immediate sequence of reasoning from axiomatic or established premises; -- opposed to…
POSTULATE n.
The enunciation of a self-evident problem, in distinction from an axiom, which is the enunciation of a self-evident theorem. The distinction between a postulate and an axiom lies in this, -- that the latter is admitted to be self-evident, while the former may be agreed upon between two reasoners, and admitted by both,…