the.com/demonstration

Proof you can perform, whether in a lab, a courtroom, or the streets.

means An act of showing something clearlya fact, a method, or a collective opinionthrough visible action.

from From Latin demonstrare, to point out fully, fusing de- (completely) with monstrare, to showsibling of monster, the thing originally shown as a warning.

Math meaningIn proofs, it means rigorous logical demonstration.
Protest sensePublic marches became demonstrations only in the 1800s.
Monster cousinBoth descend from showing — one warned, one explains.
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