demostración

Demostración is a Spanish noun with several related meanings tied to showing, proving, or displaying something. The core sense is the act of making something clear to others, either by argument or by demonstration. Etymologically, it comes from Latin demonstrare, meaning to point out or show.

In mathematics and logic, una demostración is a rigorous proof that a statement is true, based on accepted axioms, definitions, and previously proven results. A demostración proceeds through a sequence of logical steps that leave no room for doubt within the given framework. These proofs can be constructive or by deduction, and phrases such as demostración por inducción or por contradicción are commonly used to describe methods.

In education and everyday life, a demostración refers to an example or experiment that shows how something works, or to a public display designed to illustrate a feature of a product or technique.

In some Spanish-speaking regions, a demostración can refer to a public gathering to express a viewpoint, i.e., a protest; usage varies by country, and in many contexts 'manifestación' is the preferred term for a political protest, whereas 'demostración' may emphasize the act of showing support or describing events.