Concept

Continuum (measurement)

Overview

gradual quantitative transition without abrupt change

Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).

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Of the celebrated formula, 'the continuum is unity in multiplicity,' only the multiplicity remains, the unity has disappeared. The analysts are none the less right in defining their continuum as they do, for they always reason on just this as soon as they pique themselves on their rigor.
Henri Poincaré, The Foundations of Science
Names Continuum several times; states what Continuum is.
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Similarly the mathematical conception of the continuum is nothing but a formulation of the manner in which the cuts of a line or the numbers of a continuous series must be chosen so that there shall remain no possible cut or number of which the choice is not indicated. Correspondence is reached between elements of such series when the corresponding elements can be reached by an identical process.
John Dewey, Creative Intelligence
States what Continuum is; names Continuum several times.
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Another example of an infinite continuum is the plane. On a plane surface we may lay squares of cardboard so that each side of any square has the side of another square adjacent to it.
Albert Einstein, Sidelights on Relativity
Names Continuum several times; states what Continuum is.
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