The Theory Of Continuityby@bertrandrussell

The Theory Of Continuity

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Our Knowledge of the External World as a Field for Scientific Method in Philosophy, by Bertrand Russells, is part of the HackerNoon Books Series. The theory of mathematical continuity is an abstract logical theory, not dependent for its validity upon properties of actual space and time. The logical basis of the theory alone belongs to philosophy, and alone will occupy us to-night. What is claimed for certain characteristics of space is understood, previously very hard to analyse. What we know and find is that, when it is well understood, it is not easy to decide between various alternatives, but these alternatives are possible.
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