During this small textual content the fundamental thought of the continuum, together with the weather of metric house thought and continuity is built in the method of intuitionistic arithmetic within the feel of L.E.J. Brouwer and H. Weyl. the most beneficial properties are proofs of the well-known theorems of Brouwer about the continuity of all capabilities which are outlined on "whole" durations, the uniform continuity of all capabilities which are outlined on compact durations, and the uniform convergence of all pointwise converging sequences of services outlined on compact periods. The confident strategy is attention-grabbing either in itself and as a distinction to, for instance, the formal axiomatic one.
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