Uncountability of the Reals

The real numbers cannot be enumerated.

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Concept Content
Countable Sets A notion of cardinality that covers finite sets and those that can be enumerated via the natural numbers.
Monotonicity of Limits and Sandwich Theorem Taking limits respects weak inequalities and sandwiching a sequence by two converging sequences reveals its limit. The technique of sandwiching can be used to determine limits via nested intervals.
Completeness Completeness says that Cauchy sequences must converge.
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Fabian Gabel and Marcus Waurick. Well-defined & Wonderful podcast, marcus-waurick.de.

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The data for the interactive network on this webpage was generated with pntfx Copyright Fabian Gabel and Julian Großmann. pntfx is licensed under the MIT license. Visualization of the network uses the open-source graph theory library Cytoscape.js licensed under the MIT license.

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