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Monolingual examples (not verified by PONS Editors)
A simple example of a space which is not separable is a discrete space of uncountable cardinality.
en.wikipedia.org Since the full set of reals is uncountable, there must exist numbers that are not algebraic.
en.wikipedia.org This is because the real numbers can not all be written in a sequence, as they are uncountable.
en.wikipedia.org Uncountable plant and animal species have gone extinct, and humanity has just begun rebuilding in the wake of a seventy-five-year-long worldwide famine.
en.wikipedia.org Up to now, uncountable numbers of various types of electron beam equipment have been designed and realized.
en.wikipedia.org