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I have been taught in some computer science theoretic courses that two types of infinities exist: dense and countable, e.g. dense (uncountable) : real numbers, countable: integers.
And that therefore dense "sort of" > countable...
I would be interested if someone develops these concepts..
Moreover, could an ''intuitive'' definition be given for ''dense'' with regards to infinities ? Also, can you disscuss if it makes sense to say thant the reals are larger than the integers ? (as it is sometimes said informally)