Talk:List of continuity-related mathematical topics

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The Discreteness/continuity dichotomy is a very clear and fundamental mathematical concept to me, these concepts are orthogonal to integers and real numbers. I don't see any ambiguity here.

The page for Discreteness suffers from the same problem, but at the very least offers an independent definition that doesn't depend on its opposite concept. https://en.wikipedia.org/wiki/Discrete The articles looks really daunting.

I appreciate that mathematics is a deep field and there might be varying contradicting definitions of discreteness, but we, the laymen would like to listen to unifying takes on the concept of discreteness and continuousness so that in the future, we might avoid seeing something like this in a best selling book from a leading biologist :

"This is not a rigid all-or-nothing definition, but a kind of fading-out definition, like the definition of 'big' or 'old'."

Perhaps the articles for Real Numbers and Integer Numbers could have a doppelganger section defining continuous in relation to real numbers.

Or more simply and (perhaps too) boldly, redirect continuous to real number? I mean, the word continuous is used in the first sentence.

Thank you for reading my words. TZubiri (talk) 08:44, 11 October 2019 (UTC)[reply]