How is it possible that area under continuous curve consist of indivisibles?

Asked Nov 17 '23 at 13:53

Active Nov 17 '23 at 14:00

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I read in article (https://plato.stanford.edu/entries/continuity/) that continuity can't consist of indivisibles, only discrete entity can:

"In a word, continua are divisible without limit or infinitely divisible..."

"In something like the same sense as a discrete entity is made up of its individual units, its “indivisibles”.."

But in John Bell's book (A Primer of Infinitesimal Analysis) area under continuous curve consists of indivisibles:

How is it possible?

Thanks.

edited Nov 17 '23 at 14:00

asked Nov 17 '23 at 13:53

Mike_bb

A "continuum" and a "continuous function" are different concepts. Note also that the set of rationals is divisible, but not a continuum. – Hagen von Eitzen Nov 17 '23 at 14:10
@HagenvonEitzen What is difference between "continuum" and "continuous function"? – Mike_bb Nov 17 '23 at 14:21
The answer is really the same as to the question https://math.stackexchange.com/q/4808837/72694 – Mikhail Katz Nov 20 '23 at 12:21

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