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Such a cut, which corresponds to a given value, defines an irrational number if no largest or no smallest is present in either part; whereas a rational is defined as a cut in which one part contains a smallest or a largest.
Reductio ad absurdum proves the universal negative 'There is no largest prime number'.
However, conceptions ordinary beliefs, metaphors, associations are one thing; people's concepts quite another: two mathematicians, after all, can have the thought that there is no largest prime, even if one of them thinks of numbers spatially and the other purely algebraically.
Similar(57)
It has no large military base.
There are no large apartment buildings.
It has no larger agenda.
There were no large demonstrations.
No large bureaucracy is needed.
I had no larger picture.
Mince centers no larger than peppercorns.
"But there was no large-scale organization".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com