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Old 2021-04-27, 08:39   #14
Nick's Avatar
Dec 2012
The Netherlands

33418 Posts

Originally Posted by Happy5214 View Post
I couldn't tell you how that implies the Archimedean property
In that case, it's time for our 2nd important general principle of the thread:
given any property, always consider whether the set of all elements with that property
is just a subset or a substructure (subgroup, subring, subfield or whatever).
Here: all you have to do is show that the set of rational numbers that have the Archimedean property form a subfield.
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