On Wed, Mar 4, 2020 at 8:24 AM Steve Jorgensen <ste...@stevej.name> wrote:
> Chris Angelico wrote: > > On Wed, Mar 4, 2020 at 6:04 PM Steve Jorgensen ste...@stevej.name wrote: > <snip> > > https://en.wikipedia.org/wiki/Partially_ordered_set > > "Partially ordered" means you can compare pairs of elements and find > > which one comes first. "Totally ordered" means you can compare ANY > > pair of elements, and you'll always know which comes first. > > ChrisA > > Ah. Good to know. I don't think "Partially ordered" actually applies, > then, because that still seems to imply that transitivity would apply to > comparisons between any given pair of objects. Simply having > implementations of all the rich comparison operators does not make that > true, however, and in particular, that's not true for sets. > Not quite: https://en.wikipedia.org/wiki/Partially_ordered_set#Examples (see example 2). Or: https://math.stackexchange.com/questions/1305004/what-is-meant-by-ordering-of-set-by-inclusion S. -- Stefane Fermigier - http://fermigier.com/ - http://twitter.com/sfermigier - http://linkedin.com/in/sfermigier Founder & CEO, Abilian - Enterprise Social Software - http://www.abilian.com/ Chairman, National Council for Free & Open Source Software (CNLL) - http://cnll.fr/ Founder & Organiser, PyParis & PyData Paris - http://pyparis.org/ & http://pydata.fr/
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