Duality terminology
I should have mentioned this before, but usually dual notions are marked by the prefix “co-“. As an example, we have “well-powered” and “co-well-powered” categories.
Another example: We know through Erdős that “a mathematician is a device for turning coffee into theorems”. It thus follows by duality that a comathematician is a device for turning cotheorems into ffee.
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The Unapologetic Mathematician 
And of course, we have commutative algebras and mmutative coalgebras.
[…] This of course was taken from elsewhere, namely The Unapologetic Mathematician. […]
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In aviation, shouldn’t then the copilot just make the trip back home?