th
caring about, called &quot;objects&quot; or &quot;spaces&quot;, along with the corresponding
metamorphoses among them, called &quot;arrows&quot; or &quot;morphisms&quot;, can be treated
as having an objective status to the extent that there are many distinct
&quot;views&quot; of them, called &quot;functors&quot;, that relate to each other in natural
and especially nice ways called &quot;natural transformations&quot;.  That's it in
a nutshell, very roughly, and I have forced a few details in prospect of
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