Limits as a Fuzzy Yoneda Theory

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[TODO]

How do we know when a duck is a duck?

Looks Like a Duck

(if we know how something interacts with the universe then we know what it is)

The Yoneda Lemma

(describe Yoneda)

Quacks like a Duck

(what if we only know about some interactions?)

Diagrams and Limits

(intro limits with the required machinery, explain how they are the best approximations for a diagram)

Fuzzy Yoneda

(state UP of limits as an extension of Yoneda)