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Everything can be a function if you look at it the right way; we can characterise familiar concepts like sets, lists and even plain values as functions.
Thinking about such basic objects as functions can seem unnecessarily abstract, but it isn’t just an exercise in increasingly intimidating notation! It turns out to be an elegant perspective that allows us to glimpse a more powerful abstraction.
In this talk, we’ll see how playing with this notion leads to the Yoneda Lemma, a key result in category theory. We’ll build up some intuition and motivation for the Yoneda Lemma, and return to the notion of viewing objects as functions to appreciate some of its implications.
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