So even making these “2D” illustrations is a concession to the limitations of our visual systems and our limited abilities to represent and comprehend things.

Even our little drawings and animations we make to help comprehend it are all metaphorical:

There’s no lines and arrows. There’s no saddles with the saddle points. We’re representing n-dimensional concepts on a two dimensional illustration: flat piece of paper… flat computer screen… and then we have to take that and map it to our cognitive systems and SOMEHOW expand it into “understanding”.

There’s no points with the points either smile emoticon

Of course, even to say “2 dimensional piece of paper” isn’t correct either: It’s 4 dimensional, like all things are that we’re aware of with certainty.

So even making these “2D” illustrations is a concession to the limitations of our visual systems and our limited abilities to represent and comprehend things.

Sometimes we have to purposely “forget” these things in order to progress, but I like reminding myself of them frequently as it keeps me humble smile emoticon

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