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The concept of circumscription has been so important for me these last 6-8 months—I don’t recall when this journey began. My mind SNAPPED at the thought of defining more and more relations to get a clearer picture of something via successive approximations
I didn’t know that’s what calculus was ACTUALLY trying to do either. My intro to math twitter was those riddles people would share, and I thought it was SO CRAZY that given these conditions (premise) here are things we can extrapolate. It’s like inference but ... responsible.
The power of geometry is innebriating. I can see how relations w/ shape can give the impression that we can understand the world THROUGH shape, provided we can properly define all the dimensions.
Which is why the Incerto was so important for that suite of intuitions, but specifically @imleslahdin & @paulportesi w/ continuous examples of what it means to not have all the dimensions. Also, I forget who the fallacy is named after
But a graph in 2 dimensions can ACTUALLY have CRAZY variation along another axis. So in my photo I think there’s something like 153! variations that can produce the same image? Whatever it is ... a flattened image can be informed by infinite variation in other dimensions.
And that’s dope. I heard today cars have “speed sign detection” and I screamed WHAT IF IT READS THE WRONG SPEED BECAUSE OF A SHARP REFLECTION OF THE SUN!!!! They built the machines in Summer, but the procession changes in Winter and can cause sharp glares!!!
I don’t even know WHY we would do this, but now I know there is a RANGE of glares to consider lmao. N e way ... SHAPE IS SO WONDEERRFFFUUULLL.
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