Mental exercise

[Anonymous No.9950082]

Archimedes solved for Pi.

The cognitive exercises that Archimedes had to put himself through to get to the conclusion of Pi has value in and of itself. Being handed Pi without the cognitive strain gives people a incomplete conceptualization of the radix and it's representation.

Archimedes is just an example, what if the current state of the art is limited by partial cognizance of math, rather than total cognizance?

[Anonymous No.9950085]

>>9950082
>Playing around with circles
>Measure the circumference
>Measure the radius
>Hm it looks like one of them is around three times the other one
>Dude this might be useful if we wanna build like a circular house or something
>Wow it's a constant ratio shiiiiit

[Anonymous No.9950089]

>>9950085
Yeah, but what about cognitive strain of the actual acquisition of the knowledge.

[Anonymous No.9951870]

>>9950089

You mean the cognitive strain of remembering an infinite number of digits?

[Anonymous No.9953095]

>>9950082
That's nothing. Archimedes developed some basic differential AND integral calculus using geometric infinitesimals. He didn't consider infinitesimals legit so he didn't really consider his results rigorous enough, which is why it was little known. Those brainlets Newton and Leibniz did something similar but didn't see the problem with infinitesimals so they published their brainlet shit anyways.
He wrote a book detailing his work on calculus but all copies were lost for 2000 years (the copy that was recently found had been bleached, cut in half and restitched into a smaller booket, and written over with religious bullshit during the dark ages).