(((Fe203girl)))
I agree on the distinction between arithmetic and the higher order of numbers that is math. Semantics. Thank you.
Fascinating article. I didn't read it earlier and just responded to the Leibniz quote. Too bad for him that he lived at the same time as Newton, who as I understand is credited with the discovery of calculus though Leibniz theorized it as well. If I recall, Newton and Leibniz both "discovered" differential calculus independantly but Newton theorized integral calculus overnight as a result of a challenge, or something like that. Amazing.
I had a hard time understanding calculus and physics in college but i did better when the abstract could be associated with a real world situation, which is usually the case anyways. The tough part is seeing the problem and making the connection, the numbers just follow it seems. Rote learning bites, visuals rule. I recall asking a math teacher about the relationship of the basic functions of a circle, circumference and area from a point to 2D to 3D and asked if and how the function scales upward into higher dimensions. He just kinda looked at me, said yea and continued on. I guess it wasn't in the curriculum, lol.
The math behind music and sound fascinates me though i never studied music formally. The relationship between different scales and modes, physics of the instrument, constructive/destructive interference of waves, the "magic" of harmonies, etc. Wave propagation of sound. Pebbles dropped in the 3D pond. Ever look at a vibrating bass string under a strobe? Me neither but i know it looks like a whole lotta sine waves getting funky, lol. Mind candy.
I love fractals BTW. The math of God when he's just doodling. The duality of a chaotic pattern tickles my brain, lol. I have a fractal poster above my computer, courtesy of Gregory Sams.