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I remember when I was at school (this was 6th or 7th grade) and the teacher wrote
y = xand drew a diagonal line on a Cartesian plane. At that moment, I realized that the world was made of math and I was enlightened. I'm not exaggerating - the experience revolutionized the way I could think.The interesting thing to me is that I have worked with physicists who appear to be capable of even higher levels of abstraction than I am. If I read an equation, I need to think about its geometrical representation but they claim to think directly in terms of equations. (Pure mathematics, not the letters and numbers that make up the written equation.) I believe them because they can comprehend equations much faster than I can; they and I would go to talks where the presenter just put up slide after slide of equations and I would be lost almost immediately while they were able to follow along. I don't think that's simply because they're much smarter than I am, because I am otherwise generally able to match them intellectually.
I wish I had their brain type, I struggled in math to remember the formulas. I had a great time learning it, otherwise. Calculus was awesome, I had never considered measuring the rate of change of the rate of change and I got pretty excited. Set theory was great too.