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Position, velocity, acceleration, jerk, snap, crackle, pop. Your body reads exactly half that ladder — the real half. A Tegmark-style lesson for philosophy majors: you cannot feel the Earth’s thousand miles an hour because velocity is imaginary. The mathematics is not the description. It is the situation. … Continue readingYou Only Feel the Real Part
Students meet e twice — at the bank and as its own derivative. Here is a third story: run the circle lesson’s engine without the turn, and e is where the walk lands — and the exchange rate for how many steps any walk needs. … Continue readinge Is Where You Land If You Don’t Turn
Every term of the Taylor series of e^iθ is the previous term turned 90° and shrunk. Chain those perpendicular steps and a circle appears — an interactive lesson that builds rotation without assuming the unit circle. … Continue readingHow Straight Lines Make a Circle