have to "retrain" our intution when it doesn't match. we don't automatically know everything
we must learn more, and get intuitions for them
Rope around the earth example:
Potato example:
What we learn from the two examples is this: To make a small change in
the concentration of a minor component of a mixture requires a large
change in the dominant component of the mixture.
Any periodic signal is composed of a superposition of pure sine waves, with suitably chosen amplitudes and phases, whose frequencies are harmonics of the fundamental frequency of the signal.
