📘 Calculus Intro
Analysis is the study of the results from infinite processes. Many infinite processes converge meaning their results stabalise to constant (i.e. unchanging) finite values. Calculus is one branch of Analysis.
Calculus Introductory Example :: Xeno’s paradox (TOK connection) — Even though we could subdivide the distance between two points an infinite number of times, surely that doesn’t prove the sum of those distances is infinite. Rather, the overal sum ‘stops changing’ after a while and stabalises to a nice constant result, because the size of successive subdivisions converge to 0, so each new step ‘is too small to add any change’.