the.com/inflection point

The moment the curve stops lying to you about where it's headed.

means The specific moment in a situation or process where the direction of change fundamentally shifts, making everything before it look different in hindsight.

from Straight from calculus, where an inflection point marks where a curve switches from bending one way (concave) to bending the other (convex) — the exact spot the slope's trend reverses. 'Inflection' itself comes from Latin inflectere, 'to bend,' a cousin of words like 'flex' and 'flexible.' The math term got borrowed into business and everyday speech sometime in the 20th century as a sharper, more technical-sounding stand-in for 'turning point' — a way to make a hunch about momentum shifting sound rigorously plotted.

calculus origin
where a curve switches from bending up to down
not a peak
concavity flips, not direction of growth
business buzzword
used to sound prophetic before anything actually changes
hard to spot live
only obvious in hindsight, charted after the fact
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