“We might have trouble forecasting the temperature of the coffee one minute in advance, but we should have little difficulty in forecasting it an hour ahead.”

approach. Textbooks showed students only the rare nonlinear systems that would give way to such techniques.

In daily life, the Lorenzian quality of sensitive dependence on initial conditions lurks everywhere.

The discovery cut through the heart of the controversy.

depending on how fast the puck is already moving. Nonlinearity means that the act of playing the game has a way of changing the rules.

Shallow ideas can be assimilated; ideas that require people to reorganize their picture of the world provoke hostility.

Nature forms patterns. Some are orderly in space but disorderly in time, others orderly in time but disorderly in space.

eliminated the Newtonian illusion of absolute space and time; quantum theory eliminated the Newtonian dream of a controllable measurement process; and chaos eliminates the Laplacian fantasy of deterministic predictability.”

Nonlinear systems with real chaos were rarely taught and rarely learned.