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Calculus Quote by Steven Strogatz

“Yet in another way, calculus is fundamentally naive, almost childish in its optimism. Experience teaches us that change can be sudden, discontinuous, and wrenching. Calculus draws its power by refusing to see that. It insists on a world without accidents, where one thing leads logically to…” quote by Steven Strogatz
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““Yet in another way, calculus is fundamentally naive, almost childish in its optimism. Experience teaches us that change can be sudden, discontinuous, and wrenching. Calculus draws its power by refusing to see that. It insists on a world without accidents, where one thing leads logically to another. Give me the initial conditions and the law of motion, and with calculus I can predict the future -- or better yet, reconstruct the past. I wish I could do that now. ””

Steven Strogatz

About This Quote

Source Book: The Joy of x, Steven Strogatz, 2012

Calculus assumes smooth, continuous change, ignoring sudden, unpredictable events that shape reality.

In simple terms: Calculus overlooks abrupt changes.

Key Takeaway

Remember that models have limits.

Themes

science philosophy uncertainty

Mood

thoughtful analytical

Type

technical philosophical

When to use this quote

  • engineering design
  • financial forecasting
  • climate modeling
  • personal planning

Key Concepts

continuity determinism modeling initial conditions

Questions to Reflect On

  • How do you account for sudden changes in your field?
  • When does a smooth model fail?
A Different Perspective

Real-world systems often involve discontinuities that calculus cannot capture.

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