The mathematical language that predicts how the world changes
In short: Most equations describe a static state, but differential equations describe movement. This video breaks down how these formulas model change over time and explores what they imply about the predictability of our future.
Differential equations are fundamental tools used to model systems where the rate of change depends on the current state. By looking at two simple examples, Sabine Hossenfelder illustrates how these equations function and why specific initial conditions are necessary to find unique solutions.
The discussion extends beyond pure mathematics into philosophy, examining whether a universe governed by solvable differential equations is fundamentally predetermined.
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- Summary by Intellect · source: What are Differential Equations and how do they work?
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