Calculus for History Majors

As we discover the huge role complex natural systems have in change of all kinds, we’re finding that evolving systems are our environment, the whole context and much of the shape of history.

It’s high time history majors learned about the best method available for reading their changes. A most curious and revealing thing about complex systems is that the first evidence of emergent change is often a display of the physical property that corresponds to the central mathematical idea of calculus, continuity.

In a mathematical function you can define a slope, and the same is true of almost any real change in complex systems. Complex systems evolve through progressions, and applying a logic like that of calculus to measures of change over time shows you where the progressions emerge from the noise and when they shift.

It reveals a great deal about the nature of a system because it provides direct evidence of it’s creative behavior as a whole.

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