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MATH.1:3 - Forces

ForceTension
Finite description and unbounded reuseA few generators can produce arbitrarily long paths; listing all paths is usually impossible.
Keeping distinctions and economical reasoningRemembering the generators preserves information, while a later question may need only a quotient or a numerical value.
Local compatibility and later useAn endpoint sufficient for today’s composition may hide a condition needed by a changed continuation.
Composition and interpretationConcatenation has laws by construction; a physical or computational interpretation has further conditions of its own.