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Axioms Quote by Richard Bookstaber

“Mathematics works only with computationally reducible systems. Axioms and deductive logic are intended to provide shortcuts, to give general results that can compress a problem and provide insight into its workings so that it can be solved without having to take on the tedious task of running…” quote by Richard Bookstaber
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““Mathematics works only with computationally reducible systems. Axioms and deductive logic are intended to provide shortcuts, to give general results that can compress a problem and provide insight into its workings so that it can be solved without having to take on the tedious task of running things through step by step. For example, the math behind ballistics tables allows an artillery gunner to calculate where the shell will land before it is fired. By contrast, there is no precalculated table to consult to determine the best path through rush hour traffic.””

Richard Bookstaber

About This Quote

Source Book: The End of Money, Richard Bookstaber, 2010

Mathematics simplifies complex systems, but not all real‑world problems are reducible.

In simple terms: Math gives shortcuts, not universal solutions.

Key Takeaway

Use models wisely, recognize limits.

Themes

science problem‑solving limitations

Mood

analytical cautious

Type

technical philosophical

When to use this quote

  • engineering
  • traffic planning
  • military strategy

Key Concepts

algorithmic thinking complexity theory

Questions to Reflect On

  • When do you rely on intuition over models?
  • How can you improve model accuracy?
A Different Perspective

Human behavior often defies precise modeling.

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