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Numbers are the product of counting. Quantities are the…

“Numbers are the product of counting. Quantities are the product of measurement. This means that numbers can conceivably be accurate because there is a discontinuity between each integer and the next. Between two and three there is a jump. In the case of quantity, there is no such jump; and because…” quote by Gregory Bateson
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“Numbers are the product of counting. Quantities are the product of measurement. This means that numbers can conceivably be accurate because there is a discontinuity between each integer and the next. Between two and three there is a jump. In the case of quantity, there is no such jump; and because jump is missing in the world of quantity, it is impossible for any quantity to be exact. You can have exactly three tomatoes. You can never have exactly three gallons of water. Always quantity is approximate.”

Gregory Bateson

About This Quote

This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.

Quantities are inherently approximate because measurement lacks the discrete jumps that define numbers; exactness applies only to countable items.

In simple terms: Measurements are never perfectly exact.

Key Takeaway

Accept approximation in quantities.

Themes

philosophy science measurement uncertainty

Mood

analytical cautious inquisitive

Type

educational technical philosophical

When to use this quote

  • engineering
  • science research
  • data analysis
  • everyday cooking
  • budgeting

Key Concepts

continuity discreteness error analysis systems theory

Questions to Reflect On

  • How do you handle measurement uncertainty?
  • When is exact counting essential?
A Different Perspective

Overreliance on precision can mislead decisions.

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