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Appreciate Quote by J. Willard Gibbs

“The laws of thermodynamics, as empirically determined, express the approximate and probable behavior of systems of a great number of particles, or, more precisely, they express the laws of mechanics for such systems as they appear to beings who have not the fineness of perception to enable them to…” quote by J. Willard Gibbs
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“The laws of thermodynamics, as empirically determined, express the approximate and probable behavior of systems of a great number of particles, or, more precisely, they express the laws of mechanics for such systems as they appear to beings who have not the fineness of perception to enable them to appreciate quantities of the order of magnitude of those which relate to single particles, and who cannot repeat their experiments often enough to obtain any but the most probable results.”

J. Willard Gibbs

About This Quote

Source Book: Elementary Principles in Statistical Mechanics by J. Willard Gibbs, 1902

Gibbs explains that thermodynamic laws are statistical approximations. They describe the probable behavior of many particles, not exact individual motions, because humans lack perception of single particles and cannot repeat experiments enough for exact results.

In simple terms: Thermodynamics describes average behavior, not exact particle motion.

Key Takeaway

Understand that many scientific laws are probabilistic.

Themes

thermodynamics statistical mechanics probability scientific limits human perception

Mood

analytical contemplative

Type

scientific explanatory

When to use this quote

  • physics education
  • philosophy of science
  • understanding uncertainty in science

Key Concepts

statistical laws reductionism probabilistic determinism

Questions to Reflect On

  • How does the statistical nature of thermodynamics affect our certainty?
  • What other laws are approximations?
A Different Perspective

While probabilistic, these laws are extremely reliable at macroscopic scales, so treating them as exact is often practical.

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