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A quantity which is increased or decreased by an…

“A quantity which is increased or decreased by an infinitely small quantity is neither increased nor decreased.” quote by Johann Bernoulli
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“A quantity which is increased or decreased by an infinitely small quantity is neither increased nor decreased.”

Johann Bernoulli

About This Quote

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

Infinitesimal changes do not affect the overall quantity, illustrating the concept of differential invariance.

In simple terms: Tiny changes don’t alter the whole.

Key Takeaway

Recognize limits of small variations.

Themes

mathematics calculus continuity

Mood

analytical neutral

Type

technical educational

When to use this quote

  • physics problem solving
  • engineering design
  • financial modeling

Key Concepts

differential calculus limit theory infinitesimals

Questions to Reflect On

  • How do infinitesimal changes impact larger systems?
  • When can small variations be ignored?
A Different Perspective

Assumes idealized conditions; real-world noise may matter.

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