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Ask me Quote by John Derbyshire

“Nonmathematical people sometimes ask me, “You know math, huh? Tell me something I’ve always wondered, What is infinity divided by infinity?” I can only reply, “The words you just uttered do not make sense. That was not a mathematical sentence. You spoke of ‘infinity’ as if it were a number. It’s…” quote by John Derbyshire
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“Nonmathematical people sometimes ask me, “You know math, huh? Tell me something I’ve always wondered, What is infinity divided by infinity?” I can only reply, “The words you just uttered do not make sense. That was not a mathematical sentence. You spoke of ‘infinity’ as if it were a number. It’s not. You may as well ask, 'What is truth divided by beauty?’ I have no clue. I only know how to divide numbers. ‘Infinity,’ ‘truth,’ ‘beauty’—those are not numbers.”

John Derbyshire

About This Quote

Source Article: The Wall Street Journal, 2015, “Infinity and the Limits of Language”

He explains that infinity is not a number, so dividing it is meaningless; abstract concepts cannot be treated mathematically.

In simple terms: Infinity isn’t a number, so you can’t divide it.

Key Takeaway

Recognize limits of language when discussing abstract ideas.

Themes

logic mathematics language philosophy of science

Mood

analytical inquisitive

Type

educational philosophical

When to use this quote

  • education
  • science communication
  • philosophical debate

Key Concepts

epistemology conceptual analysis critical thinking

Questions to Reflect On

  • How can we discuss abstract concepts without misusing math?
  • What are the dangers of treating ideas as numbers?
A Different Perspective

Over‑reliance on mathematical metaphors can mislead understanding.

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