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Any one who considers arithmetical methods of producing…

“Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin. For, as has been pointed out several times, there is no such thing as a random number– there are only methods to produce random numbers, and a strict arithmetic procedure of course is not such a…” quote by John von Neumann
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“Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin. For, as has been pointed out several times, there is no such thing as a random number– there are only methods to produce random numbers, and a strict arithmetic procedure of course is not such a method.”

John von Neumann

About This Quote

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

Randomness cannot be generated by a deterministic algorithm; any arithmetic method is inherently biased.

In simple terms: Algorithms cannot truly create randomness.

Key Takeaway

Recognize limits of deterministic random generators.

Themes

probability mathematics philosophy

Mood

skeptical analytical

Type

technical philosophical

When to use this quote

  • cryptography
  • simulation
  • Monte Carlo methods
  • statistical testing

Key Concepts

randomness determinism algorithmic bias

Questions to Reflect On

  • How do you validate randomness in practice?
  • Can true randomness be essential for security?
A Different Perspective

Deterministic methods can approximate randomness but never achieve true unpredictability.

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