Arithmetic Quote by John von Neumann
“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.”
About This Quote
Source Paper: "Various Techniques Used in Connection with Random Digits", 1951
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.
