Calculations Quote by Stanislaw Ulam
“Even the simplest calculation in the purest mathematics can have terrible consequences. Without the invention of the infinitesimal calculus most of our technology would have been impossible. Should we say therefore that calculus is bad?”
About This Quote
Source Speech: Interview on Mathematics and Technology, 1970
Mathematics can have far‑reaching, unintended impacts; calculus underpins modern tech despite its abstract nature
In simple terms: Simple math can cause big effects; calculus is essential for tech
Key Takeaway
Recognize hidden power of basic ideas
Themes
science
technology
unintended consequences
Mood
thoughtful
analytical
Type
philosophical
informative
When to use this quote
- engineering design
- computer algorithms
- medical imaging
- risk assessment
Key Concepts
calculus
infinitesimals
technological dependence
Questions to Reflect On
- How do we balance innovation with caution?
- What safeguards protect against unintended effects?
A Different Perspective
Even essential tools can produce harmful outcomes if misused
![“Foreshadowings of the principles and even of the language of [the infinitesimal] calculus can be found in the writings of Napier , Kepler , Cavalieri , Fermat , Wallis , and Barrow . It was Newton 's good luck to come at a time when everything was ripe for the discovery, and his ability enabled…” quote by Anonymous](https://sms4smile.com/quotes/img-quotes/e09/anonymous-1_ability_foreshadowings-of-the-principles-and-eve_273197.jpg)
![“He [John von Neumann] had the invaluable faculty of being able to take the most difficult problem and separate it into its components, whereupon everything looked brlliantly simple.” quote by Stanislaw Ulam](https://sms4smile.com/quotes/img-quotes/f51/stanislaw-ulam-16765_able_he-john-von-neumann-had-the-invaluable-f_448151.jpg)
