Computer Quote by Kenneth E. Iverson
“With the computer and programming languages, mathematics has newly-acquired tools, and its notation should be reviewed in the light of them. The computer may, in effect, be used as a patient, precise, and knowledgeable "native speaker" of mathematical notation.”
About This Quote
Source Article: APL Programming Language, 1962
Mathematics should adapt its symbols to leverage computing power, treating computers as precise interpreters of notation.
In simple terms: Update math symbols using computers.
Key Takeaway
Use computers to refine mathematical language.
Themes
mathematics
technology
notation
Mood
analytical
forward‑looking
Type
educational
technical
When to use this quote
- software development
- educational curricula
- research documentation
Key Concepts
computational semantics
formal languages
Questions to Reflect On
- How can we balance precision with intuition?
- What symbols best suit algorithmic expression?
A Different Perspective
Computers may oversimplify concepts, leading to loss of nuance.
![“Although mathematical notation undoubtedly possesses parsing rules, they are rather loose, sometimes contradictory, and seldom clearly stated. [...] The proliferation of programming languages shows no more uniformity than mathematics. Nevertheless, programming languages do bring a different…” quote by Kenneth E. Iverson](https://sms4smile.com/quotes/img-quotes/1ab/kenneth-e-iverson-37528_application_although-mathematical-notation-undoubted_1904632.jpg)
![“The precision provided (or enforced) by programming languages and their execution can identify lacunas, ambiguities, and other areas of potential confusion in conventional [mathematical] notation.” quote by Kenneth E. Iverson](https://sms4smile.com/quotes/img-quotes/d25/kenneth-e-iverson-37528_ambiguity_the-precision-provided-or-enforced-by-pr_471194.jpg)
![“It is important to distinguish the difficulty of describing and learning a piece of notation from the difficulty of mastering its implications. [...] Indeed, the very suggestiveness of a notation may make it seem harder to learn because of the many properties it suggests for exploration.” quote by Kenneth E. Iverson](https://sms4smile.com/quotes/img-quotes/3f1/kenneth-e-iverson-37528_describing_it-is-important-to-distinguish-the-diffi_460789.jpg)
