Analysis Quote by Kenneth E. Iverson
“If it is to be effective as a tool of thought, a notation must allow convenient expression not only of notions arising directly from a problem, but also of those arising in subsequent analysis, generalization, and specialization.”
About This Quote
Source Book: APL Programming Language, 1962
Effective notation should let users express both immediate ideas and later abstractions easily.
In simple terms: Good symbols help express ideas now and later.
Key Takeaway
Choose clear, extensible symbols.
Themes
communication
abstraction
design
Mood
analytical
practical
Type
technical
educational
When to use this quote
- software design
- mathematical modeling
- teaching
- documentation
Key Concepts
notation theory
programming language
Questions to Reflect On
- What symbols hinder your work?
- How can you simplify?
A Different Perspective
Complex notation can become opaque.
![“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)
![“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)
![“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)
