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.”

Kenneth E. Iverson

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Computer Computers Effects Knowledgeable Language Light Mathematical Mathematics May Native Patient Precise Programming Programming languages Should Speakers Tools Used

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If it is to be effective as a tool of thought, a notation must allow convenient expression not only of notions arising directly from…

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The properties of executability and universality associated with programming languages can be combined, in a single language, with the well-known properties of mathematical notation…

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It is important to distinguish the difficulty of describing and learning a piece of notation from the difficulty of mastering its implications. [...] Indeed,…

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The precision provided (or enforced) by programming languages and their execution can identify lacunas, ambiguities, and other areas of potential confusion in conventional [mathematical]…

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Most programming languages are decidedly inferior to mathematical notation and are little used as tools of thought in ways that would be considered significant…

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Overemphasis of efficiency leads to an unfortunate circularity in design: for reasons of efficiency early programming languages reflected the characteristics of the early computers,…

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The utility of a language as a tool of thought increases with the range of topics it can treat, but decreases with the amount…

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The practice of first developing a clear and precise definition of a process without regard for efficiency, and then using it as a guide…

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Although mathematical notation undoubtedly possesses parsing rules, they are rather loose, sometimes contradictory, and seldom clearly stated. [...] The proliferation of programming languages shows…

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I was appalled to find that the mathematical notation on which I had been raised failed to fill the needs of the courses I…

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The initial motive for developing APL was to provide a tool for writing and teaching. Although APL has been exploited mostly in commercial programming,…

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Explore all 12 Kenneth E. Iverson quotes

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