“But of all these principles ours is the most simple; by the others we should be led into the most complicated calculations.”

Theoria motus corporum coelestium in sectionibus conicis solem ambientum (1809) Tr. Charles Henry Davis as Theory of the Motion of the Heavenly Bodies moving about the Sun in Conic Sections http://books.google.com/books?id=cspWAAAAMAAJ& (1857)
Context: The principle that the sum of the squares of the differences between the observed and computed quantities must be a minimum may, in the following manner, be considered independently of the calculus of probabilities. When the number of unknown quantities is equal to the number of the observed quantities depending on them, the former may be so determined as exactly to satisfy the latter. But when the number of the former is less than that of the latter, an absolutely exact agreement cannot be obtained, unless the observations possess absolute accuracy. In this case care must be taken to establish the best possible agreement, or to diminish as far as practicable the differences. This idea, however, from its nature, involves something vague. For, although a system of values for the unknown quantities which makes all the differences respectively less than another system, is without doubt to be preferred to the latter, still the choice between two systems, one of which presents a better agreement in some observations, the other in others, is left in a measure to our judgment, and innumerable different principles can be proposed by which the former condition is satisfied. Denoting the differences between observation and calculation by A, A’, A’’, etc., the first condition will be satisfied not only if AA + A’ A’ + A’’ A’’ + etc., is a minimum (which is our principle) but also if A4 + A’4 + A’’4 + etc., or A6 + A’6 + A’’6 + etc., or in general, if the sum of any of the powers with an even exponent becomes a minimum. But of all these principles ours is the most simple; by the others we should be led into the most complicated calculations.

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "But of all these principles ours is the most simple; by the others we should be led into the most complicated calculati…" by Carl Friedrich Gauss?
Carl Friedrich Gauss photo
Carl Friedrich Gauss 50
German mathematician and physical scientist 1777–1855

Related quotes

“College education tends to make simple things complicated and hard to understand. What we should do is to teach our children the most essential and simple principles of life and ways to handle problems.”

Zheng Yuanjie (1955) Chiese writer

Zheng Yuanjie (2004) in: "Zheng Yuanjie's 19 years in fairy tales" on chinadaily.com.cn, May 10, 2004 ( online http://www.chinadaily.com.cn/english/doc/2004-05/10/content_329434.htm).

Dejan Stojanovic photo

“The most complicated skill is to be simple.”

Dejan Stojanovic (1959) poet, writer, and businessman

Simplicity http://www.poetrysoup.com/famous/poem/21390/Simplicity
From the poems written in English

David Levithan photo

“Simple and complicated, as most true things are.”

Variant: It’s as simple as that. Simple and complicated, as most true things are.
Source: Every Day

Edward Witten photo
Barack Obama photo

“I believe that the most important principle is a very simple one”

Barack Obama (1961) 44th President of the United States of America

2016, Young Leaders of the Americas Initiative Town Hall (March 2016)
Context: And I think one of the things that's important for bringing about further progress is that we listen to each other and we understand our differences. I don't think it's necessary for us to all speak one language, or all have the same foods, or all have the same customs. But I do believe that there are some universal principles that are important. I believe that the most important principle is a very simple one that is at the heart of most of the world’s great religions, which is treat somebody the same way you’d want to be treated. And if you start with that basic premise, then we will continue to make progress. But I also think that in order for us to make progress, we have to have that fellow feeling and we have to combine that with the use of our brains and reason, and our intellect. […] That requires not just a strong heart, but also using our heads. And if we do those two things, then I feel confident that we'll make progress.

Hassan Rouhani photo
Erich Maria Remarque photo
Koichi Tohei photo
Maria Shriver photo
John Stuart Mill photo

Related topics