Why is natural log abbreviated as ln and not nl ?

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Discussion Overview

The discussion centers around the abbreviation "ln" for natural logarithm, exploring its origins and the reasoning behind the notation. Participants delve into historical, linguistic, and cultural aspects of the term, with a focus on its usage in different languages and its attribution to specific individuals.

Discussion Character

  • Exploratory
  • Historical
  • Debate/contested

Main Points Raised

  • One participant questions why the natural logarithm is abbreviated as "ln" instead of "nl".
  • Another participant suggests that the placement of adjectives after nouns in various languages may indicate that the notation was not first published in English.
  • Some participants mention that the abbreviation may derive from Latin, specifically from "logarithmus naturalis".
  • A participant asserts that the notation "ln" is an American invention attributed to Irving Stringham, who first used it in 1893, though the exact meaning of "ln" remains unclear.
  • Another participant corrects a typo regarding the date of Stringham's first use of "ln".
  • A participant notes that in Portuguese, the term used is "Logaritmo natural", which also uses the abbreviation "ln".

Areas of Agreement / Disagreement

Participants express differing views on the origins and meaning of the abbreviation "ln", with no consensus reached regarding its definitive explanation. Some agree on the attribution to Stringham, while others speculate on its Latin roots and the implications of language structure.

Contextual Notes

Participants acknowledge the lack of definitive documentation explaining the abbreviation "ln", leading to various interpretations and assumptions about its origins.

sheldonrocks97
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Why is natural log abbreviated as "ln" and not "nl"?

I've been taking calculus for a while now and I was just wondering why natural logarithm is abbreviated as "ln" and not "nl". I'm just curious!
 
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There are many languages that place adjectives after nouns.. I highly doubt the idea was first published in English.
 
Hmm... interesting. I actually heard it was from Latin, but I just randomly saw that on the internet.
 
Latin has adjectives after nouns.
 
sheldonrocks97 said:
I actually heard it was from Latin, but I just randomly saw that on the internet.
Exactly. The "natural logarithm" in English is the logarithmus naturalis in Latin. Back in the day, it was Latin rather than English that was the lingua franca of the technical community.
 
1MileCrash said:
Latin has adjectives after nouns.
That post must be your magnum opus. :-p

But it's true, Latin has not much in the way of word order. Either way is usually just as good as the other.
 
1MileCrash said:
There are many languages that place adjectives after nouns.. I highly doubt the idea was first published in English.

The idea, no. But the notation, yes. The first use of ln is attributed to New York-born Irving Stringham in 1983. This is beyond historical doubt. Nobody has ever found an earlier use of the notation. Stringham got his degree from Harvard and was a professor of math at Berkeley. The notation ln is an American invention all the way.

http://en.wikipedia.org/wiki/Irving_Stringham

The truth of the matter is that nobody knows what ln is intended to mean. Nobody ever wrote down "ln stands for logarithmus naturalis," or "ln stands for Napier's logarithm," or any other explanation. All definitive answers in this thread are idle speculation. Stringham never bothered to explain it.

See also

http://www.pballew.net/arithme1.html#ln for a detailed account of the terminology and notation. That page shows an excerpt from Stringham's 1893 book, in which he states that the natural logarithm is notated "ln" without providing any explanation at all. Could be Latin, could be for Napier, could be anything.
 
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SteveL27 said:
The first use of ln is attributed to New York-born Irving Stringham in 1983.

Typo. You mean 1893 when, as you say, his book was published. Good post though.
 
In portuguese (my idioma) we speak Logaritmo natural (ln)
 

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