Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Inactive » math-history-list

Topic: math query
Replies: 10   Last Post: Oct 26, 1995 6:40 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Steve Schwartzman

Posts: 6
Registered: 12/3/04
Re: math query
Posted: Oct 26, 1995 1:57 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

As there have been many good responses so far, I'd just like to add a
little bit about the Latin number words in the teens up to seventeen:

undecim = one (plus) ten
duodecim = two (plus) ten
tredecim = three (plus) ten
...
septemdecim = seven (plus) ten

Because of sound changes over many centuries, a Latin word like undecim was
gradually "eroded" to once in Spanish and onze in French, in both of which
there's practically nothing left that reveals the original word for ten. In
Italian, on the other hand, undici still reveals the original words for one
and ten pretty clearly. So we can't generalize about the words for eleven
and twelve being special in the Romance languages.

There isn't anything special about the words for fifteen in Romance, unless
you mean that in Spanish (and similarly in Portugues quince is the last of
the sound-altered teen numbers that developed from Latin; from diez y seis
onward, the numbers have been reformulated analytically.

In contrast, in the Germanic languages the words for eleven and twelve are
special, meaning "one left (after ten)" and "two left (after ten)". Once
again, because of changes in the language, the modern form eleven reveals
practically nothing of the original word for "one" that it contains.
Similarly, almost nobody would now connect the -lev- of eleven and the -lv-
of twelve with the word "left," although the connection makes sense once
it's pointed out.

Other instances of the "hidden" number one in English words are:

a, an (a book is one book, an apple is one apple)
any (If you have any books, you have at least one)
alone ("all one" = all by oneself)
only ("one-ly")
atone (to be "at one" with oneself)
none (n[ot even] one)

----------------------
> I am a high school math teacher with a historical question. Bill Dunham
>suggested I ask you. Why in both the Romance and Germanic languages are
>eleven and twelve so different from the rest of the teens, and why is
>fifteen in the Romance languages different from the rest of the teens?
>
> If you can help, I'd really appreciate it!
> Bonnie Leitch
> New Braunfels High School
> New Braunfels, Texas
>







Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.