I wonder if "pa-ci-re" is an efficient way to say "132". It may be
good for a computer, which "understands" the things in a syntactic
way, but I would say that humans prefer the semantic-pragmatic way
which is found in "one-hundred, three-tens, two-units", (even if tens
is said "-ty" and units is implicit), because there's the positional
meaning of 1 that means "one hundred" imported in the language.
People tend to think pragmatically/semantically, not only along
syntax, as, perhaps, Lojban does a little too much ?
2012/3/2, M.Nael <muhamm...@gmail.com>:
> Has anyone tried to use *just* the maths (and generally science-part) of
> Lojban?
>
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ba zu ju'o cu'i I would like to practice using lojban numbers for a
memory system (inspired by
https://en.wikipedia.org/wiki/Mnemonic_major_system) and practice
using them for arithmetic.
--
mu'o mi'e .arpis.
From what I know of the chinese language, 523 is said :
5 100 2 10 3 in Chinese.
520 is said :
5 100 2 10
500 is said :
5 100
506 is said :
5 100 6 or if you want 5 100 0 10 6
And there are subdivisions by powers of 10000 (not 1000)
From my meager experience, the lojban system is nicer than English for
thinking of _numbers_, as long as _quantity_ doesn't matter. That's
okay, though, because any digit based system is poor at expressing
quantity at scale.
--
--
Also, one say I passed IQ tests or something like that and there was a
test where numbers of three and four digits appeared on a screen like
flash and one had to tell if two consecutive numbers were the same or
different.
And I had good results because I coded internally (in my mind) "1234"
as "one-two-three-four", and not as "one thousand two hundreds
thirty-four".
So, for this kind of task, i.e. identifying a sequence, a strictly
digital approach is good. But to compute quantities and have a good
insight of their meaning, "one thousand two hundreds and so on" is the
right approach...
[Besides, it was also proved that people whose language has
monosyllabic words for the digits were better at this kind of test,
for prosodic and mnemonic obvious reasons]
Maybe the irregularities lie in alternative counting symbols like the
ancient Heavenly Stems and Earthly Branches... actually not many
Chinese people can enumerate all of the characters, let alone writing
down them :P
2012/3/3 Sebastian Fröjd <so.co...@gmail.com>:
> I've been trying to find the reference of what I've been reading, but IChinese numeral expressions are mostly regular... in the "ten-one,
> haven't found it yet. From what I remember, it was something about chinese
> count like eight-nine-ten-tenone-tentwo etc, instead of the illogical
> eleven-twelve etc. So that could be the cause why chinese children grasp the
> base-10 position system earlier. Unfortunately I have no reference to this
> research at the moment. But maybe this could be a start?:
>
ten-two" situation the leading "one"s are omitted, and for large
numbers it is sometimes acceptable to just say the individual digits;
i remember having said something like "the file size is five four
three two eight zero six bytes" for my classmate to verify the
transferred data.
And ordinals are formed by simply prefixing
cardinals.
Maybe the irregularities lie in alternative counting symbols like the
ancient Heavenly Stems and Earthly Branches... actually not many
Chinese people can enumerate all of the characters, let alone writing
down them :P
I think that's two very different things.
When you read a phone number or register a room number, or even give a
year, you give a MNEMONIC. Saying nineteen-o-three or six-three-one
or saying a phone number in any of the numerous ways to segment it
(not forgetting the "normal numeral" way) : you just say some numeric
value which is used as a *menmonic* but FOO-BAR-THINGEY would do as
well as THREE-TWO-ONE.
That's also why you can use Heavenly Stems, which are a cyclic system
of patterns that emulate small integers.
But when you want to speak of a QUANTITY, it becoms important to tell
if some digit indicates a DOZEN, a HUNDRED, a TERABYTE, and so on.
*Weight* becomes an essential notion. At least, it renders the
imagination of what the number means more easy to build up. 234 is 2
hundreds plus 3 tens plus 4 units, and 200 is simply 2 hundreds, so
you can sum 200 + 300 by thinking "2 + 3" hundreds, and then, act as
if "HUNDRED" was a mere noun.
(By the way, it's the same reason in fraction, there is a denominator
and a numerator. TWO THIRDS is two things of the same kind, namely
"thirds". The demoninator "third" encapsulates the denomination of
this kind. The numerator numbers it, that is, it says there are two
of the kind)
.
So, let's not confuse MNEMONICS and QUANTITIES.
English uses eleven and twelve because it's base-12, not base-10.
doi lai ry Muhammad an-Nuqrashi ry
Sapir-Whorf has two variants -- one is whether language *limits* what
you can think, and the other is if language merely influences how you
think. The former is near completely disproven, the latter is fairly
well accepted.
mi'e cntr
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Proto-Germanic may have had alternating bases 12 and 10, but all modern
Germanic languages are strictly decimal, and "eleven" and "twelve" are just
leftovers of PGmc usage.
Some Italo-Western Romance languages switch between sixteen and seventeen,
others between fifteen and sixteen. Neither is what Latin did; Latin counted up
to septendecim, then backward to viginti. Sometimes, for fun, I count in
Spanish as one did in Latin: once, doce, trece, catorce, quince, sece,
setence, dosdeveinte, undeveinte, veinte.
Pierre
--
The Black Garden on the Mountain is not on the Black Mountain.
The main topic has to do with the way we represent numbers.
Numbers can work either as a MNEMONIC (in which case, one-two-three is
just the same kind of thing as A-B-C, foo-bar-foobar, or A-3-foobar)
or as a QUANTITY
The important thing with QUANTITY is that they are the compound of a
NUMBER with a MAGNITUDE, that is, in two thousands, it's either 2000
either 2 x (unit = a thousand).
This has to do with what the French call "chiffres significatifs"
(meaningful digits ?)
In the number 2700, 2 and 7 are meaningful digits, but 7 is less
meaningful than 2, because it imports some precision whereas 2
indicates the big number.
The 0s are not meaningful at all, as can be seen if we get another
unit in base 10 : 2700 = 27 x 100 = 2,7 x 10^3, and so on.
In the process of MEANING in a QUANTITY, it is mandatory to
distinguish meaningful numbers from meaningless ones. Speaking of
2300 as 2 thousands 3 hundreds carries the meaning that it is in fact
2 x 10^3 + 3 x 10^2, which does not exist in the lojbanic way of
numerating...
This is important, because 2000 + 1000 can be viewed either as 2000 +
1000 or as 2 thousands + 1 thousand, which is isomorphic to 2 apples +
1 apple
QUANTITIES are the converse form of QUALITY, that is, 2100 come
naturally with "apples" or "dollars" or "Newtons"... And in the
concept of Quality, the unit takes place, thus : "kilo-", "Mega-",
"Giga-", "Tera-" which are just another way to say powers of tens.
This is not required at all for MNEMONIC. The name of a room, of a
computer, of a login, or even of a year, is a mnemonic, and thus, can
be registered through a simple sequence of digits, --- which
QUANTITIES are not fit for.
I'll keep you posted on how it all goes with me and maths...››MN
--
(Incidentally, my 8yo's 4th grade class (Jewish day school) was
also taught this system for memorizing what was the main part of each
chapter of Genesis)
--gejyspa