[Boards: 3 / a / aco / adv / an / asp / b / bant / biz / c / can / cgl / ck / cm / co / cock / d / diy / e / fa / fap / fit / fitlit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mlpol / mo / mtv / mu / n / news / o / out / outsoc / p / po / pol / qa / qst / r / r9k / s / s4s / sci / soc / sp / spa / t / tg / toy / trash / trv / tv / u / v / vg / vint / vip / vp / vr / w / wg / wsg / wsr / x / y ] [Search | Free Show | Home]

From Merzbach and Boyer's "A History of Mathematics"

This is a blue board which means that it's for everybody (Safe For Work content only). If you see any adult content, please report it.

Thread replies: 17
Thread images: 1

File: 458-babylonian.jpg (26KB, 522x302px) Image search: [Google]
458-babylonian.jpg
26KB, 522x302px
From Merzbach and Boyer's "A History of Mathematics" (good read by the way, heartily recommend) -
"The decimal system, common to most civilizations, had been submerged in Mesopotamia under a notation that made fundamental to the base 60"
>base
>60
Why? What would compel them to do this?
>>
>>7779247
What would compel you to do base 10? It's all arbitrary.
>>
>>7779247
Because fuck it, I made up a base 16 number system when I was little because I was bored. It has absolutely no effect on anything.
>>
>>7779256
You actually want the number to be as composite as possible, senpai.
>>
>>7779256
We have 10 fingers
>>
I prefer base G!, or as I've come to call it, base 10.
>>
>>7779289
That's an extremely problematic statement, you shitlord.
>>
>>7779256
This >>7779289. Merzbach and Boyer actually discuss in the opening chapters how base systems developed. There's a small section on anthropological studies that looked into the base systems used by Native Americans - most tribes used either decimal or quinary system (after the number of fingers), and that a small percentage either used a binary or ternary system. 10% used a vigesimal system (base 20). The simple conclusion is that we developed from a basic system of two's and three's, to counting with one set of fingers, or both sets, to some systems which used both fingers and toes.

But base 60 as used in Mesopotamia has no parallel.
>>
>>7779294
Base 10 is ableist and reeks of thin privilege. Not everyone can see their digits due to problems with excess adipose tissue, shitlords!
Also, it's sexist and an obvious sign that math is patriarchal. See how the big, long, powerful one - very much like a phallus - precedes the round, softer, 0 which looks of course like a vagina. The 1 is thrust before the 0, saying "The penis comes before the vagina".
>>
>>7779247

Any other mathematics history books for a beginner? Come on faggots, recommend one.
>>
>>7779318
The History of Mathematics isn't really for a beginner, it gets quite heavy going later on. A better text for a beginner would be Mathematics for the Non Mathematician.
>>
It is possible for people to count on their fingers to 12 using one hand only, with the thumb pointing to each finger bone on the four fingers in turn. A traditional counting system still in use in many regions of Asia works in this way, and could help to explain the occurrence of numeral systems based on 12 and 60 besides those based on 10, 20 and 5. In this system, the one (usually right) hand counts repeatedly to 12, displaying the number of iterations on the other (usually left), until five dozens, i. e. the 60, are full.
>>
>>7779247
Two reasons: 60 can be divided by 2, 3, 4, 5, and 6. This can be useful for representing fractions as decimals. And this can be represented on the hand by pointing to one of the 12 knuckles on one hand's 4 fingers with one of the 5 fingers on the other hand, giving a unique representation for all 60 digits (5x12=60)
>>
>>7779329
>>7779332
That's actually a really good explanation. Knuckle bones, eh.
>>
>>7779247
>good read by the way, heartily recommen
I'll take you up on that you shill
>>
>>7779247
>What would compel you to do base 10? It's all arbitrary
base e!
>>
>>7779336
base 12 systems are very common, even English goes 12 then thirteen, inches and feet are another example.

12 is divisible by 1,2,3,4 and 6, while 10 is only divisible by 1,2 and 5 making 12 a very easy number to work with.
60 is, as another anon said, 12x5 and is therefore divisible by 5 too.
Thread posts: 17
Thread images: 1


[Boards: 3 / a / aco / adv / an / asp / b / bant / biz / c / can / cgl / ck / cm / co / cock / d / diy / e / fa / fap / fit / fitlit / g / gd / gif / h / hc / his / hm / hr / i / ic / int / jp / k / lgbt / lit / m / mlp / mlpol / mo / mtv / mu / n / news / o / out / outsoc / p / po / pol / qa / qst / r / r9k / s / s4s / sci / soc / sp / spa / t / tg / toy / trash / trv / tv / u / v / vg / vint / vip / vp / vr / w / wg / wsg / wsr / x / y] [Search | Top | Home]

I'm aware that Imgur.com will stop allowing adult images since 15th of May. I'm taking actions to backup as much data as possible.
Read more on this topic here - https://archived.moe/talk/thread/1694/


If you need a post removed click on it's [Report] button and follow the instruction.
DMCA Content Takedown via dmca.com
All images are hosted on imgur.com.
If you like this website please support us by donating with Bitcoins at 16mKtbZiwW52BLkibtCr8jUg2KVUMTxVQ5
All trademarks and copyrights on this page are owned by their respective parties.
Images uploaded are the responsibility of the Poster. Comments are owned by the Poster.
This is a 4chan archive - all of the content originated from that site.
This means that RandomArchive shows their content, archived.
If you need information for a Poster - contact them.