There's no documented proof that Indian system was descended from another system. The Fountainhead was India. Hence, purely of Indian creation.
It's also a well-known fact that Al-Jabr took some mathematical aspects from India and spread them across the Arabic countries. From there they eventually reached the west. That's how Algebra got its name.
> well-known fact that Al-Jabr took some mathematical aspects from India and spread them across the Arabic countries
Your “Al-Jabr” (Short for Al-kitāb al-mukhtaṣar fī ḥisāb al-ğabr wa’l-muqābala, or The Compendious Book on Calculation by Completion and Balancing) was a book, written by Muḥammad ibn Mūsā al-Khwārizmī, who was Persian. Like other scholars writing in Arabic at the time, he read translations of Greek and Indian sources, while also doing significant original work.
The book of his which explained and advocated Indian numerals was a different book (not “Al-Jabr”). We have this in Latin translation so the original title is unknown, but Wikipedia speculatively lists Kitāb al-Jam‘ wat-Tafrīq bi-Ḥisāb al-Hind (The Book of Addition and Subtraction According to the Hindu Calculation).
[Edit: I just read the linked blog post which this discussion is ostensibly about, and noticed that the above was already described there. I assume you didn’t read it. You might want to start with that.]
If you want to play a game of “whose culture first invented everything”, we can trace a whole heck of a lot back to the Sumerians (and for what we can’t trace, who knows what still lies on some buried cuneiform tablet). But of course there were then crucial additional advancements made by Akkadians, Egyptians, Hellenes, Indians, Chinese, Arabs, Persians, Italians, French, English, Russians, Germans, Hungarians, Canadians, Japanese, .....
Mathematics is international and spreads easily. No culture can uniquely claim to have “invented” something as massive as “algebra”, even if we limit ourselves to topics taught in secondary school.
>There's no documented proof that Indian system was descended from another system. The Fountainhead was India. Hence, purely of Indian creation.
You misunderstand my comment. Read it again:
>What we use today is the modified system, it's not purely of Indian creation.
The current numeral system used is not purely of Indian creation. This chart shows the progression of the ancient Indian numeral system to the one in use today:
The ancient Indian system was adopted by Arabic scholars who in turn modified it into an early version of the form used today, although you can see that even after the general forms of the numerals were "settled" they've continued to evolve to become the ones familiar to us now.
So no, not purely of Indian creation, anymore than the modern English alphabet, as noted above, is purely a Phoenician creation. Like most concepts, it's been adopted and modified across the ages.
> There's no documented proof that Indian system was descended from another system. [...] Hence, purely of Indian creation.
If the Babylonians developed a place value number system with a zero in it before the Indians did, then it's more likely the Indians copied it from the Babylonians and changed it to base 10, than it is that the systems were developed independently, because the two civilizations were in close contact with each other. Number systems are exactly the sort of thing that ancient traders would share with each other -- it only needs to happen once during the many hundreds or thousands of such contacts.
The onus of proof is hence on you to prove any such single contact didn't happen before claiming "Hence, purely of Indian origin". It's better to write, as the article did:
> whether the Indians got the idea of a place value system from the Babylonians [...] is simply not known
What's interesting is that there is some evidence that the Brahmi script itself is descended from some variant of Aramaic. The jury is still out among experts whether or not this is the case.
The moral of this is that human history is not as easily partitioned as people would like.
(Before I get accused of being anti-India, I'd like to make it clear that I'm Indian)
You maybe an Indian, but you are no Historian. As such the same logic can be applied to the term "West" or "Western Civilization". While no single civilization, or people create anything original, there are definitely histories of a people, and therefore the accusation of borrowing, using, or obtaining some outside source of inspiration doesn't preclude that people from their own history.
While you are Indian, I often feel that many Indians also tend to lack also unfortunately basic understanding of Indian history, perhaps it's the incessant cultural demand to pursue other subject, so far as to even claim that there's no such thing as "Indian" history, but rather merely the history of different people in a region arbitrarily created by the British.
I'm not accusing you of that, but simply pointing that being Indian doesn't shield you from the accusation of either being "anti-India" or lack of knowledge.
Again, I'm not refuting your claim, merely saying that doesn't preclude, or deny the claim you're responding to. History, while complex, and civilizations more points on a spectrum, than a closed system, doesn't prevent or deny the claim of a civilization claiming a unique, distinct, and separate identity that is used to claim the products of a society.
Nothing is original. If that's you're claim then it's not a valid argument, and doesn't really address the situation other introduce some existentially reductive platitudes.
That's bullshit (sorry), Al Khwarizmi wrote a book with the words Al-Jabr in its title and we translate those words to mean calculation.
> The Compendious Book on Calculation by Completion and Balancing (Arabic: الكتاب المختصر في حساب الجبر والمقابلة al-Kitāb al-mukhtaṣar fī ḥisāb al-jabr wal-muqābala)
What the words meant originally is not entirely clear. Something like to set, adjust, reckon, I reckon.
PS: And as was pointed out, the Author is said to be from Persia
In this case, your comment would be excellent if you'd simply delete that bit. Saying sorry doesn't make it better, because the other person typically doesn't hear that part.
Yes , you are right. The interjection wasn't exactly aimed at the minor mix-up, but the whole comment. The mix-up just made me enthusiastic enough to display my overbearing sense of superior knowledge with glee. That's the same problem the GP had, so it evens out?!
It's also a well-known fact that Al-Jabr took some mathematical aspects from India and spread them across the Arabic countries. From there they eventually reached the west. That's how Algebra got its name.