Why the number 0 was banned for 1500 years - Summary

Summary

The video traces the history of the number zero. Early humans used tally marks but had no symbol for nothing. Around 300 BC the Babylonians introduced a placeholder mark for empty columns in their base‑60 system, yet they did not treat zero as a number. The ancient Greeks, influenced by a mystical view that linked numbers to physical shapes and divine concepts, rejected zero as both a placeholder and a number, associating it with the void and denying God; this belief kept zero forbidden in the West for about 1,500 years and prevented them from solving problems like Zeno’s paradox or developing calculus. In contrast, Indian mathematicians embraced zero as a genuine number, fitting it between positives and negatives, which gave rise to negative numbers, algebra, and the modern number line. Through Arab scholars and later Fibonacci, zero and Arabic numerals reached Europe, eventually overcoming religious opposition. Acceptance of zero allowed the notion of limits—essential for calculus—so that Achilles could overtake the tortoise in Zeno’s paradox and modern science, technology, and computing could arise. The video concludes with a sponsorship pitch for Curiosity Stream and its partner platform Nebula.

Facts

1. The video is sponsored by Curiosity Stream.
2. Signing up for Curiosity Stream via the link in the description gives access to the Nebula streaming service.
3. The number zero was forbidden for about 1,500 years in Western thought.
4. Before zero was invented, humans had no symbol for the concept of zero.
5. Humans had to invent zero as a mathematical concept.
6. Around 300 BC, Babylonian mathematicians invented a placeholder symbol to indicate an empty column in their sexagesimal system.
7. The Babylonians used a base‑60 (sexagesimal) positional notation system.
8. The Babylonian placeholder distinguished numbers such as 3,601 from 3,660 or 61.
9. The Babylonian placeholder meant “nothing there” but was not considered a number and was not used in arithmetic operations.
10. Ancient Greeks rejected zero both as a number and as a placeholder, associating it with non‑existence and the denial of God.
11. According to Aristotelian doctrine, a void (zero) could not exist, which contributed to zero’s taboo in the West for over 1,500 years.
12. Indian mathematicians were the first to treat zero as a true number, placing it between positive and negative values on the number line.
13. The Indian acceptance of zero facilitated the development of negative numbers and early algebra.
14. The Italian mathematician Fibonacci introduced zero and Arabic numerals to Europe after studying in Africa.
15. Despite Church opposition labeling zero as Satanic, its practical utility led to its adoption throughout Europe.
16. Zero’s acceptance enabled the formal concept of limits, which resolved Zeno’s paradox by showing an infinite series can converge to a finite value.
17. The limit concept, based on zero, is foundational to calculus.
18. Zero is essential to modern binary computing, as computers operate on strings of zeros and ones.
19. Zero plays a role in modern geometry, navigation, and technologies such as credit‑card minimum payments and planetary orbit predictions.
20. The creator’s documentary on whether zero was invented or discovered is available on Nebula, which is partnered with Curiosity Stream.