Why the number 0 was banned for 1500 years

Zero was not discovered but invented, and its creation sparked over 1,500 years of controversy, with the number outright banned by ancient Greek thinkers who saw it as a threat to their mystical, shape-based view of reality. Originally emerging as a mere placeholder in Babylonian numerals, zero was rejected because its unsettling behavior—adding it changed nothing, multiplying by it erased everything—defied established doctrine. This rejection stalled mathematical progress, as seen in Zeno’s paradox, which remained unsolved until Indian mathematicians transformed zero into a true number and laid the groundwork for algebra. Zero eventually spread to Europe through Arabic numerals, resolved ancient paradoxes through the concept of limits, and became essential to calculus, which now powers medicine, finance, and space exploration. Ultimately, the video asks whether mathematics is invented or discovered, leaving us to wonder if zero would exist at all without human minds to imagine it.

• ▶ 0:09 The central hook: the number zero was forbidden for 1,500 years, raising questions about how and why a number could be banned.
• ▶ 0:26 Zero was not discovered but invented, and when humans invented it, it caused significant controversy and drama.
• ▶ 0:39 The video sets up zero's story as a journey "from zero to hero," framing the paradox of a number meaning nothing causing so much conflict.
• ▶ 0:50 Early counting systems used tally marks, but no ancient culture had a symbol or concept for zero—absence was too abstract to represent.
• ▶ 2:05 Babylon developed the first placeholder zero around 300 BC to mark empty columns in its base-60 positional system, but it was not yet a number.
• ▶ 4:44 Zero was not accepted as a real number because its behavior was unsettling: adding it changed nothing, multiplying by it made everything vanish, and division by it was impossible.
• ▶ 5:49 The ancient Greeks adopted zero from the Babylonians and rejected it entirely—banning it even as a placeholder because their Pythagorean, shape-based view of numbers left no room for zero.
• ▶ 7:37 Zero’s rejection was also deeply mystical: Greeks tied numbers to divine concepts, while zero represented non-existence and void, which contradicted Aristotelian doctrine and was forbidden for over 1,500 years.
• ▶ 8:27 This rejection blocked their mathematical progress, illustrated by Zeno’s paradox: Achilles can never overtake the tortoise because the chase requires infinitely shrinking distances—a paradox the Greeks could not resolve without zero.
• ▶ 10:11 Indian mathematicians transformed zero from a placeholder into a number, enabling negative numbers and the foundations of modern algebra.
• ▶ 11:10 Zero spread to Europe through Fibonacci and Arabic numerals, overcoming church opposition due to its practical usefulness.
• ▶ 11:50 Zeno’s paradox was resolved using limits—the infinite series approaches zero and sums to 2—making calculus possible.
• ▶ 13:01 Zero is now indispensable to modern fields like calculus, which powers medical analysis, finance, and even planetary orbit prediction.
• ▶ 13:36 Cultural and philosophical beliefs about the void shaped entire mathematical systems, affecting what different civilizations could achieve.
• ▶ 13:54 The section's central question emerges: is mathematics invented or discovered, prompting us to wonder if zero would exist without human invention.
• ▶ 14:08 The creator made a feature documentary about the video's topic, available on Nebula, a streaming platform they co-founded with other top educational YouTubers that is completely ad-free and free from YouTube algorithm pressure.
• ▶ 15:18 There's a partnership deal: signing up for Curiosity Stream via the link gives viewers Nebula completely free, plus a limited-time 26% discount that brings both platforms to under $15 a year.
• ▶ 15:36 The creator recommends the Curiosity Stream series The Story of Maths for viewers who liked this video, and directs them to sign up via the link or curiositystream.com/upandatom to support the channel.

• ▶ 0:00 Introduction and The Forbidden Zero (0:00 - 0:50) - The video opens with a sponsorship mention and reveals the surprising story that zero was forbidden for 1,500 years.
• ▶ 0:50 Early Counting and Babylon’s Placeholder Zero (0:50 - 5:45) - Stone Age counting, Babylon’s first placeholder zero, and zero’s role in arithmetic are explored.
• ▶ 5:45 The Greeks’ Rejection and Zeno’s Paradox (5:45 - 9:47) - Greek mathematicians rejected zero, influenced by Pythagoras and ideas about the void, leading to Zeno’s paradox.
• ▶ 9:47 Zero’s Revival and the Resolution of Zeno (9:47 - 12:55) - Zero was embraced in Indian mathematics, traveled to Europe via Fibonacci, and limits helped resolve Zeno’s paradox.
• ▶ 12:55 Zero’s Modern Meaning and a Big Question (12:55 - 14:08) - Zero’s modern importance, how beliefs shape mathematics, and the question of whether math is invented or discovered are discussed.
• ▶ 14:08 Outro: Nebula and Curiosity Stream Offer (14:08 - 16:10) - The creator promotes a documentary on Nebula and explains the Curiosity Stream partnership and viewer offer.