Zero
Charles Seife
27 min
9 Key Points
4.5 RateWhat's inside?
Explore the fascinating journey of 'zero', from its controversial birth to its dynamic role in revolutionizing our understanding of mathematics and the universe.
You'll learn
1. How did zero become a thing?2. What's the big deal about zero in math and philosophy?3. Why is zero so important in science?4. How has zero shaped modern tech?5. Why does zero cause a fuss in some cultures and religions?6. What's scary or weird about zero?Key points
01The Birth of Zero: Ancient Civilizations
The inception of zero, a concept that seems so simple and fundamental to us today, was a revolutionary development in the ancient world. Its emergence in different civilizations, notably the Babylonians and the Mayans, not only transformed mathematical systems but also instigated profound philosophical and cultural shifts. The Babylonians, one of the earliest civilizations to incorporate a placeholder zero, began using this concept around 300 BC. They employed a double wedge symbol to denote an empty place in their sexagesimal (base-60) number system. However, their understanding of zero was not fully formed. They did not perceive it as a number in its own right, but rather as a placeholder to represent the absence of a value. This rudimentary understanding of zero, while a significant step, was limited in its mathematical potential. In stark contrast, the Mayans, an ancient civilization in Central America, developed a fully-fledged concept of zero by the 4th century AD. They used a shell symbol to represent zero in their vigesimal (base-20) number system. The Mayans' understanding of zero was far more advanced than that of the Babylonians. They recognized zero not only as a placeholder but also as a number with its own value and mathematical properties. This conceptual leap allowed for more complex calculations and the development of a positional number system, significantly advancing their mathematical capabilities. The philosophical implications of zero were profound in these ancient civilizations. In Babylonian culture, the concept of nothingness was associated with chaos and the void, reflecting their understanding of zero as an absence. This association with chaos and void underscores the Babylonians' limited understanding of zero, viewing it as a symbol of lack rather than a number with its own value. On the other hand, the Mayans viewed zero as a symbol of completion and the cyclical nature of time, as reflected in their intricate calendar systems. This interpretation of zero as a symbol of completion and cyclicity demonstrates a more sophisticated understanding of the concept, recognizing its inherent value and potential. The birth of zero in these ancient civilizations was not just a mathematical development, but also a philosophical and cultural shift. It challenged the existing understanding of numbers and value, paving the way for more advanced mathematical systems and concepts. The evolution of zero from a mere placeholder to a number with its own value and properties underscores the transformative power of this 'dangerous idea'. It is a testament to the intellectual prowess of these ancient civilizations and their significant contributions to the mathematical and philosophical foundations of our modern world.
02Zero in the East: The Indian Subcontinent
The inception and evolution of the concept of zero in the Indian subcontinent marked a significant turning point in the annals of mathematics and philosophy. The journey of zero, or 'Shunya' as it was known in ancient India, began with the mathematician Brahmagupta in the 7th century. Brahmagupta's pioneering work, Brahmasphutasiddhanta, laid the foundation for the formalization of operations involving zero, including the rules of addition and subtraction. This was a monumental leap in the mathematical landscape, as it introduced a new dimension to numerical calculations and theoretical mathematics. The 9th century saw the concept of zero further refined by another Indian mathematician, Mahavira. He elucidated that zero divided by zero does not yield a definite number, a principle that holds true in contemporary mathematics. This clarification was a significant contribution to the understanding of zero, as it addressed a complex mathematical problem and set a precedent for future mathematical theories. The integration of zero into the decimal system was another pivotal development, largely credited to the mathematician Aryabhata. His work, Aryabhatiya, written in 499 AD, utilized a placeholder to signify the absence of a value, effectively incorporating zero into calculations. This was a revolutionary step that transformed the decimal system, making it more efficient and comprehensive. The transmission of the concept of zero to the Islamic world during the reign of the Abbasid Caliphate was a crucial event in the global dissemination of this mathematical concept. Indian mathematical works were translated into Arabic, and the mathematician Al-Khwarizmi, in his work "Al-Jabr wa-al-Muqabilah", adopted the Indian numeral system, including the concept of zero. This facilitated the spread of zero to the Western world, influencing mathematical thought and practice across cultures and continents. The development and incorporation of zero in the Indian subcontinent was not merely a mathematical achievement, but also a philosophical one. The concept of 'nothingness' or 'void' was deeply ingrained in Indian philosophy and spirituality, which greatly influenced the acceptance and understanding of zero. This philosophical underpinning of zero underscores the profound interplay between mathematics and philosophy in the Indian subcontinent, and how this synergy contributed to the evolution of a concept that has become fundamental to modern mathematics. In conclusion, the journey of zero from the Indian subcontinent to the wider world is a testament to the profound intellectual and philosophical contributions of ancient Indian scholars. Their work has left an indelible mark on the field of mathematics, shaping our understanding of numerical systems and influencing mathematical thought across the globe.
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03Zero's Journey West: The Arab World
04Zero's Struggle: The European Resistance
05Zero's Triumph: The Scientific Revolution
06Zero's Dark Side: The Infinity Paradox
07Zero in the Quantum Realm: Modern Physics
08Zero's Future: The Final Frontier
09Conclusion
About Charles Seife
Charles Seife is an American author and journalist, specializing in science and mathematics. He is a professor at New York University's Arthur L. Carter Journalism Institute. Seife's work often explores the intersection of science, technology, and policy.