Modern computers still use arithmetic methods from ancient Egypt

Arithmetic by Computer and by Human - Tony Mann · 45:36 · Video: Gresham College · Watch at the source

In short: We often view computers as the pinnacle of mathematical innovation, yet their core logic is surprisingly ancient. While we may have forgotten how to perform long division or recall our times tables, the machines we rely on for complex calculations are executing methods developed thousands of years ago.

Professor Tony Mann explores the lineage of arithmetic, noting that while skills like logarithms and long multiplication have faded from common human memory, the underlying mechanics of computing are deeply rooted in history. The primary method used by modern computers for arithmetic is one of the oldest known techniques, tracing its origins back to the calculations performed by ancient Egyptians.

The evolution of these tools spans from the physical abacus to modern mobile phone calculators. This progression highlights a shift in human capability: we have moved from internalizing mathematical processes to delegating them to external systems. However, this delegation raises questions about the continued relevance of foundational skills, such as multiplication tables, in an era where calculating facilities are always at hand.

The study of computing mathematics also intersects with the history of Gresham College, which has hosted pioneering figures like Henry Briggs and Edmund Gunter. Beyond simple arithmetic, the role of computers is now expanding into the realm of mathematical proof—the pursuit of establishing truth with absolute certainty. This shift is forcing a reevaluation of how we perceive the nature of mathematics itself.

Interestingly, the very concept of number is not universal. Anthropologist Pierre Pica notes that some Amazonian tribes lack traditional concepts of number and time, instead relying on an intuitive grasp of ratios. This suggests that while arithmetic is a fundamental requirement for most human societies, the way we conceptualize and calculate it remains a specific cultural and technological development.

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