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1859 – 1930Switzerland & United States

Florian Cajori

Mathematical notation is a slowly-evolved convention, including the rules of operator precedence.

A short story

A Swiss-American historian of mathematics who became the world's leading authority on how mathematical symbols and conventions came to be the way they are. His two-volume A History of Mathematical Notations (1928–29) traced the evolution of every common symbol (, , , , the equals sign, the integral sign, even brackets) across centuries of practice. The order-of-operations conventions (BIDMAS / PEMDAS) that schoolchildren learn today are themselves the product of a long, gradual standardisation that Cajori was the first to document properly.

In their own words

Mathematical symbols, like words, are tools of thought; they should be chosen with care and used with precision.

Paraphrased: from the spirit of the introduction to Cajori's A History of Mathematical Notations, 1928.

The lab their idea turned into

Tree Lab

BIDMAS: operations have an order, and the next step is the rule.

Open Tree Lab