Mathesis Universalis

work by Wallis

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June 30, 2026

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Mathesis Universalis was a work published in 1657 by the English mathematician John Wallis. It covered algebra, arithmetic, and geometry, and further developed mathematical notation. Wallis is credited with introducing the symbol for infinity (\u221e). He also advanced the use of negative and fractional exponents, demonstrating their utility in mathematical calculations. The term mathesis universalis itself refers to a universal mathematics or calculus, envisioned as a foundational system for reasoning across all sciences. Wallis's work significantly contributed to the development of mathematics, influencing later mathematicians like Isaac Newton.12

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John Wallis
In 1657 Wallis published the Mathesis Universalis (“Universal Mathematics”), on algebra, arithmetic, and geometry, in which he further developed notation. He invented and introduced the symbol ∞ for infinity. This symbol found use in treating a series of squares of indivisibles. His introduction of negative and fractional exponential notation was…
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In 1657 Wallis published the Mathesis Universalis (“Universal Mathematics”), on algebra, arithmetic, and geometry, in which he further developed notation. He invented and introduced the symbol ∞ for infinity. This symbol found use in treating a series of squares of indivisibles. His introduction of negative and fractional exponential notation was…
Read More