Two monumental works have led many mathematicians to avoid the equal sign. The process has not always gone smoothly.

Steven Strogatz
350d ago

New article in @QuantaMagazine by Kevin Hartnett @KSHartnett, on what higher category theory is and how it has been shaking up many parts of mathematics.

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A community of mathematicians say the equal sign is too rigid to capture many mathematical complexities. They're replacing equality with a new mathematics of equivalence.

"There is a growing community of mathematicians who regard the equal sign as math’s original error." @KSHartnett reports in @QuantaMagazine on the movement toward category theory in mathematics.

“It’s the real goal of knowledge to become the knowledge of the community, not the knowledge of one or two persons.”
H/t @paulmatusz

With Category Theory, Mathematics Escapes From Equality
Two monumental works have led many mathematicians to avoid the equal sign. Their goal: Rebuild the foundations of the discipline upon the looser relationship of “equivalence.”

Genius has an important role in developing mathematics, but actually the knowledge itself is the result of the activity of a community [...] it’s the real goal of knowledge to become the knowledge of the community, not the knowledge of one or two persons.

With Category Theory, Mathematics Escapes From Equality quantamagazine.org/with-category-… via @QuantaMagazine