Mathematician Sergiu Klainerman on proving black hole stability and the nature of mathematical truth
By
Steve Nadis
3d ago· 22 min readenInsight
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Summary
This article profiles mathematician Sergiu Klainerman, who spent years proving the mathematical stability of black holes — demonstrating that they won't simply fly apart. The piece delves into the philosophy of mathematics, exploring the debate between mathematical Platonism (the view that mathematical structures exist independently of human thought as the substrate of reality) and the opposing view that mathematics is a human invention imposed on the world. Klainerman's work on black hole equations exemplifies this philosophical divide, as the equations governing black holes were mathematically true before black holes were physically discovered.
Key quotes
· 3 pulledThe equations that govern black holes were true before there were black holes.
On one side are those who hold that mathematical structures, including well-established principles and basic geometric shapes like the tetrahedron, exist independently of human thought – not as a language we invented to describe reality, but rather as the substrate of reality itself.
On the other side of the debate are those who argue that mathematics is the product of human labours, imposed on a world that...
Sergiu Klainerman spent years proving that black holes won’t fly apart; and arguing that maths is not a human invention
