Mathematician, Foundation Team

remote

via Ashby

About this role

WHY "HILBERT" The company takes its name from Hilbert's program. A century ago, mathematics went through its foundational crisis: paradoxes in set theory had undermined confidence in the ground the discipline stood on. David Hilbert's response was to rebuild it on explicit axioms and formal proof, so every claim could be traced back to its foundations. Gödel later showed the program's full ambition was out of reach. Any sufficiently rich formal system contains true statements it cannot prove. The program still reshaped mathematics; proof theory, model theory, and modern logic all descend from it. We think growth is at a similar moment. The field runs on intuition, folklore, and case studies. We are building its foundations: definitions, axioms, and proofs where proofs exist.…

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1

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2

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3

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4

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5

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