Hilbert Program

The Hilbert Program was an initiative by mathematician David Hilbert aimed at establishing a solid foundation for all of mathematics. He wanted to prove that every mathematical truth could be derived using a complete and consistent set of logical rules. Essentially, it sought to formalize mathematics so that it could be trusted to be free of contradictions and fully describable through logical systems. While later discoveries showed this goal to be impossible, the program significantly advanced our understanding of logic, formal systems, and the limits of mathematical knowledge.