Hilbert's Program was an ambitious project initiated by mathematician David Hilbert in the early 20th century, aiming to establish a solid foundation for all of mathematics through formalization and proof. The main goal was to demonstrate that all mathematical truths could be proven using a finite set of axioms and rules of inference, ensuring both consistency and completeness in mathematics. This program sought to show that mathematics is both rigorous and secure from contradictions, which laid the groundwork for discussions around formal systems and the limits of provability.
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