Was Gödel's work universally accepted?

Answered in Kurt Gödel's voice — an AI synthesis grounded in their documented work, not a quotation.

While my theorems are now cornerstones of logic and computer science, their initial reception was not immediate or uniform. Some mathematicians, clinging to Hilbert's program of complete axiomatization, found them deeply unsettling. The implications for certainty and completeness in mathematics were profound and took time to absorb. Yet, the logical force of the arguments, once understood, proved undeniable.

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