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Vienna Circle thrown into turmoil

Published: 18 Sep. 2025, 00:03

Lee Woo-young

The author is an HCMC distinguished professor at the Korea Institute for Advanced Study.

In August 1930, a pale, slightly built young man entered a cafe in Vienna and quietly joined a table where a group of scholars had gathered. The atmosphere was tense. He spoke with care: “The logical system we dream of is impossible.” His words fell like cold water, silencing the room. Only one middle-aged gentleman rose to applaud him.

The young man was Kurt Gödel, then just 24. The cafe served as the informal meeting place of the Vienna Circle, a group of philosophers and scientists exploring the foundations of knowledge. The gathering was a preparatory session ahead of a conference in Königsberg 10 days later. There, Gödel would present his historic incompleteness theorem, shattering the Circle’s aspirations and throwing the broader academic world into confusion.

Kurt Gödel as a student, estimated to have been photographed around 1925 [WIKIPEDIA]

The Vienna Circle had devoted itself to applying scientific logic to philosophy. Its members argued that statements lacking empirical verification were meaningless. They supported the Hilbert program, then the dominant current in mathematics and philosophy, which claimed that a complete and consistent logical system could be constructed where every statement was either true or false.

Gödel overturned this idea. He demonstrated that in any sufficiently broad formal system, there would always exist propositions that could neither be proved nor disproved within that system. His proof meant the Vienna Circle’s dream — and the Hilbert program itself — could never be fully realized.

The man who applauded Gödel at the cafe was Moritz Schlick, the leader of the Circle. Though Gödel had undercut the philosophical project Schlick had championed, Schlick admired the brilliance of the young mathematician. Schlick would later be killed in 1936 on the steps of the University of Vienna by a Nazi sympathizer.

The murder left Gödel deeply shaken. For the rest of his life, he struggled with nervous exhaustion and paranoia, conditions that contributed to his lonely death in 1978. His work, however, reshaped modern thought, leaving both philosophy and mathematics to confront an unsettling truth: certainty has limits.

Gödel once offered reassurance amid the disarray. “Incompleteness is not chaos,” he insisted. His words suggest that within the limits of knowledge, there is still room for beauty and wonder. The incompleteness he revealed did not end human inquiry but rather showed its depth. The legacy of the Vienna Circle’s disillusionment remains, but so does Gödel’s reminder that imperfection can itself carry meaning.

This article was originally written in Korean and translated by a bilingual reporter with the help of generative AI tools. It was then edited by a native English-speaking editor. All AI-assisted translations are reviewed and refined by our newsroom.