On the origins of Cantor's paradox: what Hilbert left unsaid at the 1900 ICM in Paris (Q6638655)

The paper tells us about the background and implications of Cantor's paradox and its relationship to Hilbert's foundational work. The author describes how the first two of the Hilbert's famous 23 problems presented at the 1900 International Congress of Mathematicians were influenced by Cantor's ideas on transfinite numbers and set theory. The paper outlines the conversations and developments that shaped Hilbert's understanding of these topics and the formulating of the problems.\N\NThe reader learns about the interactions between Cantor and Hilbert, showing the challenges and misunderstandings they navigated regarding set-theoretic paradoxes. By linking these historical events to the broader questions of mathematical logic, the paper gives a clear picture of how foundational debates evolved during this period. Anyone interested in the history of mathematical ideas and the relationships between prominent figures will find this paper both informative and interesting.