Proceedings of the National Academy of Sciences of the United States of America, Vol. 119, No. 9 (March 1, 2022), pp. 1-5 (5 pages) We provide axioms that guarantee a category is equivalent to that of ...
The necessary starting point for the scientific endeavor is the axiom—an assertion that, for sake of argument, is simply accepted as true. Parallel lines, for example, are defined by an axiom (Hilbert ...
The original formed the first part of "Festschrift zur feier der enthüllung des Gauss-Weber-denkmals in Göttingen, Grundlagen der geometrie," with the additions made by the author in the French ...
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