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We suggest a new approach for addressing the problem of establishing an axiomatic foundation for large cardinals. An axiom asserting the existence of a large cardinal can naturally be viewed as a strong Axiom of Infinity. However, it has not been clear on the basis of our knowledge of ω itself, or of generally agreed upon intuitions about the true nature of the mathematical universe, what the r...
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ژورنال
عنوان ژورنال: Nature
سال: 1903
ISSN: 0028-0836,1476-4687
DOI: 10.1038/068105b0