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American [[mathematics|mathematician]], noted for showing that the negation of the [[continuum hypothesis]] was consistent with the standard axioms of [[Set Theory|set theory]]. In conjunction with the earlier work of [[Kurt Goedel|Goedel]], this showed that the continuum hypothesis could be neither proved nor disproved from these axioms. This result is possibly the most famous non-trivial example illustrating [[Goedels Incompleteness Theorem]].