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Computers, Paradoxes and the Foundations of Mathematics



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Abstract:

Some of the great intellects of the 20th century attempted to set mathematics on a sound logical footing, only to discover the inherent limitations of formal axiomatic systems. The author gives a sweeping description of this evolution of thought and summarizes his own contribution to the modern understanding of mathematics, which, like quantum physics, contains elements of randomness at the most fundamental level.


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