FEATURE ARTICLE
Computers, Paradoxes and the Foundations of Mathematics
Some great thinkers of the 20th century have shown that even in the austere world of mathematics, incompleteness and randomness are rife
Gregory Chaitin
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.
Go to Article