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  Mathematics Doing Mathematics Differently [long_description] Spattering drops of ink, Leibniz intuited that a theory as complex as the data it is supposed to explain is useless. Gregory Chaitin finds the same thing using Algorithmic Information Theory, which turns both theory and data into digital bits. Comparisons of complexity become easy.

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  Mathematics An Algorithmic God [long_description] Computer models can show us that mathematics has infinite conceptual complexity, but any mathematical theory is finite. What about biology? Can we think of DNA as a programming language and evolution as programming without a programmer? Gregory Chaitin proposes a new research program, applying software models to biology.

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  Mathematics The Perfect Language [long_description] Mathematicians still believe in absolute truth and formal proof, though Gödel and Turing showed that no axiomatic theory includes all mathematical truths. Algorithmic information theory confirms this. Gregory Chaitin explores incompleteness and uncomputability, and reflects on his work in AIT.

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