James Wiles

James Wiles is a seasoned professional with diverse experience across technology, finance, and consulting. Currently serving as the Founding Director at The Wolfram Institute, he coordinates initiatives to advance open research in physics, mathematics, computation, and machine intelligence , bridging interdisciplinary efforts to drive innovation and collaboration. Passionate about promoting the computational paradigm to improve our ability to think foundationally.

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Science funding for fundamental research
Machine Intelligence
Philosophy
Physics
Biology
Mathematics
Computer Science

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Kolmogorov Complexity vs. Computational Irreducibility: Understanding the Distinction

James K. Wiles

Kolmogorov complexity and computational irreducibility describe two kinds of limits on simplification, but they apply in different ways. Kolmogorov complexity measures the shortest possible description of an object, such as a string. Computational irreducibility refers to processes that cannot be predicted or accelerated. This paper introduces each concept, explains their theoretical distinction, and illustrates the difference using simple examples.

James Wiles

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