Irreducibility And Computational Equivalence: 10 Years After Wolfram's A New Kind of Science (emergence, Complexity And Co... Irreducibility And Computational Equivalence: 10 Years After Wolfram's

It is clear that computation is playing an increasingly prominent role in the development of mathematics, as well as in the natural and social sciences. The work of Stephen Wolfram over the last several decades has been a salient part in this phenomenon helping founding the field of Complex Systems, with many of his constructs and ideas incorporated in his book A New Kind of Science (ANKS) becoming part of the scientific discourse and general academic knowledge–from the now established Elementary Cellular Automata to the unconventional concept of mining the Computational Universe, from today's widespread Wolfram's Behavioural Classification to his principles of Irreducibility and Computational Equivalence.

It is clear that computation is playing an increasingly prominent role in the development of mathematics, as well as in the natural and social sciences.

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This long-awaited work from one of the world's most respected scientists presents a series of dramatic discoveries never before made public. Starting from a collection of simple computer experiments - illustrated in the book by striking computer graphics - Wolfram shows how their unexpected results force a whole new way of looking at the operation of our universe.

Challenging the traditional mathematical model of scientific description, a scientist proposes a new dynamic computational approach that utilizes simple codes to generate patterns of ultimate complexity.