Mind Matters Natural and Artificial Intelligence News and Analysis

TagHector Zenil

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Abstract virtual binary code illustration on blurry modern office building background. Big data and coding concept. Multiexposure

The Chaitin Interview V: Chaitin’s Number

Listen in as Robert J. Marks picks the mind of Professor Gregory Chaitin about Chaitin’s number – a number that has been called “mystical and magical”. How does this number work? Why do some people call it “Chaitin’s constant”? What is the usefulness of philosophizing in mathematics? Show Notes 00:27 | Introducing Gregory Chaitin and Chaitin’s number 01:32 | Chaitin’s…

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Real Php code developing screen. Programing workflow abstract algorithm concept. Lines of Php code visible under magnifying lens.

How did Ray Solomonoff Kickstart Algorithmic Information Theory?

He started off the long pursuit of the shortest effective string of information that describes an object

In last week’s podcast,, “The Chaitin Interview II: Defining Randomness,” Walter Bradley Center director Robert J. Marks interviewed mathematician and computer scientist Gregory Chaitin on how best to describe true randomness but also on what he recalls of Ray Solomonoff (1926–2009), described in his obit as the “Founding Father of algorithmic information theory.” https://episodes.castos.com/mindmatters/Mind-Matters-125-Gregory-Chaitin.mp3 This portion begins at 10:30 min. A partial transcript, Show Notes, and Additional Resources follow. Gregory Chaitin (pictured): Ray Solomonoff was interested in prediction but I was more interested in looking at a given string of bits and asking, does it have structure or not, and the incompleteness results regarding this question. For example, most strings of bits have no structure, according to this definition. They…