Mind Matters Natural and Artificial Intelligence News and Analysis

TagRay Solomonoff

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Abstract Technology Background. Web Developer. Computer Code. Programming. Coding. Hacker concept. Green and blue neon figures fall from top to bottom.

Randomness, Information Theory, and the Unknowable

In the 1960s, mathematician and computer scientist Gregory Chaitin published a landmark paper in the field of algorithmic information theory in the Journal of the ACM – and he was only a teenager. Since then he’s explored mathematics, computer science, and even gotten a mathematical constant named after him. Robert J. Marks leads the discussion with Professor Gregory Chaitin on Read More ›

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a hand rolling dice

Randomness is Not a Scientific Explanation

We can never know if anything is truly random

It is common in the sciences to claim aspects of our universe are random: In evolution, mutations are random. In quantum physics, the wave collapse is random. In biology, much of the genome is random. In business theory, organizational ecologists state new ideas are random. There is a general idea that everything new has its origins in randomness. This is because within our current philosophy of science, the two fundamental causes in our universe boil down to randomness and necessity. Since necessity never creates anything new, then by process of elimination the source of newness must be randomness. Similar to how the ancient Greeks believed the universe originated from chaos. Here’s the irony of the view that whatever is unique Read More ›

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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 Read More ›

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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 Read More ›