Tag: Halting Probability Omega

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

^{Type
podcast

Author
Robert J. Marks
Date
April 1, 2021

Tagged
Automacoin, bitcoin, Chaitin's Constant, Chaitin's number, Chris Calude, Collatz Conjecture, Elon Musk, G.H. Hardy, Georg Cantor, George Gilder, Goldbach Conjecture, Gottfried Wilhelm Leibniz, Gregory Chaitin, Halting Probability Omega, Hector Zenil, Legendre's Conjecture, Marvin Minsky, Omega, Philosophy, Ray Solomonoff, Stephen Wolfram, Twin Prime Conjecture}

The Chaitin Interview V: Chaitin’s Number

_{Robert J. Marks

April 1, 2021

2}

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 ›

Omega, the letter of a Greek alphabet. Greek numerals, mathematical eight hundred number concept. Abstract, digital, wireframe, low poly mesh, Raster blue neon 3d illustration. Triangle, line dot

^{Type
podcast

Author
Robert J. Marks
Date
March 25, 2021

Tagged
Algorithmic Information Theory, Chaitin's Constant, Christof Koch, computable, Consciousness, Creativity, David Chalmers, Giulio Tononi, Gottfried Wilhelm Leibniz, Gregory Chaitin, Halting Probability Omega, halting problem, Jack Schwartz, knowability, Lovelace test, non-computable, Panpsychism, Paul Erdős, Roger Penrose, Selmer Bringsjord, Stephen Hawking, unknowability}

The Chaitin Interview IV: Knowability and Unknowability

_{Robert J. Marks

March 25, 2021

2}

What does it mean for something to be unknowable? Is creativity non-computable? Do all things have a level of consciousness? Jump into today’s podcast, where Robert J. Marks continues his discussion with Gregory Chaitin about mathematical theory and philosophy. Show Notes 00:23 | Introducing Gregory Chaitin 00:40 | What is unknowability? 06:07 | Does non-computable mean unknowable? 09:43 | A Read More ›