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Why Don’t We See Many Great Books on Math Any More?

Decades ago, Gregory Chaitin reminds us, mathematicians were not forced by the rules of the academic establishment to keep producing papers, so they could write key books.

In our most recent podcast, “The Chaitin Interview III: The Changing Landscape for Mathematics,” Walter Bradley Center director Robert J. Marks interviewed mathematician and computer scientist Gregory Chaitin on many things mathematical, including whether math is invented or discovered. This time out, Chaitin talks about why he thinks great books on math, advancing new theorems, aren’t written much any more: https://episodes.castos.com/mindmatters/Mind-Matters-126-Gregory-Chaitin.mp3 This portion begins at 02:49 min. A partial transcript, Show Notes, and Additional Resources follow. Robert J. Marks: You don’t hear the word “scholarship” very much anymore in academia. Gregory Chaitin: And people don’t write books. In the past, some wonderful mathematicians like G. H. Hardy (1877–1947, pictured in 1927) would write wonderful books like A Mathematician’s Apology (1940)…

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Red and Blue Spiral Fractal Background Image, Illustration - Vortex repeating spiral pattern, Symmetrical repeating geometric patterns. Abstract background

Mathematics: Did We Invent It Or Did We Merely Discover It?

What does it say about our universe if the deeper mathematics has always been there for us to find, if we can?

In this week’s podcast, “The Chaitin Interview III: The Changing Landscape for Mathematics,” Walter Bradley Center director Robert J. Marks interviewed mathematician and computer scientist Gregory Chaitin (pictured) on how math presents us with a challenging philosophical question: Does math image deep truth about our universe? Or do we just make up these math rules in our own minds to help us understand nature? https://episodes.castos.com/mindmatters/Mind-Matters-126-Gregory-Chaitin.mp3 This portion begins at 00:39 min. A partial transcript, Show Notes, and Additional Resources follow. Gregory Chaitin: Deep philosophical questions have many answers, sometimes contradictory answers even, that different people believe in. Some mathematics, I think, is definitely invented, not discovered. That tends to be trivial mathematics — papers that fill in much-needed gaps because…

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The Texas Sharpshooter Fallacies

Gary Smith discusses his book, the AI Delusion, and how the pressure to publish or perish corrupts research

Bob Marks and Gary Smith offer a range of startling examples of how the pressure to publish drives a lack of rigor — and sometimes honesty — in analyzing and presenting experimental data. The result is a never ending parade of headlines in health and medicine that are unwarranted and often reversed or impossible to replicate. Shownotes 01:00 | Data…