Mind Matters Natural and Artificial Intelligence News and Analysis

TagWilliam Sealy Gosset

black-mathematics-board-with-formulas-stockpack-adobe-stock.jpg
black mathematics board with formulas

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)…

journal-papers.jpg
Stack of papers isolated on white background

Einstein’s Single Journal Paper Ended WWII

Does that mean that a thousand papers could multiply the effect? Think again.

It was Albert Einstein’s work on matter and energy, captured in e = mc2 that enabled the atomic bomb that ended World War II. Modern anonymous peer review today works well except that it is muddied with bias, incompetence, and ignorance. The review processes of Einstein’s day were better. A renowned expert’s approval was sufficient for a paper’s publication.1 The current system has only been in force since the end of World War II when pressure was applied to professors to write papers. The mantra “publish or perish” looks to have been coined soon after the war in 1951 by Marshall “The Medium is the Message” McLuhan.2 Earlier, professors were often discouraged from publishing. Karl Popper, one of the most…