Mathematical Universes

Physics theoretician Nima Arkani-Hamed, at the Institute for Advanced Study at Princeton, has recently suggested that maybe space and time are not what we think they are. In a recent interview with Natalie Wolchover, for a New Yorker article, he expressed renewed interest in a point made by Richard Feynman in 1964. [1] Feynman […]

Journeying in and out

When ecently reminded of the images in Catholic texts and prayers, I considered, again, my hunch that mathematics could somehow help connect unrelated aspects our experience, in particular counterintuitive religious images and familiar sensory experience. I am not suggesting that mathematics would explain these images, but more that it could be used to encourage, perhaps […]

Prejudice in an abstract world

I was struck today by the title of an article in Science News that read, Before his early death, Riemann freed geometry from Euclidean prejudices. The piece, by science writer Tom Siegfried, was no doubt inspired by the recent claim from award-winning mathematician Michael Atiyah that he has proved the long standing Riemann hypothesis, one […]

Multiple personality disorder – a glimpse into the cosmos?

A recent post on got my attention – no surprise given its title, Could Multiple Personality Disorder Explain Life, the Universe, and Everything. It was coauthored by three individuals: computer scientist Bernardo Kastrup, Psychotherapist Adam Crabtree, and cognitive scientist Edward F. Kelly. The article’s major source is a paper written by Kastrup, published this […]

The Mind of Arithmetic

I like finding what I believe are productive generalizations, or some sameness across apparently diverse events. Often the subject of Mathematics Rising are things like the observation that we seem to search for words in patterns that resemble the trajectories of a rat foraging for food, or the possibility that natural language can be described […]

Testable thoughts?

Quanta magazine has a piece on a recent conference in Munich where scientists and philosophers discussed the history and future of scientific inquiry. The meeting seems to have been mostly motivated by two things. The first of these is found in the diminishing prospects for physics experiments – energy levels that can’t be reached by […]

Plato, Gödel and quantum mechanics

I’ve been reading Rebecca Goldstein’s Incompleteness: The Proof and Paradox of Kurt Gödel which, together with my finding David Mumford’s Why I am a Platonist, has kept me a bit more preoccupied, of late, with Platonism. This is not an entirely new preoccupation. I remember one of my early philosophy teacher’s periodically blurting out, “See, […]

Plato, graphs, vision and another anchor

I’m not sure what led me to David Mumford’s Why I am a Platonist, which appeared in a 2008 issue of the European Mathematical Society (EMS) Newsletter, but I’m happy I found it. David Mumford is currently Professor Emeritus at Brown and Harvard Universities. The EMS piece is a clear and straightforward exposition of […]

“…an anchor in the cosmic swirl.”

Looking through some blog sites that I once frequented (but have recently neglected) I saw that John Horgan’s Cross Check had a piece on George Johnson’s book Fire in the Mind: Science, Faith, and the Search for Order. This quickly caught my attention because Horgan and Johnson figured prominently in my mind in the late […]

Computations can be very natural

A recent post on Mind Hacks challenged the perspective outlined in a NY Times op-ed by psychologist Gary Marcus with the title Face It, Your Brain Is a Computer. The title of Marcus’ piece may be misleading. The brain/computer analogy that he proposes is more a strategy than a theory. But the rejection of brain/computer […]