
Physics theoretician Nima ArkaniHamed, 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 […]
In my last post I tried to argue that Humberto Maturana’s biology of language might have something to say about the biological nature of mathematics. This biology of language that Maturana proposes is understood in the context of autopoiesis (the continuous selfcreation of any living system) that is his fundamental definition of life. I […]
I have long been interested in the notion of autopoiesis introduced by Humberto Maturana and Francisco Varela in 1972. In short, autopoiesis is the model of living systems that sees every living system (from single cells to multicellular organisms) as individual unities whose living is the creation of themselves. Through the interaction of their […]
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 […]
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 awardwinning mathematician Michael Atiyah that he has proved the long standing Riemann hypothesis, one […]
We all generally know the meaning of abstraction. We all have some opinion, for example, about the value of abstract painting. And I’ve heard from many that mathematics is too abstract to be understood or even interesting. (But I must admit, it is exactly this about mathematics that keeps me so captivated). An abstraction is […]
Earlier this month, Nature reported on Artificial Intelligence (AI) research, where deep learning networks (an AI strategy) spontaneously generated patterns of computations that bore a striking resemblance to the activity generated by our own grey matter – namely by the neurons called grid cells in the mammalian brain. The patterned firing of grid cells enable […]
My thoughts started jumping around today, trying to land on what it was that I found so fascinating about a recent article in Quanta Magazine. This is one of the statements that got me going:
…Numbers emerging from one kind of geometric world matched exactly with very different kinds of numbers from a very different […]
A recent article in Quanta Magazine anticipates the publication of the 6th edition of Proofs from The Book, collected by Martin Aigner and Günter Ziegler. The original volume was inspired by the wellknown and prolific mathematician Paul Erdős, who traveled the world, participating in countless collaborative efforts, and who would say of proofs that he […]
My attention was just recently brought to the work of philosopher and poet Emily Grosholz. It’s rare to find an individual so steeped in the ways of poetry and mathematics, and the desire to explore how and what they express about us. What I would like to consider here, in this particular post, is really […]


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