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I was looking today, once again, at Gregory Chaitin’s most recent work which is described in his book Proving Darwin. I realized that much of what has been written about this work (even what I have written) doesn’t give adequate attention to the crucial shifts in perspective that metabiology proposes. Chaitin says concisely: According to […] I’m not sure why I hadn’t been aware of it before today, but documentary film maker Ekaterina Eremenko has made the film Colors of Math. (Its Russian title is Sensual Mathematics) I was happy to see that the work was supported and partly funded by my alma mater, The Courant Institute of Mathematical Sciences at […] Things happen in nature. Cells socialize and build structure, organisms grow, and move, and interact, and then more things grow – like music, language, and mathematics. Generally, talk about evolution is very pragmatic. Cell organization, the shaping of roots, leaves, nourishment mechanisms, reproductive drives, are all usually understood as fairly specific purposeful processes. Perhaps by […] Sean Carroll, Theoretical Physicist at the California Institute of Technology has recently published a new book. Entitled The Particle at the End of the Universe: How the Higgs Boson Leads us to the Edge of a New World it discusses the importance of the Higgs boson as well as the significance of the extraordinary work […] I have always been intrigued by the extraordinary insights of the self-taught mathematician Srinivasa Ramanujan. He worked in almost complete isolation from the mathematical community, and independently rediscovered many existing results while also making his own unique contributions. He didn’t even share notation with the rest of the community, somehow finding his way without being […] One of the points I wanted to make in last week’s post was that studies in animal cognition suggest the presence of mathematics in the behavior of non-human species – the ants, for example, who can be seen to pass on quantitative information to other ants. We don’t see the mathematics they may be doing […] I have recently spent some time sorting out the points Arkady Plotnitsky makes about the significance of Riemann’s notion of manifold (or manifoldness) in his paper which appeared in the journal Configurations in 2009. The paper has the title Bernhard Riemann’s Conceptual Mathematics, and the Idea of Space. It is refreshing in that it considers […] Having heard the clip from Spielberg’s latest film, Lincoln, where Lincoln describes Euclid’s first common notion, I tried to investigate the extent to which the connection between Lincoln and mathematics has been pursued, and I was disappointed. It’s difficult for anyone to speak about mathematics without sifting out the structure, reason and proof that characterizes […] |
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