I am increasingly fascinated by the mathematics of fundamental cognitive processes – like creatures finding their way to and from significant locations, or foraging for food, or foraging with the eyes, or comprehending the duration of an event. I’m excited by the fact that there are cognitive neuroscientists that have become focused on the architecture […]
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A recent blog from Jennifer Ouellette (from the Scientific American Blog Network) brought my attention once again to how mathematics is related to the structure-building functions of the brain. As I followed up on some of the references in her post, I found myself on a little journey through hallucinatory experiences that I really enjoyed. […] A nice article, focused on the origins of creativity, appears in the March 13 issue of Scientific American. Author, Heather Pringle, surveys research that seems to indicate that the human talent for innovation actually emerged over hundreds of thousands of years ago, before homo sapiens left Africa. This is contrary to the view held previously […] New Scientist did an article in their February 6 issue called Mind Maths: Five laws that rule the brain. As is usually the case, the article’s allure is the suggestion that new research may hold the promise of capturing the brain’s complexity in just a few mathematical models. And, as is usually the case, […] I was completely captivated by something David Deutsch said in a TED talk in 2005. This particular observation was not the theme of his talk. But I found the language he chose to describe the working model of the universe (that physics and mathematics have provided) to be loaded with implications about human knowledge, even […] 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 […] Current research into the neuroscience of our visual system tells us that what we see is constructed through the coordinated effect of cells sensitive to particular aspects of a visual scene. Attributes such as motion, form and color are processed in individually specialized areas, along paths that lead to the primary visual cortex, creating what […] In a blog back in January, I referenced a talk given by David Deutsch in which he made the argument that, while empiricism has been the basis of science, empiricism alone is inadequate because scientific theories explain the seen in terms of the unseen. What we see, in all these cases, bears no resemblance to […] |
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