I began a post in 2013 by recognizing something that David Deutsch said in a TED talk in 2005. I have referred back to it many times since, and here I will do it again. But this time I would like to present it more completely. It’s a beautiful articulation of something that’s just […]
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I’ve spent a number of years using this blog to highlight the way that mathematical things seem to operate in very natural occurrences like the way our brains work, the way ants navigate, the way plants calculate an efficient consumption rate of their stored starch, the collective behavior of insect colonies, flocks, schools, and […] I have spent quite a bit of time, using much of the information provided in these posts, to argue that mathematics is in a unique position to show us that our thoughts (the silent language in our heads) that appear to be produced in the privacy of our imagination, have some independent reality. By […] I came upon an MIT News article about the work of Ila Fiete who studies brain functions, like the neurological processes that govern navigational reasoning about our surroundings. Fiete uses computational and mathematical tools. Her interest in biology, and her respect for the “aesthetic to thinking mathematically,” (as she put it) led her to […] A New Scientist article began with a now familiar refrain: They call it the “unreasonable effectiveness of mathematics.” Physicist Eugene Wigner coined the phrase in the 1960s to encapsulate the curious fact that merely by manipulating numbers we can describe and predict all manner of natural phenomena with astonishing clarity… The article by Michael […] Category theory in mathematics is a relatively new and provocative branch of mathematics that has found many faithful followers and some critics. By relatively new I mean that category theory notions were first introduced only as far back as 1945. Criticism of the theory is often related to the level of abstraction it requires. […] |
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