I just saw The Guardian’s Science Weekly podcast for November 11, 2013 which included a discussion with mathematician Edward Frenkel about his new book Love & Math: The Heart of Hidden Reality. I then listened to a Huffington Live segment from January 7 where Max Tegmark and Brian Greene talked about the link between mathematics […]
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I’m planning to post something new this week, but I would also like to share the link to my guest blog for Scientific American that was posted last week. The title of the piece is: To What Extent Do We See With Mathematics? Hope you enjoy it. Much of the research done in cognitive science is designed to study the development of concepts – internal representations that define the idea-driven nature of modern human experience. And, in our experience, it’s difficult to mend the rift that’s been created between what we call thought and what we call reality. But a number of […] The Atlantic Monthly just did an interesting piece on Douglas Hofstadter, Pulitzer Prize-winning author of Gödel, Bach and Escher. Hofstadter’s 1979 book investigates the nature of human thought processes by looking at common themes in the work of the mathematician Gödel, the musician Bach and the artist Escher. In particular, it addresses the question of […] New Scientist published an article by Amanda Gefter in their August 15 issue which describes how and why the notion of infinity has come into question again. The distinction between a potential infinity (the process of something happening without end), and an actual infinity (represented, for example, by the set of real numbers) was disputed […] Understanding the neural functions that contribute to the birth of mathematical structure and meaning is an active subject of research in cognitive science. A significant amount of work has been done to identify an innate ability we share with other creatures, namely the ability to perceive quantity. This is sometimes called our approximate number sense. […] The most recent issue of New Scientist has an article called Thoughts: The inside story. In it, philosopher Tim Bayne begins with a survey of all of the things we mean by the word ‘thought’ – the mental activity that accompanies perceptions, problem solving, the integration of various perceptions, the uncontrolled associative train of connected […] One of the reasons that the nature of mathematics has been such an enigma, is that we associate it with thought, and we tend to distinguish thought from the physical world. We do find mathematics in natural structures – some of these beautifully represented in a film you may have seen called Nature by the […] As I read more discussions of the relationship between mathematics and physics, I find that what mathematics might reveal about how physical science progresses becomes an increasingly interesting question. I recently found the text of a lecture given by Paul Dirac in 1939. It was reproduced on the occasion of the Dirac Centennial Celebration organized […] In the August issue of Scientific American, Meinard Kuhlmann addresses, yet again, the conceptual difficulties inherent in the interpretations of experimental data of modern physics. …the particle interpretation of quantum physics, as well as the field interpretation, stretches our conventional notions of “particle” and “field” to such an extent that ever more people think the […] |
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