Flipping through some New Scientist issues from this past year, I was reminded of an article in their July 19 issue that brought together a discussion of the brain and mathematics with particular emphasis on the effectiveness of employing the sometimes counter-intuitive notion of the infinity of the real numbers. The content of the article, […]
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A 2011 TED talk in London was brought to my attention recently. The speaker, Neil Burgess from University College London, spoke on the topic, “How your brain tells you where you are.” Burgess investigates the role of the hippocampus in spatial navigation and episodic memory. In the talk he describes the function of what are […] The CogSci 2014 Proceedings have been posted and there are a number of links to interesting papers. Here are some math-related investigations: A neural network model of learning mathematical equivalence The Psychophysics of Algebra Expertise: Mathematics Perceptual Learning Interventions Produce Durable Encoding Changes Two Plus Three is Five: Discovering Efficient Addition Strategies without Metacognition […] Yesterday I gave a talk at a symposium at the 36th annual Cognitive Science Conference. The content of the talk was described this way in our symposium proposal: Mathematics has been the subject of experimental studies in cognitive science that explore the sensory grounding of number and magnitude. But mathematics also provides conceptual schemes that […] As I have investigated all of the things in science and mathematics that get my attention, I have developed an impression of mathematics that, philosophically, seems most consistent with Humberto Maturana’s biology of language. Maturana outlines his perspective in great detail in an essay by the same name that appeared in 1978 in the text […] I will be joining a few colleagues for a symposium at CogSci2014 and I’ve been gathering some notes for my talk. The talk will focus on the impact of embodiment theories on a philosophy of mathematics. As I looked again at some of the things I’ve chosen to highlight in my blogs, I came upon […] Jason Padgett, author of the book Struck by Genius, appeared on CBS This Morning on April 24. On May 5, livescience also did a piece on him and his book. Padgett was assaulted in 2002 and suffered a severe concussion. But, following this head injury, he acquired an extraordinary facility for seeing mathematics. He is, […] Back in September, 1992 Semir Zeki wrote an article for what was then a special issue of Scientific American called Mind and Brain. In it he described what was known about how the brain produces visual images. I have referred back to the article many times because it highlights the philosophical implications of our current […] This is something of a follow-up to my last post. I checked out a series of links related to Max Tegmark in the last few days, having heard about the release of his first book Our Mathematical Universe. But I was also motivated by having observed that the latest conference organized by the Foundational Questions […] An article in the December issue of Scientific American gave me a new insect behavior to ponder and one that might reveal, in the insect’s biology, a distant cousin to the mathematical idea we call mapping. It seems that there are insects that have a talent for recognizing faces. Their talent has much in common […] |
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