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Physics and the birds or Starling flight and critical mass

Mathematics is usually thought of as a tool that quantifies things in our lives and there is good reason for this. Early in our experience, it is presented to us as a counting and measuring device, not as a way to see something. But this characterization of mathematics is misleading. Quantification alone would not get […]

Nature’s Culture

In another blogging heads interview (and in a related blog), John Horgan explores with David Rothenberg the significance of beauty in scientific thinking. Rothenberg’s new book Survival of the Beautiful, is the subject of much of their discussion. While the conversation centers on questions of beauty (how biology does or does not take it into […]

Fractals, vision, and golf

I came across an article on vision at Physicsworld.com that is concerned chiefly with how digital imaging technology may and may not be able to provide a fix for damaged retinas. While digital cameras can better mimic the human eye, the gaze of the camera, unlike the eye, is static and uniform.

As sensors in […]

Loops, pain and Gödel

A recent Radiolab episode brought some interesting things together by exploring loops, repetitions, and self-referencing phenomena.

Among other things, they told the story of Melanie Thernstrom (The Pain Chronicles) who, in trying to manage her pain, investigated the self-inflicted pain of religious rites. She later did some work with neuroscientist Sean Mackey. Mackey had seen […]

Knotted DNA

I recently read the announcement of a National Science Foundation Career Award given to Mariel Vazquez (Associate Professor at San Francisco State University) for the work she does in mathematics and biology. Vazquez has been involved for some time in the application of knot theory to the analysis of DNA.

Knot Theory is one of […]

Time, memory, illusions and mathematics

In a recent post on the Scientific American blog network, George Musser reported on talks given by neuroscientists at a conference, organized by the Foundational Questions Institute on how the brain works to construct our sense of past, present and future.

Musser’s post made some observations that were familiar to me – like the idea […]

Embodied Minds, Surfing and Mathematics

Mark Turner, cognitive scientist at Case Western Reserve, wrote an article that was recently posted on the Social Science Research Network entitled The Embodied Mind and the Origins of Human Culture. He makes the point that our awareness is divorced from “Almost all the heavy lifting in human thought and action,” which is done “in […]

Grid cells and time cells in rats, continuity, and the monkey’s mind

I have often said that I get particular pleasure from mathematics that defies common sense expectations. A simple example would be the observation that two things can be the same size even though one of them is contained in the other – like the set of natural numbers and the set of positive even integers. […]

Number Sense: What we can’t do? or What we can see

A number of websites have reported on a recent study, that correlated innate number sense with mathematical ability. A concise report of the study can be found in the Johns Hopkins University Gazette, published by the institution where the study was done. The study’s results confirm a correlation between the strength of ones number sense […]

Slow Hunches and Our Spotty Awareness

I recently listened to a radiolab podcast (from this past November!) that featured two authors: Steven Johnson (author of Where Good Ideas Come From) and Kevin Kelly (author of What Technology Wants). The thrust of the argument, that both authors defended, was that the things we make (from tools to gadgets to computers) are an […]