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Babies, sculpture and bowerbirds: A look at structural coupling

I have tried to make the argument, in some of the things I have written, that mathematics experiments with the ways we are able to ‘see.’ But there is a great deal of complexity in what it means ‘to see.’ ‘Seeing’ and ‘reasoning’ are not easily unraveled. An infant’s ‘intuitive physics,’ the subject of recent […]

SEEING, TOUCHING AND DOING MATHEMATICS

Hearing about visual processes, from neuroscientists and artists alike, consistently brings mathematical thoughts to mind for me – like Samir Zeki’s descriptions of how visual images are constructed, or the Impressionist painters’ attention to the sensations in the eye rather than the subject of the painting, and, of course, Poincaré’s suggestion that visual space has […]

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 […]

The Gift of Steve Jobs

Contrary to the by-line, this post is by Bob not Joselle. She wanted me to post an item that’s been of interest lately.

As a reader of Mac and Apple rumor sites over the years, I was surprised the night of October 5th when I went to cnn.com to show Joselle a news item which […]

Archimedes, particle accelerators and being visual

I feel like I was pulled into a little whirlpool of interesting bits of info this morning. I was attracted to the title of David Castelvecchi’s blog: Archimedes and Euclid? Like String Theory versus Freshman Calculus. The blog reports the opening of an exhibition at the Walters Art Museum in Baltimore, showcasing one of three […]

On Wilczek and Symmetry (Inside and Out)

I had the opportunity to attend a talk given by Frank Wilczek, Nobel laureate in physics and author of the book The Lightness of Being. During the Q and A after the talk he was asked if our aesthetic judgment of symmetry could be said to prejudice scientific inquiry. Wilczek first pointed to the rich […]

Bernays, Wittgenstein and Imagination

I started today by taking a look at what might be the latest on what cognitive scientists were saying about mathematics. The broad scope of cognitive science includes the investigation of what Mark Turner calls (in the title of one of his books) “the riddle of human creativity.” When exploring the origins of conceptual systems, […]

Modern Art and Modern Mathematics

I just flipped back and forth between reading about 18th and 19th century developments in mathematics (analysis in particular) and 18th and 19th century transitions in art. The language of art history and the language of math history is very different. It does feel a little like going from color to black and white, or […]

The Biology of Mathematics

The first page of text in Morris Kline’s Mathematics and Western Culture quotes Descartes:

…..I was not surprised that many people, even of talent and scholarship, after glancing at these sciences, have either given them up as being empty and childish or, taking them to be very difficult and intricate, been deterred at the very […]

The Fruits of Plasticity

I like the word plasticity, the idea that something would be capable of being shaped or formed. It’s an optimistic word, pointing to the promise of change, or transformation (another word I like). Today I happened upon some of the work of Nancy Nersessian, Professor of Cognitive Science at the Georgia Institute of Technology. She’s […]