Categories

More on category theory and the brain

I’ve referred to category theory on more than one occasion (particularly with respect to physicist Bob Coecke’s graphical language). Not too long ago, Ronald Brown, at Bangor University, brought my attention to the work that he and colleagues have been doing to investigate the kind of mathematics that could be used to model the complexity […]

My article in +Plus Magazine

My piece on Riemann and cognition was published this week in +Plus. Here’s the link.

Plants doing arithmetic

A preview of a paper to be published in the journal eLife was provided by phys.org on June 23. Plants do sums to get through the night researchers show, was the title given their report.

New research shows that to prevent starvation at night, plants perform accurate arithmetic division. The calculation allows them to use […]

Finding ourselves between physics and biology

The Institute of Physics (IOP) Biological Physics Group has a conference coming up June 24 to June 26 in Brighton, UK. The title of the conference is what first got my attention: Physics of Emergent Behavior/From single cells to groups of individuals.

The following text appears on the conference home page to introduce their interest […]

Quantum mechanical biology

In my guest blog for Scientific American, I wrote about the work of Bob Coecke who has designed a graphical mathematics, based on a branch of mathematics called category theory. He uses this diagrammatic calculus to describe and investigate quantum mechanical processes. Coecke’s work has found application in biology and linguistics, suggesting some interesting links […]

Quantum Mechanical Words and Mathematical Organisms

My post appeared on the Scientific American Guest Blog this morning. Here’s the link:

Quantum Mechanical Words and Mathematical Organisms

Pigeons, rats, monkeys and real numbers

I’d like today to stay on the topic of mathematics from the cognitive science perspective, and in particular, to make available another set of interesting studies summarized by C. R. Gallistel, Rochel Gelman and Sara Cordes. The studies are described in their contribution to the book Evolution and Culture (edited by Stephen C. Levinson and […]

Mental Magnitudes

I am increasingly fascinated by the mathematics of fundamental cognitive processes – like creatures finding their way to and from significant locations, or foraging for food, or foraging with the eyes, or comprehending the duration of an event. I’m excited by the fact that there are cognitive neuroscientists that have become focused on the architecture […]

The geometry of hallucinations

A recent blog from Jennifer Ouellette (from the Scientific American Blog Network) brought my attention once again to how mathematics is related to the structure-building functions of the brain. As I followed up on some of the references in her post, I found myself on a little journey through hallucinatory experiences that I really enjoyed.

[…]

Lines on ochre and the roots of creativity

A nice article, focused on the origins of creativity, appears in the March 13 issue of Scientific American. Author, Heather Pringle, surveys research that seems to indicate that the human talent for innovation actually emerged over hundreds of thousands of years ago, before homo sapiens left Africa. This is contrary to the view held previously […]