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 […]

Ant arithmetic and prairie dog conversation

One of the points I wanted to make in last week’s post was that studies in animal cognition suggest the presence of mathematics in the behavior of non-human species – the ants, for example, who can be seen to pass on quantitative information to other ants. We don’t see the mathematics they may be doing […]

Riemann, angelfish and ants

I have recently spent some time sorting out the points Arkady Plotnitsky makes about the significance of Riemann’s notion of manifold (or manifoldness) in his paper which appeared in the journal Configurations in 2009. The paper has the title Bernhard Riemann’s Conceptual Mathematics, and the Idea of Space. It is refreshing in that it considers […]