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Overstepping the limits of conscious judgment

I’ve thought about mathematics as a reflection of hard-wired cognitive processes, or even as our own consciously rendered image of them. In this light, mathematics’ conceptual weaves look particularly organic, even fleshy. I’ve pursued this perspective because I find that it helps me see two things better: mathematics itself and what qualifies as physical. What […]

Ants, Instincts and Vectors

I happened upon an article in Plus about the vector analysis that ants seem to be using to find their way home. Studies exploring insect navigation tools are relevant, not only to building robot navigation tools, but also to understanding the extent to which cognitive structures exist in other living things (and, perhaps, how they […]

Bayesian Models from the Eye to the Cosmos

My last post caused me to survey some things related to Bayesian statistics as they relate to mathematics and cognition. First, I want to say that despite the fact that I have been looking more closely at 19th century developments in mathematics, I didn’t know until today that Laplace, in 1814, described a system of […]

Mirror Images

I’m a little pressed for time this week so I thought I would try to provide some fun links.

Steven Strogatz, mathematician and writer, speaks on a radiolab broadcast about an early insight. It was in a high school math class where he says he was being taught how to use graph paper. The teacher […]