Step by step, our ideas about the nature of our reality have moved far from the sensory constructions of space and time that define our immediate experience. And once fully outside the knowledge brought with sensation, we lose our footing. It’s difficult to manage ‘what can’t be sensed.’ But our conceptual difficulties with quantum mechanics […]
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I am intrigued by the current debate in physics concerning the significance of the wave function in quantum theory. The nature of the debate opens the door to a host of philosophical issues surrounding both physics and mathematics. In an article appearing in the June issue of Scientific American, I was introduced to a relatively […] I was expecting to write about a paper I found recently by Oran Magal, a post doc at McGill University, On the mathematical nature of logic. I was attracted to the paper because the title was followed by the phrase Featuring P. Bernays and K. Gödel
I’m often intrigued […] I found a short paper today by Mark Andrews, Stefan Frank and Gabriella Vigliocco focused on reconciling two trends in the study of meaning in cognitive science. These two trends are represented by embodied cognition theories (which treat meaning as a simulation of perceptual and motor states) and by computational or distributional accounts of meaning […] Given the arrival of the summer solstice and this post on the EarthSky website, I decided to write a little bit about what prehistoric monuments (like Stonehenge) suggest to me about some of the roots of mathematics. With a photograph to support the claim, the EarthSky post tells us: If you stood inside the Stonehenge […] Bob Coecke has received a grant of over $111,000 from the Foundational Questions Institute to continue his work on a graphical language to describe quantum mechanical processes. The work is based on category theory, a branch of mathematics that focuses less on the mathematical objects themselves, and more on the maps that transform them. The […] I listened to three short talks today and found that they had something nice in common – they each show us how sensory experience (often vision) gives rise to mathematics that provides access to what cannot be seen, and clarifies what is seen. The first of these talks was called Symmetry, reality’s riddle presented by […] 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 […] I found myself tied a bit to the theme of last week’s blog when my attention was brought to a very recent article in PLoS Biology called Darwin in Mind: New Opportunities for Evolutionary Psychology. In it a team of biologists, psychologists and philosophers from the Netherlands, the United States and Scotland, suggest that the […] 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 […] |
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