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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.

What can’t be sensed

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 […]

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 […]

What’s the tool, what’s the reality, what are we doing?

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 […]

Multiverse, busses and emergent space-time

There was once what many call a ‘foundational crisis in mathematics’ – disputes among mathematicians about both their ideas and their methods. But while one needn’t now address the relationship between mathematics and reality in order to pursue a successful career in mathematics, the conceptual and experimental puzzles of modern physics likely reflect a similar […]

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

Juggling, interviews and grant opportunities

My time this week is again taken up with work on a few writing projects that I’m trying to wrap up (not to mention end of the term grading). But I should be back on track with my regular blogs next week.

In the meantime, an article on scientificamerican.com caught my attention, being about the […]

A brief note and a little from Deutsch

I’m short on time today and working on a guest blog which I hope to be able to provide a link to shortly. But I did begin exploring a website that has short video interviews with some of my favorite thinkers. I found among a list of participants on the website Closer To Truth, Gregory […]

Structure, structure and more structure

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 […]