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 […]
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I’ve thought that one of the reasons it’s difficult to resolve questions about the nature of mathematical reality is that we’re not exactly clear on what it means to ‘perceive’ something. Trying to establish whether or not even the data of our senses is somehow independently ‘real,’ has fueled centuries of philosophical debate. I found […] The hoopla about Hawking’s new book made it frustratingly clear that there’s a real impasse in the centuries-old debate over whether science, and its intrinsic rationality, can or should definitively dispute religious ideas. The impasse is, I believe, a consequence of our not seeing the elephant in the room, namely ourselves. The debate proceeds, as […] I often get stuck in the gap we rarely notice between the word and what the word is meant to signify. Do we really understand what word and symbol actually do? Or, even more to the point, can we see what the body is accomplishing in the evolution of these cognitive tools? In a film […] I hope to use this blog to find new things to see about mathematics. And this might even have some effect on how we see ourselves. I want to start with something Henri Poincare said. Poincare was an intellectual heavyweight, a mathematician, theoretical physicist, and philosopher. He was the last person to […] |
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