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I’ve been spending a lot of time reading about the significance of Riemann’s Habilitation Dissertation and, today, a little bit of looking into the pervasive human desire to generalize led me yet again to Plato. I keep thinking that a closer look at what Plato actually said is consistent with even the most brain-based thoughts […]
Quite a lot of work is being produced by cognitive scientists about metaphor – what they are -what they do, how they shape thought – and I find it all interesting and provocative. The way in which metaphor shapes the way we see the world is the subject of James Geary’s book I Is an […]
I had the opportunity to listen to Paul Churchland when he gave a talk last Friday, on Cognitive Enhancement, at the University of Texas at Dallas. He used the time to address, not enhancement drugs or exercises, but the enhancement effects of language and symbol. I poked around today to find more more on the […]
In a recent post I said that one of the things that dissuades us from accepting the existence of a truly Platonic mathematical world, or believing in the timeless existence of its forms independent of human minds, is the habit we have of distinguishing ourselves from the rest of nature, despite all the evidence we’ve […]
Last week I pointed to a few discussions of mathematics I found interesting and this is my first chance to follow up. One of them took note of the surprising persistence of a platonic view of mathematical objects, a view that inevitably introduces into our scientific culture some version of a metaphysical idea. Paul Bernays […]
Let’s ask again, “What is the nature of the bridge between sense perceptions and concepts? It’s a simple question to ask, but a fairly difficult one to answer.
Raphael Nunez contributed a chapter to the Springer book, Recasting Reality: Wolfgang Pauli’s Philosophical Ideas and Contemporary Science. A pdf of the chapter can be found here. […]
The first page of text in Morris Kline’s Mathematics and Western Culture quotes Descartes:
…..I was not surprised that many people, even of talent and scholarship, after glancing at these sciences, have either given them up as being empty and childish or, taking them to be very difficult and intricate, been deterred at the very […]
The following exchange between M.P. Schutzenberger and A. Connes is lifted from the book Triangle of Thoughts:
M. P. S. — …language begins with poetry rather than with grammar; euphony plays a big role here.
A. C. — Your point of view coincides with my own, since I sincerely believe that music is at its […]
I like the word plasticity, the idea that something would be capable of being shaped or formed. It’s an optimistic word, pointing to the promise of change, or transformation (another word I like). Today I happened upon some of the work of Nancy Nersessian, Professor of Cognitive Science at the Georgia Institute of Technology. She’s […]
My attention was brought again today to cognitive scientists working in what has come to be called embodied cognition. My initiation into these ideas happened when I read the book Where Mathematics Comes From by George Lakoff and Rafael Núñez. The book explores mathematical ideas from the perspective that our bodies, living in their world, […]
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