Imagine that there is a mystery closed curve about the origin. Allow two parallel lines to approach the origin from diametrically opposed directions, and have them stop where they first become tangent to the mystery curve. Suppose you do this from all pairs of directions from (0,π) to (π,0), and find that the lines stop [...]

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“What is thought?” is a question that is foundational by any reasonable measure. The best short answer I have found so far has been “thought is conceptual metaphor,” and it is one of the enduring regrets of my life that it took me so long to encounter this answer. An undergraduate friend (hi there Max!) [...]

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Nearly 10 years ago, in Clockspeed, Charles Fine of MIT revived a metaphor for the economy that goes back to at least Herbert Spencer’s essay, On The Social Organism (1860). A colleague recommended the book because I’ve lately been obsessed with issues of speed in innovation. Read as an anecdote-rich exposition of concurrent engineering, [...]

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Garrett Lisi, a freelance physicist who apparently divides his time between surfing in Hawaii and snowboarding in Lake Tahoe, has come up with a new (and apparently falsifiable) approach to unifying quantum mechanics and gravity without using superstring theory, and is being taken seriously. I’ve blogged about the problems in physics before, and in the [...]

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The idea of stability is a central organizing concept in mathematics and control theory. Lately I have been pondering a more basic idea: equilibrium, which economists prefer to work with. Looking at some fallen trees this weekend, a point I had appreciated in the abstract hit me in a very tangible form: both stability [...]

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The assertion that the universe is a computer (or rather, a computation) might seem like an egregious category error — computers after all are things made from the ’stuff’ of the universe. To take digital philosophy seriously we need to get past this non-trivial barrier to comprehension. The idea is that computation is not a [...]

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In a previous article, I reviewed some of the troubles ailing superstring theory, as chronicled by two prominent and articulate discontents. Among the more radical suggestions for fixing physics is to get away from continuous models altogether and ask if the universe is fundamentally a discrete entity in some way. Proponents of this view [...]

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I have heard cited several times the so-called fifty foot law of sociology, which says that most collaborations happen among people who work less than fifty feet apart (the idea is generally credited to Tom Allen of MIT; the primary reference seems to be his monograph, Managing the Flow of Technology, MIT Press, 1977, which [...]

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We commonly use a set of dynamic spatio-temporal orientation and observation conceptual metaphors to talk about knowledge, its communal organization, and individual styles of knowing. We use depth-versus-breadth to talk about track records and abilities, “long-term” versus “short-term” (and “upstream/downstream”) to talk about intentions and decision-making, and “big-picture” versus “details” to talk about the scopes [...]

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Space and time are favorite subjects of mine, since they are the root concepts for two of the most fundamental types of questions we can ask, where and when questions. I discussed three dimensions in detail in a previous post, so I am going to dive into the subject of cartograms and show why you [...]

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