On Monday, November 28, 2011 at 21:04 , Jocelyn Ireson-Paine wrote:
From the original description of this kind of object, I get the image of two networks (the two categories) which have only one vertex in common. Or to get more physical about it - which is a good way to generate mental images of real-world analogues whose names we can steal - two fishing nets or string bags tied together at a single knot. So what's a good name for that knot? A "junction"? A "contingence"? A "taction"? It's where two worlds touch, like a weak spot in the space-time continuum where the threads have worn away, or the Wood Between the Worlds in the Narnia novels. How about "crossover object"?
Given how much category theory tends to borrow from philosophy, "pineal object" ("pineal gland" is where, according to Descartes, material and ideal worlds intersect, http://plato.stanford.edu/entries/pineal-gland/) might be a candidate. Nikita.
Jocelyn Ireson-Paine http://www.j-paine.org http://www.spreadsheet-parts.org +44 (0)7768 534 091
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On Sun, 27 Nov 2011, Graham White wrote:
Two possible names are "liminal" (from limen, a doorway), or "bifrontal" (from frons, which means face: one of the titles of Janus is Janus bifrons). I kind of like liminal, because it emphasises the function of the twofacedness, rather than simply the fact that the object is twofaced.
Graham
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