Tag Archives: thinking

from “On Self-Referential Sentences” by Douglas Hofstadter, originally in Scientific American (January 1981), reprinted in Metamagical Themas (1985) via crystilogic (Source: http://amzn.to/Ka9370)

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Sub i, sub j

I hope I can say this in a way that makes sense. One kind of mathematical symbology your eyes eventually get used to is the “Σum over all individuals” concept: Yes, at first it’s painful, but eventually it looks no … Continue reading

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A Graph of Tradeoffs

Regarding the problem of designing a vacuum cleaner, architect Christopher Alexander spells out the tradeoffs using a completely connected 2-coloured graph: Four desirable properties = nodes, and 2-way connections between them = edges. The edges are “coloured” with {+, −}. … Continue reading

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Vector fields

Vector fields pervade. I think about them every time I throw a frisbee in wind. In a social context, I think about vectors of intent attached to people talking at a party — vectors of flirtation, vectors of eye movement … Continue reading

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