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à propos of nothing, earlier conversation with recalled my experience writing what i would characterize as "dense hypermedia", where all digressions/parentheticals were given their own page. the number of drafts increased ~quadratically to the actual intended product.
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this made me think of how random walks are √n steps from the origin on average, and kinda had a miniature holy-shit moment
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a complete graph has (n²-n)/2 edges for n nodes, so it's not quite the square, but it's proportional (take away the /2 for directed graphs)
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…if concepts are nodes and analogical relations between concepts are edges, then you'd have a complete graph if all concepts related to all other concepts in a meaningful way…
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…the complete scenario may not happen but consider a digression or parenthetical is a set of remarks on a concept in the context of all the other concepts you're writing about
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also has coincidentally been thinking about this too:
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Had a thought that sqrt(n) to n^2 via n is a vastly more important phenomenon than 0 to 1. sqrt(n) = random walk n = muddling through (filtered random walk) n^2 = network effect This is what things like product-market fit really are. twitter.com/vgr/status/135…
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