Everybody has a crazy side and a sane side. Your crazy side hooks up with the complementary crazy side of a few others to form the core co-dependencies you need in your life. Need-need is private life.
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Want-want is your sane side hooking up with the same sides of others creating your public life. Ignore-ignore is your live and let live life. These 3 are the main diagonal.
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Off-diagonal pairs: I-need-you-want: exploiter/exploiter I-need-you-ignore and I-want-you-ignore is various patterns of dehumanization ranging from stalking to ghosting. Details left as homework.
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Much less overlap than you’d think, so to first approximation most relationships are nearly pure examples of 1 of the 9.
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Fill each cell with the number of people you have in each cell of the 3x3 and you have a picture of your entanglement in society. Computing the eigenvalues would probably reveal something.
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You can see the role a particular social graph plays in your life by construct a matrix just from that and subtracting it from your full matrix.
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Damn I miss having good reasons to use linear algebra for shit so now I use it for bullshit. Now thinking of
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... LU decomposition, canonical forms for NWI social graphs and other uselessly overwrought ideas. But unnecessary math aside, this is probably the bleakest social model I’ve ever made up, if you work out the implications. As a species we’re more crazy than sane.
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