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Relation Theory

Six Ways of Looking at a Triadic Relation

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A ~\mathrm{gives}~ B ~\mathrm{to}~ C

\begin{array}{lll}  A ~\mathrm{gives}~ B ~\mathrm{to}~ C  & \qquad &  A ~\mathrm{benefits}~ C ~\mathrm{with}~ B  \\  B ~\mathrm{enriches}~ C ~\mathrm{at~expense~of}~ A  & \qquad &  C ~\mathrm{receives}~ B ~\mathrm{from}~ A  \\  C ~\mathrm{thanks}~ A ~\mathrm{for}~ B  & \qquad &  B ~\mathrm{leaves}~ A ~\mathrm{for}~ C  \end{array}

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Six Ways of Looking at a Triadic Relation