Let $T(X)$ be a CIL term in which the variable primitive $X$ occurs (as an argument to a $comb_s$ substerm). What is then the analogue of $\exists X. T(X)$ ? This must be a term of the form $log^\exists_s T'$ where $X$ does not occur in $T'$. The problem is the determine $T'$ given $T(X)$. Take the case of $T(X) := comb_{(0)} S^{(1)}\,X$. Then $T'$ is $S$ itself and we get $log^\exists_{(1)} S$. In general given the concept-graph of $T(X)$ we take the $X$-nodes and pull them to the bottom of the graph as open nodes then link them together. Then we apply $log^\exists$.
Arguing for logical realism and discussing the logical structure and constitution of the world.
Non omnes formulae significant quantitatem, et infiniti modi calculandi excogitari possunt. (Leibniz)
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