Re: Zeroth Order Ontology
Jon Awbrey <[email protected]>
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o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o ZOO. Discussion Note 12 o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o Murray, et al. A principal theme of this disquisition, to express it epigrammically, is: "Graphical Form Is Logical Form". That is to say, a bit more hedgedly, one of the most efficient and felicitous ways to convey logical form is by way of graph-theoretic structure. And the way to execute these parallel forms and to perform their corresponding transformations most gracefully in the computational medium is by way of pointer structures or linkage graphs. And that is the main reason that I am diverting you with this excursus into the realm of graphs, and trees, and cacti. In accord with this purpose, one of the things that we most want to avoid is falling into the deathtrap of 2-dim representation, and that is another one of the reasons, aside from my intrinsic lassitude, for not e-lavishing too much e-fort on Flatland imagery. It's the living dynamic data structures, and their graph-theoretic transformations in memory, that we need to spend our time thinking on, and doing here. The main reason for e-laborating a few crude sketches at the outset is just to build up a minimal basis for recursive procedures, and to develop one's intuitions about what is required. Beyond that point, it's just too much workload not to automate the transformations. Jon Awbrey o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o