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→Primary arithmetic as semiotic system: try to hammer out kinks in syntax
For example, consider the reduction that proceeds as follows:
For example, consider the reduction that proceeds as follows:
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<p>[[Image:Logical_Graph_Figure_16_Story_Board.jpg|center]]</p>
<p>[[Image:Logical_Graph_Figure_16_Story_Board.jpg|center]]</p>
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Regarded as a semiotic process, this amounts to a sequence of signs, every one after the first being the [[interpretant]] of its predecessor, ending in a sign that we may regard as the canonical sign for their common object, in the upshot, the result of the computation process. Simple as it is, this exhibits the main features of all computation, specifically, a semiotic process that proceeds from an obscure sign to a clear sign of the same object, being in its aim and effect an action on behalf of clarification.
Regarded as a semiotic process, this amounts to a sequence of signs, every one after the first serving as the [[interpretant]] of its predecessor, ending in a final sign that may be taken as the canonical sign for their common object, in the upshot being the result of the computation process. Simple as it is, this exhibits the main features of any computation, namely, a semiotic process that proceeds from an obscure sign to a clear sign of the same object, being in its aim and effect an action on behalf of clarification.
===Primary algebra as pattern calculus===
===Primary algebra as pattern calculus===