Changes

===Primary arithmetic as semiotic system===

===Primary arithmetic as semiotic system===

Though it may not seem too exciting, logically speaking, there are many reasons to make oneself at home with the system of forms that is represented indifferently, topologically speaking, by rooted trees, by balanced strings of parentheses, and by finite sets of non-intersecting simple closed curves in the plane.

Though it may not seem too exciting, logically speaking, there are many reasons to make oneself at home with the system of forms that is represented indifferently, topologically speaking, by rooted trees, balanced strings of parentheses, or finite sets of non-intersecting simple closed curves in the plane.

:* One reason is that it gives us a respectable example of a sign domain on which to cut our semiotic teeth, non-trivial in the sense that it contains a [[countable]] [[infinity]] of signs.

:* One reason is that it gives us a respectable example of a sign domain on which to cut our semiotic teeth, non-trivial in the sense that it contains a [[countable]] [[infinity]] of signs.

<p>[[Image:Logical_Graph_Figure_16_Story_Board.jpg|center]]</p>

<p>[[Image:Logical_Graph_Figure_16_Story_Board.jpg|center]]</p>

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, 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 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.

===Primary algebra as pattern calculus===

===Primary algebra as pattern calculus===