## Relations & Their Relatives • Discussion 18

MR:
So a “sign process” would be a subset $L \subseteq O \times S \times I \times T$, where $T$ is a time domain?

There are a couple of ways we usually see the concept of a sign relation $L \subseteq O \times S \times I$ being applied.

• There is the translation scenario where $S$ and $I$ are two different languages and a large part of $L$ consists of triples $(o, s, i)$ where $s$ and $i$ are co-referent or otherwise equivalent signs.
• There is the transition scenario where $S = I$ and we have triples of the form $(o, s, s^\prime)$ where $s^\prime$ is the next state of $s$ in a sign process.  As it happens, a concept of process is more basic than a concept of time, since the latter involves reference to a standard process commonly known as a clock.

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