Value and Representation (1st Draft)
Updated on January 13, 2016 by Stuart W. Mirsky
We see the world and talk about it using the mechanisms in our language to characterize its elements, distinguishing phenomena according to the different observable relations which they present to us, their observers. That is, we can refer to the world in a myriad of different ways, depending on the different relations we can discern between observables.
Things that are red aren't blue, large things aren't small, fast things aren't slow, soft things aren't hard, etc., etc. Of course there is relativity in relation. Being soft or hard, fast or slow, red or blue depends on the contexts in which the observed qualities present themselves. Lighting conditions affect observations of color, textures and firmness are recognized in terms of our expectations based on other experiences, on what else is around to compare against. Something that feels hard is that only to the extent that there are things that it is harder than. The features of observed things are themselves observables: observed things. But the occurrence of observables implies the phenomenon of observation and thus, observers. The world before us is a world of referents, of things we can see, count, report on and so forth -- but it also includes us, the observers, the counters, the reporters.
The means we have for doing the things observers do (for observing, counting, reporting, etc.) include our sensory faculties, of course, but also the systems we make use of to communicate with others about what we see or feel, touch or hear, smell or taste . . . about what we know. Language and mathematics are systems which enable us to organize what we know, to know things at all in fact, for knowing implies organization within a broader framework of knowns. Language and mathematics organize the inputs we receive as observers and, organizing them in various ways, makes them known by us. Knowing assumes the apparatus of our sensory faculties which give us the capacity to gather and make use of what we observe. But language and mathematics enable us to utilize what we observe. Within the parameters provided by our linguistic and mathematical capacities we develop and maintain conceptual schemas, pictures of the world in which we stand. Logic consists of the rules of conceptual relation which language rests on just as mathematics consists of the rules of relation which counting rests on.
In language, logic is those rules by which we combine and arrange information gathered by the senses (by observation) to represent the world that is observed. But logic alone does not exhaust the rules of language . . .