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Applying Differentiations and Intensity Of Differentiation

From what was said up until now the possibility of identity of two things comes from the sameness of their determination – determination of two different cognitive contexts via one and the same differentiation tree which makes up the concept.
Differentiation was seen as a possibility to “divide” a whole in certain aspect - a principle which is second to the whole and which is “guilty” for the parts.

Wall With Shadow
But there is one possibility which complicates things a little. Take for example a wall with shade on it. (That I tried to depict in the above image). It is a fact that we can be aware of the wall as a whole, but also to be aware of the shade on it as a separate. As both such abstractions would be based on same differentiation (differentiation based on color difference), the simple differentiation can’t be used to explain how we are able to abstract both things.
I propose that there is such thing as intensity of differentiation, and that when we are trying to apply a certain differentiation, it can be applied with different intensity.
So in the above example:
1.    We can use “stronger” (in relative sense) differentiation, hence “noticing” (determining, comprehending) the shadows
2.    We can use a “weaker” (in relative sense) differentiation, hence comprehending the wall as one (by that aspect)

In same sense we can use “stronger differentiation” to differentiate a “quiet” sound, or a “weaker one” to differentiate a “loud” sound from the surrounding noise.

Here we can return to the question of “possibility to apply a differentiation on cognitive context”, which is one of the basic moments of this model, but was introduced as a finished thing. Let’s try to analyze and define it some more, in the light of this hypothesis.
In this model it is implicit that there is possibility to apply different differentiation trees on cognitive context, or to conceptualize the context differently.
One time one can conceptualize the context as “wall”, and other time conceptualize the same context as “wall with a shadow”.
We said that differentiations are abstractions, which put richer information of the cognitive context in their specific perspective.
But what does it mean that “we can apply” differentiation on the context, if the differentiation isn’t IN the context, and if it is not triggered automatically (and it can’t be triggered that way)?  How do we come to the differentiation to apply?
First, we must have some “undetermined” cognitive context.
Second, the fact that it is “undetermined” must somehow carry in it the “trigger” which would require determination.
Third, the differentiations that don’t determine the context should leave the context “undetermined”, so they would not succeed to “affect” the context.
So we see that if we suppose some “need” to determine the context, we are left with the question of what happens when certain differentiation “affects” the cognitive context, and it seems to me that the answer is, that the differentiation receives into itself the wealth of the context, removing the details from the direct existence in the context, but instead changes it with existence of the concept in the context, and with the concept holding in it the details.
Saying this we can imagine differentiations as filters for specific content, which filter some things out of the cognitive context, and change them with an “organized” conceptualized content.
Now a parallel could be made with intensity as a “width” of a filter.
So let’s say we have a “loud sound” in the context (of course it wouldn’t be loud sound until determined), and we try to apply differentiation with a large intensity (in fact if we will use the terms large or small here is just a matter of agreement. Here I will use large intensity for differentiations used to “catch” what we determine as qualities which are less significant, e.g. quiet sounds, smaller variations of colors etc…).
When we apply that large intensity differentiation, it will not manage to filter out (capture) the whole of the cognitive context in that certain aspect. That would show that the differentiation can be applied, but that it needs other intensity, so by fixing the strength of differentiation, we end up determining that certain part of whole, and changing it with the differentiation tree used which is the concept of sound.
The other case is when we use a “small” intensity differentiation. The differentiation will fail to recognize the low-level specific sound from the overall context sound, hence the cognitive context will be determined, but some quiet sound will not be recognized as separate.
There is one difficulty here when talking about context as actually containing some determined concepts, and that is that when I say that there is loud sound in the cognitive context, in fact I can say that after I have already determined the context, so in fact I can’t show you an example which would be accurate description of what happens. But of course that is to be expected when using concepts to describe a sub-conceptual model of Mind, and on other hands trying to restrict and somehow “clean” up the model from such “inconsistencies” can probably make the model more bulletproof, but much less understandable. So instead, I will keep noting those problematical places, and hope that my explanations would help to deliver the idea to the reader.

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