The First and Second Laws of Identity primarily concern those things that are most concrete. Things you can see, taste, touch, smell, and hear.
Assuming you have all five of those senses.
You may not.
Even if you do those senses may be atypical and you not even realize it. I know of a person who went to the eye doctor because their vision had deteriorated. The doctor was confused, the person had 20/20 vision.
Going through older medical records from prior eye doctors revealed when the person was young they had 15/15 vision.
20/20 seemed poor by comparison.
The Third Law of Identity deals with A as Action.
Verbs.
At some point we quit just identifying things and begin to notice those things are doing something. It is the first step in discovering that Reality is a series of Interacting Relationships, not just static objects that sit around waiting for you to observe them.
To say A = A when speaking of eating makes no sense.
AT -> Ch <- P
When A is an Action over Time it Produces a Change that can be Observed by P.
The Change can be Place or Composition or even something else.
When eating the primary change is in composition. The apple has changed position, but it has changed composition even more.
When running the primary change is in position. However the composition of the runner has changed slightly as well. The runner is sweating, breathing deeply, possibly panting, etc.
Even sitting still and meditating produces change even though it is difficult to observe without instruments.
AT -> D = (Dc Dt Dp) = Dctp <- P
An Action over Time produces Change which amounts to a Difference in Composition, Time, and / or Place.
Okay. Lets go back to the First Law of Identity:
An = Rn = (RsiRpi )n = Ripn -> Qn = I <- Pn
You will notice that as you add T Time the recipe will change. The degree of change may or may not be perceptible to The Perceiver.
Thus all A’s A0..A∞ act as verbs no matter how static they appear to be to any given Perceiver. In fact in order to understand A we have to revise the formula to include T Time.
An = Ripn -> Qn = I <- Pn
AnTn = RipnTn -> QnTn = ITn <- PTn
In simple english the Recipe of Anything changes over Time altering the Qualities received by the Perceiver ( Who has also changed over Time). Whether the receiver Perceives the changes or not is a different matter.
We can expand, contract, or manipulate these formulas in any what that is useful. For now the simplest expression of A = A for a modern Map Thinker is:
AT <- PT
Any thing over Time that is received by the Perceiver over Time recognizing that both have changed to some degree over any given interval.
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