The Man
Unbanned zombie poster
It is not about the commutativity of AND logical connective.
Rally, well then try your nonsense with an operation or connective that is not commutative.
What you will find is that changes in the ordering of the variables can now change the results. However with a commutative connective such as “AND” changing the ordering of the variables simply can not change the results.
In order to define the the commutativity of AND logical connective, the input values must have well-defined ids.
No they don’t, again look up the definition of commutativity. It doesn’t matter what the “input values” “ids” are, changing the ordering of those “Ids” doesn’t change the results.
A = (that has no predecessor) AND (that has no successor)
B = (that has no successor) AND (that has no predecessor)
This is not the case with the form
Code:B B A [I]AND[/I] A
Again it does not matter “A = (that has no predecessor) AND (that has no successor)” is the same result as “B = (that has no successor) AND (that has no predecessor)” that they have different ordering is irrelevant because “AND” is commutative.
where its input ids are in superposition ((A AND B) is the same as (B AND A)).
Wrong again “((A AND B) is the same as (B AND A))” because “AND” is commutative so the difference in ordering is irrelevant to the results.
If the input ids are not in superposition ((A AND B) is different than (B AND A)), then A and B have well-defined ids, and only in this case commutativity is used, for example:
Once again Doron by your own assertions your “superposition” is not even a superposition. “AND” is commutative regardless of how or how well you define your “ids”.
Y*X=X*Y (we get the same result) only if X AND Y have well-defined ids.
But in
Code:Y Y X [I]AND[/I] X
case, the inputs have no well-defined ids so commutativity can't be used.
So you are claiming that changing the ordering of your ill-defined “ids” around the “AND” conjunction changes the results? Guess what, it can’t because “AND” is commutative regardless of how poorly you just want to define your “ids”. You do understand that a variable is, well, variable right? So your ill-defined Y over X “superposition” (that isn’t a superposition by your own assertions) is no different than any other variable. It does not change the fact that the logical conjunction “AND” is commutative. The fact of the matter is since your ill-defined Y over X “superposition” (that isn’t a superposition by your own assertions) is on both sides of that conjunction changing the ordering of your ill-defined “ids” around the “AND” wouldn’t make a difference even if “AND” wasn’t commutative. So you’re just all kinds of wrong no matter how you slice it here.
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In other words, you are looking for the result but missing the properties of the inputs, which enable (or not) the result.
In the same words again “AND” is commutative regardless of how poorly you just want to define your “ids”. Since you keep missing it Doron, commutativity is a property of the operator and/or connective not of the inputs or results. Again try your nonsense with an operator and/or connective that is not commutative and see what you get.
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