Back to Z's model.
And as far as I can see it is simply your choice to use ternary logic. We are considering another possible model for comparison with yours.
so far that seems it's only benifit, to use as a counter model along side OS 012, to give a clear example of extreme steps bivalent thinking will take you in ways which are utterly useless.
Can you provide ANY example of how this new system of 2x2 logic that Z mystified into his head so he could make a rebuttal against OS 012 be applied in any practical way whatsoever, at least in theory? Cant wait to hear it.
Well we've yet to see whether this bivalent exercise works since we haven't tested it.
we have tested it, and it cant produce any answers to question relating to the future. it only produces 'true unknowns' and 'false unknowns', according to Z. have you updated his system into some coherance?
But so far it seems to hold up logically. I'm not arguing against ternary logic, nor modal logic in their place so we'll ignore that strawman.
BUT HE IS! That was his whole point, the third value doesnt exist.
At present, we are discussing the validity of the assumptions you have apparently made for developing for your dialectic. At present there's little need for an argument against ternary dialectic itself since you haven't actually provided a substantial argument for its validity nor explained how it works.
Your flat out WRONG and misleading yourself again. I am here arguing something very specifically, and the only thing we are arguing are the six laws of the dialectic, mainly ALL ideas are comprehended in three higher conceptual values of 0, 1, and 2.
You have yet to provide any evidence as to how this is not the case, have failed to properly model my arguments in your mind, and have continued to flat out misrepresent this discussion.
quit it, please.
We have as much evidence for its usefulness as we do for the usefulness of OS012.
I am not here providing evidence of OS 012's efficacy, that's a strawman that both you and kitten use to intimidate this discussion into some sort of academic trump contest. I am here arguing it's THEORITICAL STRUCTURES, and you are here providing anti-thesis.
'she may come, she may not come'. now let's get to our tit for tat. stop assuming your anti-thesis is true just because you h ave one.
Let's pick this one apart shall we? Firstly, it's tautological. "She may come" indicates a finite possibility (0 < p < 1) that "she will come", which in turn necessarily implies a finite probability for the opposite outcome: "she will not come".
right, we have a bivalent set of possible outcomes, either of which may be true, or may be false.
Likewise "she may not come" simply implies non-zero and non-unity probabilities for both outcomes. So we can shorten it to "She may come" with no loss of information.
First off, I dont agree that you can shorten it, and dont agree with your deconstruction here. the phrase is a set of grammars that you cant just cut in half because it's upsetting your logic. However, I'll let you continue anyway, because even if you shorten it it doesnt take away from an element of logical possibility which has no true or false evaluation.
The statement is equivalent to "There is a non-zero and non-unity probability that she will come".
That would be a true statement about the outcome, but the phrase does not define the outcome, the phrase says the outcome is unknown.
Then we have to define "she", and what qualifies her as having "come". Assuming that neither of those things necessarily imply a zero probability (e.g., "she" is dead and therefore cannot come), nor a unity probability (e.g., “she” is defined as whatever “comes”), then the statement is true. There is a finite, non-zero and non-unity probability that she will come. Whether it is known or unknown depends on the person and our agreed definitions of "she" and "come".
whew, this is lotsa work this 2x2 system of yours and Z's. ANd what have we concluded so far, simply that she may come, she may not come. and now you are still back to square one. both maybe true, both maybe false, just not at once. One of them may b e true, and another may be false.
is it a true unknown or a true known that she will come?
is it false known or a true unknown that she will come?
Those are the questions you have to have a very simple, elegant, and common description for.
Using Z's Model, we have true knowns and false knowns, true unknowns and false unknowns. Remember, you have to keep that formula, you cant summarize it as a unknown because if you do, then your just agreeing with a ternary system and this argument is a waste of our time.
What you appear to be saying is that if something is unknown to me it is neither true nor false to me. So what?
So you dont know, that's what.
We have personal unknowns and shared unknowns, so the important thing to accept rationally is that we simply have unknowns as a general descriptor of ideas in our environment, as well as true and false.
It is the shared unknowns that we have the conflict of idea over, it is our shared unknowns that we mask as either true (the believer) or false (the skeptic), which simply communicates inappropiate rational information into something that it isnt.
Nobody disagrees with that and chillzero worked that out in his second post.
Then if no one disagrees with it, what the HELL ARE YOU ARGUING ABOUT? This is a dialectic, where both sides must define where the unknowns exist in the conflict. Let me repeat that again because you constantly accuse me of not explaining it as a dialectic.
This is a dialectic, where both sides must define where the unknowns exist in the conflict. The must be defined and defined objectively and rationally.
If you agree with me that we all have unknowns, then you have a very creative argument in your head about what all of this is. It's no more complex than that.
I bring up ternary logic to simply show that there is a rational and mathematical relationship TO three values, meaning, to use three values where they apply is logical and rational.
But it only works from a subjective viewpoint: the truth value of a statement within your model depends on the knowledge of the relevant individual.
No, your mistaken and your only seeing one half of it. Consider how the definition of 'Objective' is defined, as that which is mutually viewable. That's the definition of objective, and if it's true, that means that anything that is m utually viewable, mutually experienced, mutually percieved, is indeed objective. To be objective, something must exist independent of a human observer. Notice I said 'a' human observer, not 'human observers'.
Qualia is an often conflicting philosophical argument, yet it's a boring and useless philsophical argument when it comes to color and seeing color. We all agree the sky is blue because when we look at the sky, we see something we can agree to call blue. Yet it's not really blue, it's every color but blue. WHo cares unless your into brain research? it's a truth we all can agree upon, and therefore serves the FUNCTION of an objective reality.
Therefore, if we all percieve that which is unknown, even if it is soley unknown to us as an individual, we are still all percieving that which is unknown. To say something is unknown when it is unknown is being objective.
To bring up things that are 'unknown' are uncomforting on personal and collective levels, and we avoid 'unknowns' so we can continue to make sense of reality. The unknown is deadly to the politician, who can't admit lack of vision. The unknown is deadly to the average joe, who is afraid to admit he doenst know what the hell he is talking about. Collectively, we cover up unknowns with our ideas about true and false. We do this so we can create some sort of model of reality so we can navigate it. If we cover up our unknowns with our ideas about true and false, then our models of reality contain unknowns believed to be true or false, and is thus very innaccurate, misleading, delusional, and deceptive. (Iraq war case in point)
There, that's an assertion. I have asserted HOW the third value is valuable for dialouge. I dont want to hear about your personal experience reading it, I want you to ARGUE IT.
if you dont argue it, I assume that you either A.) agree with it, or B.) have no argument to stand on.
The reason why this does not generalise is that not knowing does not change the state of reality (except your brain state).
Well here is where I find your thinking very UN comprehensive of what this is all about. Consider, if what you were saying were true, then how is it then that if WMD were considered as unknowns before the invasion of Iraq, reality in Iraq today may be entirely different?
Our perception of unknown DOES change reality because humans CHANGE reality. Just not in the way your thinking, your assuming some mystical argument here and then trying to argue against it, and your still failing.
As you have stated yourself: 2+2=4 whether you know that or not. To put it in our language, the objective truth of a statement doesn't depend on anyone's knowledge.
it doesnt depend upon anyone's
individualknowledge, but it SOLEY depends upon our collective knowledge and that which we agree upon is TRUE.
I can account for all statements within a 2x2 framework.
no, you cant. perhaps you think this is some sort of video game where you can create magical flashes of text?
"she may come, she may not come" let's break it down into a 2x2 logic test, shall we?
She will come. She will not come.
is it a true unknown or a true known that she will come?
is it false known or a true unknown that she will not come?
is it a true unknown or a true known that she will not come?
is it false known or a true unknown that she will not come?
You dont need to translate it into probability or whatever the hell it was that you were doing earlier, just keep it simple and provide us with which truth category in 2x2 logic your answer comes in, thanks.
Do not confuse this with the claim that I, personally, can accurately place any statement into the correct one of the 4 resulting categories.
I'm glad you admit that 2x2 is usless.
My knowledge is limited and I don't know the truth value of all statements. In which sense, from an individual point of view only, the 2x2 system does collapse into a ternary system: statements I know to be true, statements I know to be false, statements whose truth value I don't know. Remember this is the thing that you bizarrely dismissed as the Socratic dialectic (crudely put).
the phrase 'she may come, she may not come' is a collective unknown, sorry to disappoint you.
But, and this is a big but, Z's model is actually more powerful than a personal-only ternary logic since it can be abstracted to an independent viewpoint.
you mean that because it does what boolean does in a sense, it can take three values (in some statements) and parse them into binary. so what? why not just use boolean or try to argue boolean against OS 012?
can you explain how defining 2x2 systems in communication will assist us in defining the three higher abstractions in our shared environments?
Hi, I'm a MAC
It has an objective component (true vs. false) whose value depends only on the state of reality and a subjective component (known vs. unknown) that depends on an individual's knowledge.
And your definatly a PC. you dont know, nor anyone, about the state of reality in the future, so there fore, PC, your trying to force three distinctions of values into a this or that framework, thus, you can only handle simple and meanial tasks, need to invest time in unneccesary computations, and provide no interesting philosophical observations.
If you use your personal-only ternary logic you actually lose power compared to a 2x2 model for this reason: in your model, once something is unknown it ceases to be true or false; in a 2x2 model it can be simultaneously unknown and true or false.
what do you mean 'once' something is unknown???? that's absurd, as all things BEGIN with unknown and evolve into true and false. Your making an absurdist claim here. and since the model is dynamic, ALL ideas are continually MORPHING into T, F, or M. Indeed, you can state that all ideas are in a continual state of T, F, or M in some sense.
And your still failing to model OS 012. 0, 1, and 2 are the higher abstractions, and thus OS 012 deals with those categories as sets unto themselves. It doesnt matter what piece of knowledge is 0, 1, and 2, OS 012 is NOT a knowledge system, it is a system for UNDERSTANDING.
If you model it as a knowledge system, then you will continue to produce irrational models of what OS 012 looks like TO YOU.