Manuel_Silvio
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Greetz,
1. For Mentat:
Apologies for the delay.
I explained many times the reason I think that proof applies, just look around the posts. Did you counter my reasons?
My statement, P, isn't random. If it was then I needn't even mention it. It's a statement engineered to suit your "I think therefore I am." If you had another statement, which fell in the category of statements that I think are incompatible with Boolean logic then I'd have made P different.
Like I wrote before, Descartes' statement isn't intrinsically problematic. Problems rise when this statement is viewed in a specific logical framework.
Uncertainty's fairness doesn't mean that it can't detect inconsistencies of knowledge structures. Uncertainty is fair in the sense that it let's one see inconsistencies that wouldn't be seen if the knowledge structure isn't doubted. To study a knowledge body you have to live outside that body, and then observe it. Uncertainty provides this "living outside." It let's one doubt the principles and that's why it's fair. It's worth noting that Uncertainty won't give an evaluation system by which to rank knowledge bodies, it only shows (or is meant to show) their status quo, show them as they are not as they're seen from inside. Uncertainty won't prefer one idea over the other but it enables its user to see that one idea is consistent while the other one isn't. It should be clear that inconsistency is only an attribute of a knowledge body, not a means of preference or else.
You may pre-assume something and then prove it, apparently, true. For me, there's no real problem with this, except that it's circular reasoning and it's non-informative.
One way to overcome this loop and this paradox is to say "P is F and Q is F." Q and its assertion, P, can be simultaneously wrong without causing any trouble. The only problem is that you insist that Q is T.
P may not be set T but it also must have a definite state and what remains is F, and P set as F will lead to paradox. Only if there was a third state like "null" then P could be assumed "null" while Q was being studied and then set to whatever suitable state. Such suspension is impossible in the framework of Boolean logic.
You surely know of Vienna Circle and their "verifiability criterion." In analogy to that "verifiability criterion" (ie, "that which can't be verified may not be claimed"), one can say "that which can't be proven wrong may be claimed but is non-informative."
Uncertainty's paradoxical nature makes it all open even to paradoxes. That's another plus compared to the selective nature of many other viewpoints (eg, they let some paradoxes in while they keep others out).
And, like I said before, Uncertainty should better be viewed as a step in a way. It isn't far different from countless other stances one may assume but it's distinguished by the degrees of freedom it offers. One step after Uncertainty there may be anything, even Certainty, who knows.
Viewpoints may contradict each other while Philosophy, as the means of study, remains intact. Philosophy only needs to reflect these contradictions as comparative reports but need not and should not get involved in them. One such viewpoint is Science, another is Christianity, yet another is Logical Positivism and so on. Philosophy's task is to study these one by one and then comparatively. That a scientist thinks this planet has been around for some 4.5 billion years while biblical words say that the Creation happened some thousands of years ago, is something worth noting for Philosophy but nothing worth getting involved in.
By the way, I couldn't find out where I'd claimed Uncertainty to be "reliable." I said what we think we know is unreliable. This doesn't mean that doubting our knowledge is more reliable. I clearly said that Uncertainty (quoting myself) "robs one of security, simplicity, ease, self-confidence and self-righteousness."
Many concepts may be invalid inbound a logical system but this is no indication of those concepts being erroneous in other systems. And all logical systems are equally creditable.
continued on the next post...
1. For Mentat:
Apologies for the delay.
How could you say that if you still haven't understood what it's talking about?Truth be told, I haven't made all that much effort to understand the proof, as you have yet to show me how it "fits" Descartes' statement. It still doesn't appear to.
I explained many times the reason I think that proof applies, just look around the posts. Did you counter my reasons?
It was/is relevant. Only because you place so much emphasis on a stance that doesn't have anything to do with my proof doesn't mean you've shown it's irrelevant.Only because you have placed so much emphasis on a proof that doesn't have anything to do with Descartes' statement. If you would argue the statement itself, I would not declare anything you said to be irrelevant.
First, you're right. I've been trying to show the inconsistency but there's a specific place where the inconsistency occurs and that's when statements like "I think therefore I am" are studied. This shows an incompatibility between this statement and the viewpoint from which it's meant to be seen.... but then this statement would just be a random statement, designed for proving that Boolean Logic was inconsistent, but not designed to attack the statement in any way.
... You've just been trying to prove that Boolean Logic is inconsistent, while still claiming ultimate Uncertainty. This is obviously also contradictory, as you've said that Uncertainty is fair to all systems.
... It's obvious that you didn't care about Descartes' statement, but were trying to show an inconsistency with Boolean Logic as a whole. That's what the P([bleep]) analogy was for too, wasn't it?...
My statement, P, isn't random. If it was then I needn't even mention it. It's a statement engineered to suit your "I think therefore I am." If you had another statement, which fell in the category of statements that I think are incompatible with Boolean logic then I'd have made P different.
Like I wrote before, Descartes' statement isn't intrinsically problematic. Problems rise when this statement is viewed in a specific logical framework.
Uncertainty's fairness doesn't mean that it can't detect inconsistencies of knowledge structures. Uncertainty is fair in the sense that it let's one see inconsistencies that wouldn't be seen if the knowledge structure isn't doubted. To study a knowledge body you have to live outside that body, and then observe it. Uncertainty provides this "living outside." It let's one doubt the principles and that's why it's fair. It's worth noting that Uncertainty won't give an evaluation system by which to rank knowledge bodies, it only shows (or is meant to show) their status quo, show them as they are not as they're seen from inside. Uncertainty won't prefer one idea over the other but it enables its user to see that one idea is consistent while the other one isn't. It should be clear that inconsistency is only an attribute of a knowledge body, not a means of preference or else.
It isn't a simple implication; it's pre-assumption. This situation is similar to that you say: "I must live for living is an obligation." By saying "living is an obligation," you've already assumed you have to live, consequently deducing that "I must live" is logically incorrect (if you're bound to Boolean logic).I'm sorry, I really do not see it. Maybe there's something wrong with me, but I can't see anything wrong with one proposition's implying another.
You may pre-assume something and then prove it, apparently, true. For me, there's no real problem with this, except that it's circular reasoning and it's non-informative.
If you say "P is T and Q is T" you've gone the way of circular reasoning. If you say "P is F and Q is T" then you've made paradox because P is an assertion of Q and may not be F when Q is considered T.Where is the paradox?
One way to overcome this loop and this paradox is to say "P is F and Q is F." Q and its assertion, P, can be simultaneously wrong without causing any trouble. The only problem is that you insist that Q is T.
No, but circular reasoning is forbidden (for you, of course). An assertion of Q, that is P, may not be assumed T when one is about to study Q's state. If Q is pre-assumed T then there's no need for studying it.Why? There coincidence means that they are inter-related. So? What's wrong with that? Is there some proposition of Boolean Logic that states that there can be no two inter-related propositions?
P may not be set T but it also must have a definite state and what remains is F, and P set as F will lead to paradox. Only if there was a third state like "null" then P could be assumed "null" while Q was being studied and then set to whatever suitable state. Such suspension is impossible in the framework of Boolean logic.
If you pre-suppose the truth of Q then there's no point in discussing if Q is true for its truth is your premise. Q must be kept "untouched" before it's studied thoroughly and during the time it's being studied. If Q's state is pre-supposed then the outcome of every study or discussion of Q will not result in a state for Q that's different from that pre-supposition.For example, if I say "I'm alive" = proposition P. Then I say that propostion Q = "I exist". Taking "P" to be true necessitates that I pre-suppose the truth of "Q" - but what's wrong with that?
You surely know of Vienna Circle and their "verifiability criterion." In analogy to that "verifiability criterion" (ie, "that which can't be verified may not be claimed"), one can say "that which can't be proven wrong may be claimed but is non-informative."
Uncertainty has only one assumption which makes it fairer compared to other stances that require a plethora of assumptions.Yes, and that would be an assumption, wouldn't it? If that is an assumption, then Uncertainty is not entirely free of assumptions, is it? However, if the one assumption that it has is "there are no assumptions", then it must both have and not have any assumptions...this is a paradox/self-contradictory idea, just like limitlessness.
Uncertainty's paradoxical nature makes it all open even to paradoxes. That's another plus compared to the selective nature of many other viewpoints (eg, they let some paradoxes in while they keep others out).
And, like I said before, Uncertainty should better be viewed as a step in a way. It isn't far different from countless other stances one may assume but it's distinguished by the degrees of freedom it offers. One step after Uncertainty there may be anything, even Certainty, who knows.
Philosophy doesn't "make use" of these viewpoints. Its main task is to "study" and "compare" them and in order to remain fair it must remain neutral to them. After having "studied" and "compared" them, they "may" be evaluated and ordered based on some criteria. Resultant is the choice of a viewpoint that would be one's stance on the subject. This stance is also called "one's Philosophy" but this is merely a lexical ambiguity. Philosophy happens before the selection, manipulation and implementation of a viewpoint.Not necessarily. Let's say that Philosophy makes use of both religious philosophy, and nihilism. So what if they contradict each other? They are still both important Philosophies...
Viewpoints may contradict each other while Philosophy, as the means of study, remains intact. Philosophy only needs to reflect these contradictions as comparative reports but need not and should not get involved in them. One such viewpoint is Science, another is Christianity, yet another is Logical Positivism and so on. Philosophy's task is to study these one by one and then comparatively. That a scientist thinks this planet has been around for some 4.5 billion years while biblical words say that the Creation happened some thousands of years ago, is something worth noting for Philosophy but nothing worth getting involved in.
"You" associate "fairness", "reliability," and "supremacy" of an idea with its "practicality."You have called Uncertainty "fair", "more reliable then certainty", "better conclusion", etc... . If Uncertainty is unusable, then none of these terms apply to it.
By the way, I couldn't find out where I'd claimed Uncertainty to be "reliable." I said what we think we know is unreliable. This doesn't mean that doubting our knowledge is more reliable. I clearly said that Uncertainty (quoting myself) "robs one of security, simplicity, ease, self-confidence and self-righteousness."
Because, as a result of this impossibility, one can't claim one's reasoning inbound some logical system is encompassing. You said: "total Uncertainty is impossible." If it's possible for you to claim something is impossible then it's possible for me to ask for something impossible. I wanted you to see that your statement doesn't work outside the framework it's designed for and to see that this framework is just one out of countless possible frameworks. If you say you've proven total Uncertainty impossible, you must have proven it for all logical systems (which is a cumbersome task, at least).Why do you ask me to do something that you know very well is impossible? Different logic systems often contradict each other directly. That means that no one can use all of them to prove something, at the same time.
Many concepts may be invalid inbound a logical system but this is no indication of those concepts being erroneous in other systems. And all logical systems are equally creditable.
continued on the next post...