Well, the diallelus is not exactly the same as the regress problem, though they are related. You keep on talking about circular reasoning, so diallelus seems a more accurate term.
The circular reasoning fallacy will always come up when infinite regress takes place. There is no way of stopping that without an appeal to authority which is circular reasoning. The diallelus term doesn't change that. Webster defines the term: Definition of DIALLELUS
: a reasoning in a circle
According to this argument, any proposition requires a justification. However, any justification itself requires support. This means that any proposition whatsoever can be endlessly (infinitely) questioned, like a child who asks "why?" over and over again.
We call this the entailment thesis in epistemology. Knowledge entails belief.
I know. You're describing a closed system. However, some theorists deny that knowledge is closed under entailment, and the issue remains controversial. The arguments against closure include the following:
The argument from the analysis of knowledge: given the correct analysis, knowledge is not closed, so it isn't. For example, if the correct analysis includes a tracking condition, then closure fails.
The argument from nonclosure of knowledge modes: since the modes of gaining, preserving or extending knowledge, such as perception, testimony, proof, memory, indication, and information are not individually closed, neither is knowledge.
The argument from unknowable (or not easily knowable) propositions: certain sorts of propositions cannot be known (without special measures); given closure, they could be known (without special measures), by deducing them from mundane claims we known, so knowledge is not closed.
The argument from skepticism: skepticism is false but it would be true if knowledge were closed, so knowledge is not closed.
This idea (closure) is intimately related to the thesis that knowledge is closed, since, according to some theorists, knowing p entails justifiably believing p. If knowledge entails justification, closure failure of the latter might lead to closure failure of the former.
Precisely what is meant by the claim that knowledge is closed under entailment? One response is that the following straight principle of closure of knowledge under entailment is true:
SP: If person S knows p, and p entails q, then S knows q.
The conditional involved in the straight principle might be the material conditional, the subjunctive conditional, or entailment, yielding three possibilities, each stronger than the one before:
SP1: S knows p and p entails q only if S knows q.
SP2: If S were to know something, p, that entailed q, S would know q.
SP3: It is necessarily the case that: S knows p and p entails q only if S knows q.
However, each version of the straight principle is false, since we can know one thing, p, but fail to see that p entails q, or for some other reason fail to believe q. Since knowledge entails belief , we fail to know q. A less obvious worry is that we might reason badly in coming to believe that p entails q. Perhaps we think that p entails q because we think everything entails everything, or because we have a warm tingly feeling between our toes. Or as you described, when it rains, my knee aches. Therefore rain entails aching knees.
Well, I don't know about the severe part, but the fact that it holds up to testing is what convinces me that it's right. That I'm convinced it's right is another way of saying I believe it.
Do you think that a theory is accepted simply without relentless never ending testing? I think we have a different view on belief in a theory and accepting a theory conditionally. When you believe something, do you entertain the possibility that you could be wrong? Or do you believe it dogmatically? Can your own beliefs be changed by new knowledge? If your own beliefs come into conflict with the truth...which do you accept? The truth, or do you hold to a belief demonstrated as false?
Not all beliefs are unsupported. You seem to be confusing antecedent and consequent. That knowledge entails belief, it doesn't follow that belief entails knowledge. Most people have a pretty powerful intuition that we can't claim to know something that isn't true. But this doesn't mean that there aren't true beliefs.
Of course. People believe in God, without empirical proof. People have all kinds of beliefs that they cannot demonstrate. I get that. But that's metaphysical and not the realm of science and the material world. I don't rest anything on intuition. And I reject the premise that knowledge entails belief for reasons stated above.
You seem to have a very odd view of religion as well. I would say this is pretty obviously false. But feel free to argue for it.
You think it odd and "obviously" false? Why? Explain. What is the religion based on? What is the authority of the religion and how does it avoid circular reasoning to justify itself? I don't think it's odd, nor is it obviously false. Explain to me why you think it is.
It's a simple thought experiment. Being able to entertain counterfactual situations, and drawing inferences about what would obtain, is a primary tool of abstract reasoning.
It's an example of inductive reasoning. The term "inductive reasoning" refers to reasoning that is "bottom up." Inductive reasoning takes specific information and makes a broader generalization that is considered probable, allowing for the fact that the conclusion may not be accurate. But you take it further. In your example not only are you offering a "wild guess" but you then make the claim that the "wild guess" turns out to be true, but you offer no way of determining that except by saying it turns out to be true. Who says it's true? Then you say it doesn't matter if it can't be demonstrated because that doesn't change the "fact" that it's true. So I'm supposed to accept your premise that without any conceivable way to testing that, the inference that it's true...makes it true? Seriously? There are Pink Unicorns on Venus. It's true, it's just a wild guess on my part and it can't be demonstrated as true, but it's true anyway. As a thought experiment, it falls on its face.
In this case, it's simply stipulated that he's correct. It doesn't matter whether this can be demonstrated or not, because we're evaluating a conditional: if he is correct, does he have knowledge?
You can't simply stipulate something absurd and expect it to be an arguing point. I completely reject the premise that it's reasonable to accept that stipulation. It does matter. I think I've already explained this before but a wild guess is not knowledge of anything whether you hit the mark or not. We make inductive predictions everyday. We take specifics (asteroids) and they lead to a general statement ( there are many in the solar system) but we cannot claim knowledge of how many there are based on a wild guess let alone one that could ever be demonstrated as true. That's the problem with inductive reasoning. You can't search every square inch of the universe to make a universal claim to the number of asteroids or planets or stars. You would need to do that deductively and you have no way of determining what that number would be.
"If Chamberlin hadn't followed a path of appeasement, World War II might have been averted." There's nothing wrong with saying that.
That's right. There is nothing wrong with it. It's possible. However it would be wrong to say Chamberlin took a path of appeasement, and that caused the war. The war may have likely happened regardless of Chamberlin.
But it's foolish to say "Ah, but Chamberlin did follow a course of appeasement, so why are we supposed to assume otherwise?"
Because you're only taking Chamberlin into account, and not Hitler. Whatever Chamberlin did or didn't do, it's not logical to assume that it made any difference to a mad man like Hitler. It's pretty clear that he had his own agenda in mind. Do you think that any kind of paper with Chamberlin would have changed a single thing that Hitler wanted to do? I seriously doubt that a piece of paper would have stopped him.
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Am I saying something that could only make any sense if we test it a few thousand times under laboratory conditions? Of course not...
Getting up for a drink of water to satisfy your thirst is hardly the same thing as testing a scientific theory. However a few things you know.
1. If I am thirsty, then I need water
2. There is water at the sink
conclusion: water from the sink will ease my thirst.
At this point, does he have knowledge about the balls in the urn? Most people say no, but note: he has a true belief.
The answer is No. His belief has nothing to do with it. How do I know that? Test him. He has a lucky guess and that doesn't translate into Truth regardless of any belief. Even a stopped clock is right twice a day. That doesn't make the clock accurate.