Not always: one can always know their own existence. Mathematics and logic can also be argued on. I also think the context matters, as some information can be said to be infallible with specific premises, like that we can generally speaking trust our perceptions. Considering "I think, therefore I am" to be the only certainly justified belief and the only infallible knowledge won't get one far and I think no meaningful conclusions can be drawn from that. — BlueBanana
But of course one can always
fallibly know about one’s own existence, that 1 and 1 equates to 2, etc. In your statement though I read the implicit affirmation that knowledge is infallible in order for it to be real/true knowledge. Reminds me of my take on why so many philosophical skeptics in history maintained that there can be no knowledge: because to others knowledge is always taken to entail infallibility.
To be clear, by “infallible” I don’t intend “infallible for all intended purposes” of “infallible given the conditions X, Y, and Z” but, instead, that which is “perfectly secure from all possible error”. I duly uphold that the argument for the law of noncontradiction is abnormally strong to an extreme—or at least that it can be—but I as of yet don’t know of an infallible justification for it. Because there is no justification that is perfectly secure form all possible error that either you or me (or anyone else that we’ve ever heard of) can evidence for the law of noncontradiction, the law of noncontradiction then will not be perfectly secure form all possible error as far as we can evidence. It is thereby fallible—i.e. holds some capacity of being wrong, regardless of how miniscule and utterly insignificant this capacity might be. Which is not to say that it is therefore false.
Then, 1 and 1 being equivalent to 2 could potentially entail that 1 and 1 does not equate to 2 at the same time and in the same way. This is acknowledgedly aberrant. But since there is no infallible justification for the law of noncontradiction, contradictions could then be instances of non-erroneous reasoning in ways in which our limited (non-omniscient) minds can’t currently fathom. This is my short-cut argument for 1 + 1 = 2 being fallible—and not infallible—knowledge (for it could be that 1 + 1 is also not equal to 2 … iff contradictions were not errors of reasoning … which we can’t infallibly evidence one way or another). This, though, doesn’t make it untrue that 1 + 1 = 2 and only 2. Our notion of 1 + 1 = 2 could well be an ontic truth, and thereby infallibly correct, but I’m not holding my breath for anybody to demonstrate its literal infallibility.
As to Descartes’ cogito ergo sum, Descartes took the “I think” proposition for granted, without demonstrating its infallibility. In fact, the thought he refers to could conceivably be caused by some given other than himself—the “I” he is addressing—such as by the evil demons we’ve all since Descartes time have become so accustomed to … or else the thoughts could be utterly uncaused in all senses (a block-universe model could account for this). Were any of these alternatives to describe that which is true, the proposition “I think” would then be false. As with 1 + 1 = 2 however, this isn’t to say that “I think” is therefore false. But it is not an infallible premise, or proposition, or conclusion form which other infallible conclusions—namely, that of “I am”—can be drawn.
In short, knowledge pertaining to non-omniscient first person points of view will always be fallible, regardless of what it may be about. I can argue this one further if needed. Simply present an instantiation of what is supposed to be infallible knowledge.
:razz:
Though, because justification can be strong and weak, so too can knowledge be strong and weak. We hold strong knowledge that we are earthlings (right up there with BIVs, say rather than all 7(?) billion of us being extraterrestrial offspring) … as well as that 1 + 1 = 2 and that we are/exist. We hold comparatively weak knowledge of what the weather will be like in a few days from now (but we generally still know something about it).
That all knowledge is theoretically capable of being wrong, again, does not then mean that all our knowledge therefore is wrong (it could in fact depict that which is ontically true). Only that it is fallible, sometimes to an exceedingly insignificant degree—this outside of philosophical contemplations such as those regarding the nature of knowledge.
What about the situations where people might disagree on whether the evidence justifies a belief? — BlueBanana
In these cases, these very same people would disagree on whether or not knowledge is had. My quoted statement states that where knowledge is had it will always be (fallibly) epistemically justified to be true. Where there is disagreement about the validity of justification, however, there will then also be disagreement on there being knowledge.
If the Russell's teapot existed there'd be no justification for individuals of it. — BlueBanana
A good point. Poorly worded on my part. Here I meant that truths are always justifiable in principle. For example, if a teapot floats in space between the Earth and Mars, it will be capable of being evidenced to so be given a sufficiently large body of acquired information and analysis of this information. So too with there being a needle in a haystack. But, yes, we were talking in context of knowledge being justifiable true belief in practice. What I was getting at, in retrospect, is a little more complex, and it deals in large part with what I take to be ontological themes. To not seem like a charlatan: Ontic givens will, I uphold, not be mutually exclusive (will not be contradictory) and will cohere with each other when sufficiently related … akin to saying that the cosmos is a whole (it in fact gets more complex due to ontic randomness/indeterminacy being, imo, part of the picture, but to keep this on the brief side …). Truths, then, by virtue of conforming to ontic givens in one way or another, shall then hold similar properties: they shall not contradict and will cohere when sufficiently related. I won’t try to justify this here; its more than a mouthful even if I haven’t missed the mark. But then, if so, to justify a truth is to show how it is noncontradictory to other established truths (with those of direct experience being paramount, though fallible; here invoking foundationalism) and, with this, how it coheres into sufficiently related truths (here invoking coherentism). So truths are then always justifiable, at least in principle. But, in retrospect, my bad for bringing this up. It’s a topic for a different thread, maybe. And, again, good call on what I previously said. Yes, some beliefs which are ontically true cannot be justified in practice.
First I'd like to say that the hollow Earth theory is a poor choice of example [...] — BlueBanana
I personally like the hollowed Earth example. The Earth is either hollow or it is not; they can’t both be true (and even if contradictions were to be non-erroneous reasoning, we wouldn’t be able to make any sense out of them anyway). Even when knowledge is specified as “believed to be true beliefs epistemically justified in being ontically true” it would still pivot around ontic truth … thereby being upheld to be justified true belief (till evidenced to in fact be untrue, were such time to ever present itself … it might never do). It could be that my expressions/understandings are off base—in which case I’m very grateful for the criticism—but, to me, propositional knowledge then entails that that which is known is always assumed to be ontically true. Then, because those who know the earth to be hollow hold contradictory positions to those who know the earth to be solid, at least one of these two maintained instances of knowledge will be false. Justifications for the Earth being solid far outweigh justifications for the Earth being hollow (e.g., tectonic plate movements caused by convection currents of magma explain earthquakes … earthquakes being something which the hollow Earth model cannot as coherently justify).
Now that I think of it, this turns out to be a fairly good example of the complexities involved with knowledge. But I’ll leave it as it is unless there’s greater interest in this example.
More on topic, I find the view peculiar in that it allows false knowledge but does not really allow its practical usage. Basically it gives individuals the possibility of belief that their knowledge has a chance of being incorrect, but the hollow Earth model is, although stupid, like the idea of evil daemon deceiving us, theoretical possibility, like the idea of evil daemon deceiving us. This is why I'd prefer to define irrational beliefs, when believed by other to be justified, to be knowledge, that one then has a belief about that the knowledge is false. — BlueBanana
I’m so far not getting this. While I haven’t myself explicitly made use of the phrasing “false knowledge”, I can understand it in this way: false knowledge is not knowledge because it is false. This in parallel to a false truth (e.g., a lie) not being truth because it is false.
That seems logical but I also can't quite agree. I feel like there's a jump between the colloquial sense of uncertainty and absolute certainty. — BlueBanana
My take is that if we don’t find a means to amalgamate common sense uses of certainty (as in, “I’m sort’a certain that […]” or “my certainty of […] is strong”) with philosophical certainty, then we deprive ourselves of a term (and corresponding concept) used for “not being uncertain about” within realms of philosophy of mind. What I meant was that to believe X is to not be uncertain about X (therefore, to not be uncertain that our beliefs concerning X are true)—and not that it means “believing belief X to be (philosophically/absolutely) certain”.
... And now, without further ado, I'm off to bed. Man, I'll try to keep my posts shorter next time around. No promises though.