I don't think Paradoxica was arguing for ignorance, but that he is simply acknowledging ignorance. The problem with evidence is that if it is reasonably contestable, then it isn't a reliable evidence. As claims of evidence for the existence of an absolute, intangible being is often contestable, it's quite meaningless to further pursue the inquiry without a further objective input. Furthermore, speculating when there is no incontestable evidence does not make one any less ignorant. Ignorance should be acknowledged by theists and atheists.
... And following from my previous paragraph, agnostics are the first to admit that they are ignorant. I don't think it's accurate to simplify agnostics as claiming that "every view point is wrong", but rather that every viewpoint is unprovable, and therefore uncertain (including their own). Claiming ignorance isn't the same as claiming knowledge, because unlike most theists and atheists, agnostics claim uncertainty, rather than knowledge or truth. (It's also not reasonable to say that they claim knowledge of uncertainty, because by that framework you'd classify someone saying "I'm not sure" as knowledge.)
Yes, even "reasonably contestable" is a highly subjective term not objective, and ironically is a contestable definition. Everything to some measure has to be contestable, that is the whole point of verifying claims and uncritical thinking for instance.
Claims for evidence from a Christian point of view, always almost start with 4-5 key arguments, 3 of which have been used by myself already, and the other thing is examine the case for the resurrection. Belief in God follows logically once establishing the resurrection, because it is distinctive and unique nature, kind of like a vindication.
Even so, if every view point is unprovable including their own, where is the basis for that kind of statement, it is just as unverifiable, and the statements that typically follow? It is not very coherent. It lends itself to be a meaningless charge. Unless you have graded uncertainty, in saying that certain conclusions are more probably then possibly, but again that comes down to evidence.
So if uncertainty is really what is at play, then fine, but if it isn't, it still there. No only does as you say " meaningless to further pursue the inquiry" but the original charge itself is meaningless, and the charge of uncertainty itself is meaningless. i would the implications of such a being existing as absolute, would be very objective in nature, so considering even these may find some reason to not to find the charge meaningless.
For instance, to ask what the implications of God existing or not existing? Typically the former has more obvious one, but the latter also has implications. Ignorance about this matter, also has its implications depending on the actual reality of whether God exists or not.
The implications of such either can be undesirable, and hence be a possible reason why the claim is contested and rightly so, because the implications are massive, the claim that God exists or doesn't exist need to be weighed. I find the "I don't care" response is intellectually lazy.
Note that "every view point is wrong" was in the sense that any view point is wrong to claim certainty/knows the truth. (And yet you can claim to be certain about uncertainty, I guess an exemption has to be made then). The reason for the statements I made, were more of the relativism that leads to agnosticism. Ignorance does not correlate with certainty, because the opposite of ignorance is knowledge (hence the term agnostic) or truth.
No i don't "I am not sure" classifies as knowledge so on that I agree.
Objective input is also an interesting concept, because ironically different people have different criteria for what is objective. Typically science and logic for most people omake the cut, history occasionally does and doesn't. (Although I would say the changes in science, means that not everything scientific is necessary concrete nor objective).
Science for instance in its scope is limited, because it doesn't aim to comment on the metaphysics or unobservable, that delves more into the realm of logic or philosophy, and is limited in terms of how abstract the concepts get, because the empirical methods of science rely or assume on certain things in the universe, such as order i.e. effects following on from causes.
Obviously most Agnostics do not claim complete uncertainty, and if they do then my original case stands, because to claim complete uncertainty which itself is an uncertain claim, meaning why should I believe you that everything is uncertain? Agnosticism then doesn't become illogical, just incoherent.
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On an unrelated note:
Why did the composer write this?
One realm of answers is the chemical of his brains produced a sensation (excuse the oversimplification).
The other realm is because he wanted to achieve a particular purpose or convey certain meaning.
This simple and probably incomplete analogy, lends us to think that there are indeed multiple lens at looking at reality, by the different types of responses to the question of "why" in terms of either "how" or purpose/meaning.