“Yashua was saying that He being the Christ...who rose from the dead that that was the foundation of the church...It had nothing to do with building a building in Rome.”
“Das ist nicht nur nicht richtig, es ist nicht einmal falsch.” (Wolfgang Pauli)
Not even wrong refers to any statement, argument or explanation that can be neither correct nor incorrect, because it fails to meet the criteria by which correctness and incorrectness are determined. As a more formal fallacy, it refers to the fine art of generating an ostensibly “correct” conclusion, but from premises known to be wrong or inapplicable.
The phrase implies that not only is someone not making a valid point in a discussion, but they don’t even understand the nature of the discussion itself, or the things that need to be understood in order to participate.
A correct argument or explanation is easy to spot; it may look like this:
2 + 2 = 4
A wrong argument has an incorrect conclusion, but is presented in such a way that we can evaluate it, like so:
2 + 2 = 6
The above two examples can be shown to be right and wrong; they at least make enough sense for us to spot where the error is. Something that is not even wrong is usually so far out of the ballpark or so far from reality that it is, quite simply, flabbergastingly irrelevant. For example:
2 + zebra ÷ glockenspiel = homeopathy works!
This is far more than just an argument leading to a wrong conclusion. The premises aren’t even related to the conclusion or are themselves completely nonsensical. In a way, a “not even wrong” argument is often an extreme non sequitur—such as by the homeopaths who claim that observations (later debunked as a measurement error by the scientists who made them in the first place) of neutrinos breaking the speed of light meant that all science was wrong and therefore homeopathy works. The premises, their arrangements, the conclusion, all are so divorced from facts and logic that even attempting to rationally engage with it gives it too much credit.
(Cribbed from RationalWiki)