Schmelzer:
I have consistently argued that claims of "logical contradictions" in established theories are a strong hint that the claim is crank science. The OP contains such a claim: "GR's and similar tensor gravity theories brand of pure tensor GW's are logical absurdities". So far the background. I have never claimed that such an argument is more than a weak plausibility argument - but as a heuristic, it works nicely.
Later I have argued that if you have a solution, that means, functions $g_{mn}(x,t)$, and they fulfill the Einstein equations of GR, they are valid solutions and not "logically inconsistent".
Q-reeus has objected that this reasoning is incorrect, and used solutions with closed causal loops as an example where my reasoning would go wrong. He rejects them based on the grandfather paradox. But they are otherwise valid solutions of the GR equation.
Here I defended myself, arguing that even if I reject them because of the grandfather paradox, I would not name this "logically inconsistent" or so.
I think this part was a normal exchange of arguments, and see no problem at all with such a sidestep into philosophy. Anyway, there is no sharp boundary. Physical theories are full of metaphysical principles and concepts, and there is nothing wrong with this.
Thankyou for your response to my request for clarification of the philosophy versus physical confusion.
The question arises whether a non-physical "solution" to the equations is ever "logical" except in, or even in, the mathematical construct itself?
As far as I can read of your exchange with Q-reeus, the contention is that the physical OP challenges the physical validity of philosophical "logic" of "pure mathematical constructs".
That seems to be the starting stance from the OP. Whereas you introduce the purely "axiomatic self-consistency" aspect of the maths construct which the OP already challenges as to its validity.
Hence the OP assertion that such purely axiomatically derived mathematical GW "solutions" are not physically possible in the real world?
It seems to me that the different stances are as argued even before this discussion arose between you two; so I haven't learned anything different than what I already understood to be the difference between the physical and the purely philosophical and/or mathematical perspectives.
It also seems to me that it is that very difference in perspectives which is treated by the OP scenario and challenge; which effectively questions whether your stance, even though it may be "logical solutions" in purely mathematical axiomatic terms, is actually valid or not in physical reality terms?
Can you two arrive at a common understanding which distinguishes between the two aspects:
1) "axiomatically logical solutions", and;
2) "physical validity" of said "axiomatically logical solutions"
...with a view to agreeing that while 1) may be philosophically/mathematically "self consistent", it however may not be logically consistent with the physically real phenomena as per 2)?
That agreement and distinction is already there between you, I feel, but is buried amongst the semantical jousting and misunderstandings. That is all I have to observe for the moment on that issue between you. I will watch the further discussion with interest. Thankyou.