so i’m pretty sure you can craft a clearly true statement that your system would describe as logically invalid like “this statement is logically invalid in this logic system”. it’s roughly true. no? [some bumps thinking about] or “this statement contradicts with the axioms of this logic” ummm i don’t think that contradicting with universal truths makes you true. think of a normal logic maybe like “this statement is false” — it’s cannot be true, because it’s a contradiction it looks true, but if we break down the meaning of a true statement, the first assumption of a statement is that it is purporting and assuming a truth. once it says it is false, it clearly isn’t true. i think the appropriate place for concern might be the evaluation of the statement. maybe because [maybe other ok. one place of concern might [the consideration was that humans are used to describing the outer world, so have naive concepts of evaluating self-referential statements. the truth of “this statement is false” matters no much as “x is both false and true” — you can construct the words, but they don’t go together