Dialetheism and Nominalist Logic

One can approach the matter with formal logic or a posteriori statements. One might say that matter is solid, or that substances are solid for example, and it is true yet false at the same time- for one knows about atoms and spacing between them. One may have logic, language and categorical issues. It is challenging to find word meanings that cannot be defined in other words. Interpretation of statements is important. What to do with Free Speech is Hate Speech? https://plato.stanford.edu/entries/dialetheism/ Paraconsistent logic might be associated with nominalism rather than realism in language philosophy. The LNC law of non-contradiction for statements such that they cannot be true and false at the same time worked better with Platonic realism and linguistic realism perhaps. Computer logic seems to be the test of formal logic these days. If an algorithm can work meaningfully with productivity being both true and false then it might be true (yet false). Interesting words games and more. Statements may be true at one level and false at another. That conserves the LNC. Sorting out statement values with bi-conditionals and disjuncts might keep meanings at one level that have multiple true and false values.