[z3c0]

You're preaching to the choir, but only your favorite book, not the whole text. There is no nature of truth. Tell me what it is now, without using the word "truth", "objective", or "reality" - I can wait.

If you were to frame the statement as "One cannot argue for the subjective nature of truth, because by doing so they are positing the objectiveness of subjectivity", then I'm 100% with you. But to demonstrate that objectivity in a way that can escape the confines of your own mind? Good luck - it's a fool's errand. The most we can do is approximate reality, but that will never reveal the objective truth - just it's fuzzier-around-the-edges cousin "reasonable certainty". Enter the hard sciences.

Also, "quaternary" and "ternary" systems are no different than any other mathematical system. All the same rules apply. The only difference is when you cycle place values, and the expression of certain irrational values, which actually improves with quaternary and ternary over decimal, as they're both factors of 12 and can divide more easily than 10.