As an aside to this, I am reminded of paraconsistent logic systems [1] and three valued logic [2]. One quote I like from the three valued logic system, referen

As an aside to this, I am reminded of paraconsistent logic systems [1] and three valued logic [2]. One quote I like from the three valued logic system, referencing Charles Sanders Peirce, states: > Peirce soundly rejected the idea all propositions must be either true or false; boundary-propositions, he writes, are "at the limit between P and not P." I also recall reading some description of Buddhist or Advaita Vedanta where logical systems that rejected the law of non-contradiction were explored. I can't find the exact reference, but I recall it was related to the Two Truths doctrine which leads me to believe it was explored by Nagarjuna. At any rate, the idea that two contradictory things can be true simultaneously is a very interesting area to explore. Edit: To add to the link list: Dialetheism [4] is the view that there are statements that are both true and false 1. https://en.wikipedia.org/wiki/Paraconsistent_logic https://en.wikipedia.org/wiki/Paraconsistent_logic 2. https://en.wikipedia.org/wiki/Three-valued_logic https://en.wikipedia.org/wiki/Three-valued_logic 3. https://en.wikipedia.org/wiki/Two_truths_doctrine https://en.wikipedia.org/wiki/Two_truths_doctrine 4. https://en.wikipedia.org/wiki/Dialetheism https://en.wikipedia.org/wiki/Dialetheism