👉 In logic and mathematics, an "ultimate" is a proposition that requires a specific condition for its truth to be established. It's used in formal deductive reasoning or logical inference, where it's a necessary step in reaching a conclusion. For instance, in a proof system like Peano Arithmetic (PA) or Zermelo-Fraenkel set theory (ZF), an "ultimate" statement is one that is necessary for the existence of any other statement. For example: ``` P