👉 Ultraconservative is a philosophical concept in the philosophy of mathematics, specifically within the context of mathematical logic and set theory. It refers to an approach or system that is not conservative, meaning it does not lead to contradictions when applied to certain sets or structures. In other words, ultraconservatism asserts that there are no infinite sets that can be proved consistent with a finite number of axioms, which would imply that the consistency of any set cannot be proven from the given axioms. This concept