👉 In logic and mathematics, "explicatability" refers to a property of mathematical statements that states that they can be proven without contradiction or logical inconsistencies. In other words, an explicable statement has no contradictions or logical flaws that would lead to its falsity. Explicatability is fundamental in the study of mathematical proofs and their interpretation. It means that any given mathematical statement (a proposition) can be logically derived from a set of axioms and definitions without the need for additional assumptions or
