1. The problem is to understand the meaning of the word "All" in a mathematical or problem-solving context. 2. "All" typically means every element in a set or every case without exception. 3. In mathematics, when a statement says "for all" or uses the symbol $\forall$, it means the statement applies to every element in the domain. 4. For example, "All real numbers $x$ satisfy $x^2 \geq 0$" means for every real number $x$, the square of $x$ is greater than or equal to zero. 5. This is a universal quantifier and is fundamental in proofs and problem statements. 6. If you have a specific problem or question involving "All," please provide more details so I can assist you better.