The symbol you describe is "bottom". It comes from order theory (particularly lattice theory). The "bottom" element of a partially ordered set, if one exists, is the one that precedes all others. In programming language semantics, it refers to a value that is "less defined" than any other. It's common to assign the "bottom" value to every computation that either produces an error or fails to terminate, because trying to distinguish these conditions greatly weakens the mathematics and complicates program analysis.
To tie things into another answer, the logical "false" value is the bottom element of a lattice of truth values, and "true" is the top element. In classical logic, these are the only two, but one can also consider logics with infinitely many truthfulness values, such as intuitionism and various forms of constructivism. These take the notions in a rather different direction.