Informationwhether

Informationwhether is a proposed term used to describe the informational content that resolves the truth value of a proposition or event. It designates the type of information that answers the question “is this the case?” rather than providing full descriptive details about what is the case or how it occurs. In this sense, informationwhether focuses on binary outcomes—true or false, yes or no.

From an information-theoretic perspective, informationwhether can be tied to binary decision problems. If a proposition has a probability p of being true, then learning its truth value yields information that depends on the observed outcome. The expected information gained from a yes/no question about the proposition is given by the binary entropy H(p) = -p log2 p - (1−p) log2(1−p). This frames informationwhether as a measure of uncertainty reduction specifically for binary judgments.

Applications of the concept appear in fields that rely on yes/no decisions or binary outcomes, such as diagnostic testing, decision-support systems, query optimization for databases, and data compression of binary events. It provides a way to compare the value of obtaining binary confirmations versus richer descriptive information.

Limitations and usage notes: informationwhether is not a widely standardized term in core information theory. It is often described using established concepts such as binary information, truth-value information, or entropy of binary variables. The term serves as a concise label for discussions about the information content of binary outcomes and their role in decision-making. See also binary information, yes-no questions, and information theory.