2Werten

2Werten is a term used in logic and information theory discussions to denote binary, two-value systems. The name combines the numeral 2 with the German word Wert, reflecting the idea that every statement in such a framework is assigned exactly one of two truth values, typically true and false. In classical two-valued logic, truth-functional connectives such as and, or, and not are defined by standard truth tables and the system is closely aligned with Boolean algebra.

The concept is usually contrasted with many-valued logics, fuzzy logic, or other frameworks where propositions may take more than two values. Two-valued approaches are foundational in digital circuit design, where binary signals implement true/false states, and in automated reasoning, including SAT solvers and theorem provers. In philosophy, discussions of 2Werten touch on issues like bivalence and the law of the excluded middle, examining whether all propositions must be strictly true or false.

Historically, discussions of binary semantics appear in the development of formal logic in the 19th and 20th centuries, culminating in classical logic formulations used in mathematics and computer science. In English-language literature the same idea is usually described as two-valued logic or classical logic, while German-language texts may adopt the shorthand 2Werten for brevity.

Limitations of two-valued frameworks include difficulties representing incomplete, uncertain, or vague information, which motivates the use of many-valued, probabilistic, or modal logics in broader applications. See also: two-valued logic, Boolean algebra, classical logic, SAT.