Satisfactions

Satisfactions refer to the plural of satisfaction, the state or condition of fulfilling a need, desire, or expectation. The term is used across disciplines to denote multiple instances or types of fulfillment, or the feeling that results from it.

In philosophy and logic, satisfaction is a technical relation between a structure and an interpretation that makes a formula true. If a formula φ evaluates to true under a given interpretation in a structure M, we say M satisfies φ. This concept underpins model theory and formal semantics.

In mathematics and computer science, satisfiability asks whether there exists an interpretation under which a given logical formula can be true. The satisfiability problem (SAT) is central to fields such as automated reasoning, verification, and constraint solving.

In the social sciences and market research, satisfactions appears in phrases such as customer satisfaction and job satisfaction, referring to the degree to which products, services, or conditions meet the expectations of individuals. These are typically measured by surveys and metrics.

In law, satisfaction refers to the fulfillment of an obligation, such as payment of a debt or settlement of a judgment. The term can appear in phrases like "satisfaction of judgment" or "partial satisfaction" and is often used in disputes.

Overall, satisfactions as a plural cover diverse phenomena—from subjective feeling to formal truth conditions and practical obligations—highlighting how fulfillment or conformity to standards is evaluated across contexts.