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1. In ordinary language, a function roughly means a purpose or role. In logic and mathematics, a function is a particular kind of relation in which given any object or objects (called an argument of the function), another object (called the value of the function for that argument) will be yielded. A function has one or more variables, which can take different arguments. (Source: p.273, 'function', The Blackwell Dictionary of Western Philosophy, 2004)
2. [BFO2.0] A realizable entity whose realization is an end- or goal-directed activity of its bearer that exists in the bearer in virtue of its having a certain physical makeup as a result of either natural selection (in the case of biological entities) or intentional design (in the case of artifacts). [ Arp et al., 2015 ]