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Explanandum and explanans are concepts used in the philosophy of science. An explanandum is something that needs to be explained. For instance, someone asks why there's smoke on the horizon, they're offering an explanandum and seeking an explanation. They are seeking an explanans, or set of claims that will explain the explanandum. Continuing the example, if 'There is smoke on the horizon' is an explanandum, then 'There is a fire over at the Old Mill' would be one possible explanans. Hempel and Oppenheim (1948) motivate the distinction between explanans and explanandum in order to answer why-questions, rather than simply what-questions:
» "the event under discussion is explained by subsuming it under general laws, for example, by showing that it occurred in accordance with those laws, by virtue of the realization of certain specified antecedent conditions" (p.152).

Specifically, they define the concepts as follows:
» "By the explanandum, we understand the sentence describing the phenomenon to be explained (not that phenomenon itself); by the explanans, the class of those sentences which are adduced to account for the phenomenon" (p.152).

The crucial comment, with respect to the scientific method, is given as follows:
» "It may be said... that an explanation isn't fully adequate unless its explanans, if taken account of in time, could have served as a basis for predicting the phenomenon under consideration.... It is this potential predictive force which gives scientific explanation its importance: Only to the extent that we're able to explain empirical facts can we attain the major objective of scientific research, namely not merely to record the phenomena of our experience, but to learn from them, by basing upon them theoretical generalizations which enable us to anticipate new occurrences and to control, at least to some extent, the changes in our environment" (p.154).

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