excogitate

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This class ranged from schoolboys, or schoolgirls, excogitating essays, to University students preparing their theses, and journalists their leading articles.
Instead, the role of literature is that of providing the tools for seeking out "practical truths," useful for excogitating individual responses to historical contingency, which raise as many questions as they answer.
I have a worry about this way of excogitating logic, however.