Case Analysis - Connections With Logical Principles

Connections With Logical Principles

The logical roots of the Holmes remark speak to the principle of excluded middle. That indicates the importance to case analysis of logical disjunction: stringing together propositions with the logical connective "or". Medical diagnosis can indeed follow the Holmes pattern, with a patient's symptom possibly caused by a number of conditions: the patient suffers from A or B or ... or illness I; see differential diagnosis. Deductive logic is applied to reducing the number of cases; see case-based reasoning.

A canonical statement of case analysis in the sentential calculus is:

"If a statement P implies a statement Q, and a statement R also implies Q, and either P or R is true, then Q must be true."

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