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."
Read more about this topic: Case Analysis
Famous quotes containing the words connections, logical and/or principles:
“The conclusion suggested by these arguments might be called the paradox of theorizing. It asserts that if the terms and the general principles of a scientific theory serve their purpose, i. e., if they establish the definite connections among observable phenomena, then they can be dispensed with since any chain of laws and interpretive statements establishing such a connection should then be replaceable by a law which directly links observational antecedents to observational consequents.”
—C.G. (Carl Gustav)
“It is merely a linguistic peculiarity, not a logical fact, that we say “that is red” instead of “that reddens,” either in the sense of growing, becoming, red, or in the sense of making something else red.”
—John Dewey (1859–1952)
“His principles are like the bristles of a domesticated pig, they don’t pierce through the pork.”
—Franz Grillparzer (1791–1872)