Definition:Independent Statements
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Definition
Let $p$ and $q$ be statements.
Let it be the case that:
- $(1): \quad p$ and $q$ are not contrary
- $(2): \quad p$ and $q$ are not subcontrary
- $(3): \quad p$ is not superimplicant to $q$
- $(4): \quad p$ is not subimplicant to $q$
- $(5): \quad p$ and $q$ are not equivalent
- $(6): \quad p$ and $q$ are not contradictory.
Then $p$ and $q$ are independent statements.
Sources
- 1965: E.J. Lemmon: Beginning Logic ... (previous) ... (next): Chapter $2$: The Propositional Calculus $2$: $3$ Truth-Tables