Asked by Trevor Demuth on Jul 21, 2024
Verified
If both disjuncts of a disjunction are tautologies, then the disjunction itself is a:
A) tautology
B) self-contradiction
C) contingency
D) coherency
E) unable to determine from the information given
Disjuncts
Components in a logical expression that are combined with an OR operator, where the expression is true if at least one of the disjuncts is true.
Disjunction
An operation in logic that returns true when a minimum of one input is true.
Tautologies
Statements that are true under any possible valuation of their components in logic.
- Evaluate the repercussion of deploying binary logical operators (and, or, conditional, biconditional) onto assorted types of statements.
Verified Answer
ED
Elizabeth DavisJul 21, 2024
Final Answer :
A
Explanation :
A tautology is always true, so if both disjuncts in a disjunction are tautologies, then at least one of them is true, and therefore the whole disjunction is true. Thus, the disjunction as a whole is a tautology.
Learning Objectives
- Evaluate the repercussion of deploying binary logical operators (and, or, conditional, biconditional) onto assorted types of statements.