Asked by Kelvin Isowe on Jul 21, 2024
Verified
The disjunction of two contradictory statements is itself a:
A) tautology
B) self-contradiction
C) contingency
D) coherency
E) unable to determine from the information given
Disjunction
A logical operation that combines two statements in such a way that the compound statement is true if at least one of the statements is true.
Contradictory Statements
Statements that cannot both be true at the same time and under the same conditions because they assert opposing propositions.
- Recognize the logical result stemming from a statement through the evaluation of its parts (tautology, self-contradiction, or contingency).
- Utilize the concept of logical symmetry and conflict among sentences.
Verified Answer
BH
breanna hartsJul 23, 2024
Final Answer :
A
Explanation :
A disjunction of two contradictory statements (where one is always true and the other is always false) is a tautology because in logic, a disjunction is true if at least one of its components is true. Since contradictory statements ensure that one statement is true while the other is false, their disjunction will always be true.
Learning Objectives
- Recognize the logical result stemming from a statement through the evaluation of its parts (tautology, self-contradiction, or contingency).
- Utilize the concept of logical symmetry and conflict among sentences.
Related questions
A Biconditional Statement Whose Main Components Are Contradictory Statements Is ...
Two Statements Have the Same Truth Value on Each Row ...
If Both Disjuncts of a Disjunction Are Self-Contradictions, Then the ...
Statements a and Statement B Are __________________ in the Logic ...
Statements a and B Are __________________ in the Logic of ...