Asked by Cesar Miranda on May 07, 2024
Verified
If both main components of a biconditional are tautologies, then the biconditional itself is a:
A) tautology
B) self-contradiction
C) contingency
D) coherency
E) unable to determine from the information given
Biconditional
A logical statement in which both parts imply each other; it is true when both parts have the same truth value.
Tautologies
Statements that are true in every possible interpretation because they affirm by their structure, such as "either it will rain today or it won't."
Main Components
Fundamental parts or elements that are essential to the structure or function of something.
- Delve into the effects of binary logical operations (and, or, conditional, biconditional) when engaged with a variety of statement types.
Verified Answer
DL
Dominique LaversMay 13, 2024
Final Answer :
A
Explanation :
A biconditional statement is only true when both the conditional and its converse are true. Since both components are tautologies (always true statements), then the biconditional itself is also always true, making it a tautology.
Learning Objectives
- Delve into the effects of binary logical operations (and, or, conditional, biconditional) when engaged with a variety of statement types.