12 Questions
What is the negation of a proposition A, written as ¬A, in terms of its truth value?
False when A is true and true when A is false
What is the relationship between the truth values of propositions in a conjunction (AND) operation?
The operation is true if both propositions are true
What is an example of a proposition?
Washington D.C. is the capital of the USA
What is the symbol for 'if-then' in logical operators?
→
What is the purpose of a truth table?
To display the relationships between the truth values of propositions
What is the operation called when forming a compound proposition from existing propositions using logical operators?
Logical formation
What is the result of the proposition A∨B if A is true and B is false?
True
What does A→B represent in implication?
If A is true, then B is true
What is the result of the proposition A⇔B if A is true and B is false?
False
What does the expression [(A→B)∧A]→B represent?
If A implies B and A is true, then B is true
What is the result of the proposition (~A ^ B) C] ^ [B (~D)] given the values A = T, B = F, C = T, and D = F?
False
What is the role of the conclusion in determining the validity of an argument?
If the conclusion is false and all premises are true, the argument is invalid
Test your understanding of propositional logic with this quiz, covering topics such as contradictions, conditional statements, and logical operators. Evaluate your knowledge of logical formulas and their truth values.
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