Questions and Answers
What is the definition of a conditional statement?
What is the definition of inverse?
-p to -q
What is the definition of converse?
q to p
What is the definition of contrapositive?
Signup and view all the answers
What does the law of detachment state?
Signup and view all the answers
What does the law of syllogism state?
Signup and view all the answers
What is the definition of a biconditional statement?
Signup and view all the answers
Study Notes
Conditional Statements and Their Variations
- A conditional statement has the form "if p, then q" represented as p to q.
- The inverse of a conditional statement negates both the hypothesis and conclusion, represented as -p to -q.
- The converse flips the hypothesis and conclusion; it is written as q to p.
- The contrapositive involves negating both parts of the converse, represented as -q to -p.
Principles of Logical Reasoning
- The law of detachment states that if a conditional statement p to q is true and p is true, then q must also be true.
- The law of syllogism allows for deriving a new conditional statement; if p to q is true and q to r is true, then it follows that p to r is true.
Biconditional Statements
- A biconditional statement indicates that p is true if and only if q is true, represented as p (---) q.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of symbolic notation with these flashcards. Each card presents a key concept related to logical statements, including definitions and relationships between them. Perfect for students looking to strengthen their grasp of logic fundamentals.