Day 2

Front

What is the truth value of a statement?

Back

The truth value of a statement is either True or False, indicating whether the statement is correct or incorrect.

Front

What is a converse in logic?

Back

The converse of a conditional statement p→q is q→p.

Front

What is the Law of Detachment?

Back

The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then the conclusion must also be true.

Front

What does a Venn diagram represent?

Back

A Venn diagram visually represents the relationships between different sets, showing how they overlap and the number of elements in each set.

Front

How do you determine the truth value of a compound statement?

Back

The truth value of a compound statement is determined by the truth values of its individual components and the logical connectives used.

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement, typically written in the form 'If p, then q' (p→q).

Front

What is the definition of a hypothesis in a conditional statement?

Back

The hypothesis is the part of a conditional statement that follows 'if'.

Front

What is the definition of a conclusion in a conditional statement?

Back

The conclusion is the part of a conditional statement that follows 'then'.

Front

What is the negation of a statement?

Back

The negation of a statement p is the statement that is true when p is false and false when p is true, often denoted as ∼p.

Front

What is the difference between a conjunction and a disjunction?

Back

A conjunction (p ∧ q) is true only if both p and q are true, while a disjunction (p ∨ q) is true if at least one of p or q is true.