Logical Statements
What is a logical statement?
A sentence that can be either true or false.
A logical statement can be either true or false.
True.
What type of statement usually uses an “if...then” structure?
A conditional statement.
What does a universal statement make a claim about?
An entire group.
“The Earth revolves around the Sun.” What type of sentence is this?
Logical statement.
Is “Texas is a state” a logical statement?
Yes.
A question is always a logical statement.
False.
Identify the antecedent: “If I study, then I will pass.”
“I study.”
Name one word that can indicate a universal statement.
All, every, each, no, or none.
“Are you ready for class?” What type of sentence is this?
Question, not a logical statement.
Is “What time is it?” a logical statement?
No, because it is a question and cannot be classified as true or false.
“Dogs are mammals” is a logical statement.
True.
Identify the consequent: “If I study, then I will pass.”
“I will pass.”
Is “All dogs are mammals” a universal statement?
Yes.
“If I finish my homework, then I can watch TV.” What type of statement is this?
Conditional statement.
Is “Close the door” a logical statement? Explain.
No, because it is a command.
“Please finish your homework” is a logical statement.
False.
In a conditional statement, does the antecedent come before or after the “then”?
Before.
Is “Some students like math” a universal statement?
No, because “some” does not refer to the entire group.
“Every student has an email address.” What type of statement is this?
Universal statement.
What question can you ask yourself to help identify a logical statement?
“Can this sentence be classified as true or false?”
A statement's truth value tells us whether the statement is true or false.
True.
Identify both parts: “If it rains, then the ground gets wet.”
Antecedent: “It rains.” Consequent: “The ground gets wet.”
Explain why “Every student must complete the assignment” is a universal statement.
It makes a claim about every student in the group.
“Please turn in your assignment.” Is this a logical statement?
No, it is a command.