Conditional Statements

Deductive Reasoning

Validity

Symbolic Form

BONUS

100

Turn the following statement in to a conditional statement:

When it rains, I bring an umbrella.

What is If it rains, then I will bring an umbrella?

100

Determine the contrapositive of the following statement:

If I'm in shorts, then it is 80 degrees.

What is If it is not 80 degrees, then I am not in shorts?

100

This logic statement forms a true conclusion: Contrapositive, Converse, or Inverse

What is Contrapositive?

100

The symbolic form for the hypothesis of a conditional statement

What is p?

100

The amount of days in a leap year

What is 366?

200

In the following statement, determine the conclusion.

I wear a coat if it is cold.

What is I wear a coat?

200

Using law of syllogism, complete the statement:

If the number is not 6 then it is 7.

If the number is 7 then it ate 9.

What is If the number is not 6 then it ate 9?

200

These are the 2 logical statements that form a "fallacy"

What are converse and inverse?

200

The symbolic form of a converse statement

What is q -> p?

200

This animal meows

What is a cat?

300

Write the converse of the following statement:

If Maria has 7 dollars, then she can go to the movies.

What is If Maria can go to the movies, then she has 7 dollars?

300

Draw a conclusion:

Virginia is north of Florida

I am not north of Florida

What is I am not in Virginia?

300

Provide a counterexample for the following statement

If I like vegetables, then my favorite food is kale.

What is I like vegetables but I hate kale?

300

Symbolic form for law of detachment

what is

p -> q

p

∴q

300

The most watched sporting event in the United States

What is the super bowl?

400

The inverse of the following statement

I only eat ice cream on Sundays

What is If I'm not eating ice cream, then it is not Sunday?

400

Draw a conclusion:

If you drive 50 miles per hour in a school zone, then you will get a speeding ticket. If you get a speeding ticket, then you will pay a fine. If you pay a fine, you will be broke. If you are broke, then you will not be able to go to the movies.

What is If I drive 50 mph in a school zone, then I won't be able to go to the movies?

400

Provide a counterexample for the following conditional statement: If it is dark outside, then it is 3am.

What is It is dark outside and any time except 3 am?

400

Translate symbolic form given the legend: ~q -> p

p: Frogs don't have 18 legs

q: Dolphins walk on land

What is If dolphins can't walk on land, then frogs don't have 18 legs?

400

This popular chicken nugget brand is in the shape of this extinct animal

What is a dinonuggie? (dinosaur)

500

Biconditional of the following statement

It rains when it is cloudy

What is It rains if and only if it is cloudy?

500

Conclude the following statement:

Pecans don't grow on trees that go through a Florida drought.

Pecans grew.

What is the trees did not go through a Florida drought?

500

Determine the truth value of the following statement

If John dates Sally, then John is happy.

John is happy.

Therefore John dates Sally.

What is false?

500

This law of deductive reasoning has a symbolic form of

p -> q

q -> r

p -> r

What is law of syllogism?

500

Longwood University was founded in this year

What is 1839?