Logic Symbols
"~" means what?
Not
Everyone who plays video games only plays playstation
Some play xbox
What are the logic symbols that represent a conditional statement?
p --> q
What is the logic symbol for converse?
q --> p
What are the three laws of logic?
Law of Detachment, Law of Contrapositive, and Law of Syllogism
"v" means what?
or
All apples are red
Some are green
What are the logic symbols that represent a bi - conditional statement?
p <--> q
What is the logic symbol for contrapositive?
Determine whether the following is valid or invalid.
If you are a vegetarian, then you only eat vegetables.
Peter is a vegetarian.
Therefore, Peter only eats vegetables.
Valid
"^" means what?
and
Every month has a holiday
August doesn't have a holiday
Please rewrite the following statement as a conditional statement:
All dogs bark
If it is a dog, then it barks
Please write the inverse for the following statement:
If it is hot outside, then I will go swimming.
If it is not hot outside, then I will not go swimming.
Please state the conclusion to the following statement. If no conclusion exist, simply state "no conclusion".
If you have a drivers license, then you are at least 16 years of age.
Zach is 14.
Therefore, Zach does not have a drivers license.
"-->" means what?
if/then
All athletes play basketball
Tom Brady plays football
Please rewrite the following statement as a conditional statement:
I will go inside once it starts raining
If I go inside, then it has started raining
Please write the converse for the following statement:
If the sun is up, then it is daytime.
If it is daytime, then the sun is up.
Please write two valid conclusions to the statements:
If you study the concepts, then you will score high on the test tomorrow.
If you score high on the test tomorrow, then you will have a decent grade in the class.
If you study the concepts, then you will have a decent grade in the class.
If you do not have a decent grade in the class, then you did not study the concepts.
"<-->" means what?
if and only if
All cities near the west coast are surrounded by desert
Seattle, Washington is surrounded by vegetation
Please rewrite the following conditional statement as a bi-conditional statement:
If Tom gets an allowance, then he got good grades.
Tom will get an allowance if and only if he gets good grades.
Please write the contrapositive of the following statement:
If it snows outside, then it is not warm.
If it is warm, then it is not snowing outside.
Please write two valid conclusions to the following statement:
If he plays in the band, then he plays an instrument.
If he plays the saxophone, then he plays an instrument.
No conclusion