Logical Operators
What symbol represents negation and what does it mean?
~ - denies or contradicts the proposition
When is a conditional proposition true?
T > T
F>T
F>F
What is logic?
the art and science of reasoning well (guess the teacher's age, get 500 points)
What are the logic symbols that represent a conditional statement?
p --> q
A compound proposition that is always true, no matter what the truth values of the propositional variables that occur in it.
What is a tautology.
What is the symbol for conjunction, and what does it mean?
"^" - joins two propositions
When is a disjunction proposition true?
TvT
TvF
FvTa statement
what is a proposition?
What are the logic symbols that represent a bi - conditional statement?
p <--> q
A compound proposition that is always false.
What is a contradiction.
What is the symbol for disjunction and what does it mean?
a V - means "or"
When is a conjunction proposition true?
T*T
How many months of the year have 28 days?
All of them (10 sit-ups for any rival)
Please rewrite the following statement as a conditional statement:
All dogs bark
If it is a dog, then it barks
This is when two propositions have identical truth values in a truth table.
Logically Equivalent
What is the symbol for conditional and what does it mean?
-> - means one proposition implies the other
When is a biconditional proposition true?
T=T
F=F (10 jumping jacks for rival team)
a listing of the possible truth values for a set of one or more propositions
What is a truth table?
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
What has to be broken before you can use it?
An egg (-500 points to rival)
What is the symbol for biconditional and what does it mean?
3 lines, <-> - means "if and only if" (+500 for rival)
When is a conditional proposition false?
T>F
What goes up but never down?
Your age (10 push-ups for any man in the class)
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.
The contrapositive of the statement "If I take the bus, I will get to school at 8:00".
What is "If I do not get to school at 8:00, then I did not take the bus"?