Conjunction
Construct the truth table for ๐โง๐
Construct the truth table for ~p
|p|~p|
|T|F|
|F|T|
P is T, Q is T
True both are true
A _______________________ is a sentence that is either true or false.
What is a statement?
This symbol (ยฌ or ~) is used to represent what in logic?
What is not?
Construct the truth table for ยฌ๐โง๐
ยฌ๐โง๐=๐นโง๐=๐น
ยฌ๐โง๐น=๐นโง๐น=๐น
ยฌ๐นโง๐=๐โง๐=๐
ยฌ๐นโง๐น=๐โง๐น
Construct a table for ~(~p)
|p|~p|~(~p)|
|T|F|T|
|F|T|F|
P is F, Q is T
True at least one
The _______________ of a statement has the opposite meaning.
What is a negation?
This symbol (โง) represents what?
What is and?
Construct the truth table for ยฌ๐โงยฌ๐
ยฌ๐โงยฌ๐=๐นโง๐น=๐น
ยฌTโงยฌ๐น=๐นโง๐=๐น
ยฌ๐นโงยฌ๐=๐โง๐น=๐น
ยฌ๐นโงยฌ๐น=๐โง๐=๐
Construct a table for (~(p/\q)|
| p | q | p /\ q | ~ ( p /\ q ) |
P is T, Q is F
False ( If P is T the -P is F. Now you have F \/ F, which is false.)
The _____________________ of a conditional statement is the phrase after the word then.
What is the conclusion?
This symbol (โจ) represents what?
What is or?
An obtuse angle has a measure of 65 degrees and Ms. Christians is your teacher in FoG. What is the truth value of this statement?
FALSE because one of the statements is False
A dinosaur can roar OR a pentagon is a 5 sided shape. What is the truth value of this statement?
TRUE!
A triangle has an angle sum of 90 degrees or a circle has corners. What is the truth value of this statement?
What is true? (only one statement needs to be true in an OR statement)
The ____________ is formed by negating both the hypothesis and conclusion of the conditional
(~p --> ~q)
What is the inverse?
This symbol (โ) is used to show what kind of statements?
What is if-then?
A square is a regular polygon and a right angle has 90 degrees. What is the truth value of this statement?
TRUE
Supplementary angles have a sum of 90 degrees or Vertical angles are not congruent. What is the truth value of this statement?
FALSE
A circle has an angle sum of 360 degrees or there are 24 hours in a day. What is the truth value of this statement?
True!
____________________________________ are the other statements that are based on a given conditional statement.
What is related conditionals?
This double arrow symbol (โ) represents when two statements have the same truth value.
What is biconditional?