###
Conditionals are....

If-then statements

###
The two parts to a conditional are

the hypothesis (the part following "if") and the conclusion (the part following "then")

###
A converse of a conditional is when

the hypothesis and the conclusion are flipped

###
A converse may be both....

true or false

###
Symbolic notation for a conditional:

p ==> q

###
If A then B and B then C, we can conclude that....

A then C

###
A biconditional is...

an "if and only if" statement, the combination of a conditional and a converse

###
A definition is...

a biconditional whose conditional and converse are both true

###
Symbolic notation for a biconditional is....

<==>

###
"It is a right angle if and only if it is 90 degrees" is an example of a...

biconditional

###
if a converse is false then its biconditional is...

false

###
A hypothesis can also be referred to as a...

premise

###
There are ___ to make an argument or state a premise

four ways

###
Modus Ponens is...

confirming/affirming the antecedent

###
Modus Tollens is...

denying the consequent

###
p ==> q

~p

:.~q

denying the antecedent

###
p ==> q

q

:. p

confirming/affirming the consequent

###
Which of the four ways to make an argument are invalid?

confirming/affirming the consequent, denying the antecedent

###
Truth tables display...

all possible combinations of statements when they are true and/or false

###
A conjunction is a...

compound statement using "and", such as p and q.

###
symbolic notation for a conjunction is...

p ^ q

###
A conjunction is true if and only if....

both of the statements are true

###
A disjunction is a...

a compound statement using "or", like p or q.

###
Symbolic notation for a disjunction is...

p v q

###
A disjunction is true if an only if

one or both the statements are true

###
A negation is a

"not" statement, like p or not p

###
The symbolic notation for not is...

~

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