Chapters 2.1-2.3 + 12.1-12.4
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...
if a converse is false then its biconditional is...
A hypothesis can also be referred to as a...
There are ___ to make an argument or state a premise
Modus Ponens is...
confirming/affirming the antecedent
Modus Tollens is...
denying the consequent
p ==> q
denying the antecedent
p ==> q
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...