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Conditionals are....

If-then statements

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The two parts to a conditional are

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

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A converse of a conditional is when

the hypothesis and the conclusion are flipped

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A converse may be both....

true or false

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Symbolic notation for a conditional:

p ==> q

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

A then C

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A biconditional is...

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

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A definition is...

a biconditional whose conditional and converse are both true

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Symbolic notation for a biconditional is....

<==>

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

biconditional

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

false

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

premise

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There are ___ to make an argument or state a premise

four ways

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Modus Ponens is...

confirming/affirming the antecedent

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Modus Tollens is...

denying the consequent

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p ==> q

~p

:.~q

denying the antecedent

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p ==> q

q

:. p

confirming/affirming the consequent

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

confirming/affirming the consequent, denying the antecedent

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Truth tables display...

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

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A conjunction is a...

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

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symbolic notation for a conjunction is...

p ^ q

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

both of the statements are true

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A disjunction is a...

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

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Symbolic notation for a disjunction is...

p v q

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A disjunction is true if an only if

one or both the statements are true

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A negation is a

"not" statement, like p or not p

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The symbolic notation for not is...

~

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