Chapters 2.1-2.3 + 12.1-12.4

27 terms by talio357 

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Quiz

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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