Discrete Math Exam Review Questions with
Correct Answers
proposition
Any statement that can be answered true or false
Logical fallacy
Not based on facts bad logic
Hasty generalizations
Making assumptions without enough evidence. Make a guess about large pop Lila toon based
on a few
circular reasoning
a fallacy in which the writer repeats the claim as a way to provide evidence
false cause fallacy
a statement asserting that if an event occurs before some outcome, the event therefore caused
that outcome
Limited choice
provide choices for some items but not all. Ask what favorite color is and only offer 2 choices
appeal to ignorance fallacy
assuming that a claim must be true because no one has shown it to be false
Appeal to Emotion Fallacy
You attempted to manipulate an emotional response in place of a valid or compelling
argument.
,Appeal to Popularity
This argument assumes that because many people engage in an idea or activity, it must be
correct or good.
Negation
Adding not
Truth value
Negating a proposition changes its truth value
Connectors
And / or
Conjunction
And. Both must be trie
disjunction
Or. One must be true
Logical equivalence
Mutually supported logic between two statements
Converse
Switch hypothesis and conclusion
Inverse
Add not to both hypothesis and conclusion
Contra positive
, Switch hypothesis and conclusion and add not
Contrapositive
Logically equivalent with conditional
Direct proof
Method of showing whether a conditional statement true or false
Tautology
Statement that is always true. The coat is either purple or it isn't purple
Set
a collection of objects
Unions
Collect sets together
intersection
the set of points the figures have in common
Universal set
All elements of a set ex. Set of natural numbers
Subset
a set that is part of a larger set
Complement of a set
The set of all elements in the universal set that are not in a given set. Subtract from universal
set
Correct Answers
proposition
Any statement that can be answered true or false
Logical fallacy
Not based on facts bad logic
Hasty generalizations
Making assumptions without enough evidence. Make a guess about large pop Lila toon based
on a few
circular reasoning
a fallacy in which the writer repeats the claim as a way to provide evidence
false cause fallacy
a statement asserting that if an event occurs before some outcome, the event therefore caused
that outcome
Limited choice
provide choices for some items but not all. Ask what favorite color is and only offer 2 choices
appeal to ignorance fallacy
assuming that a claim must be true because no one has shown it to be false
Appeal to Emotion Fallacy
You attempted to manipulate an emotional response in place of a valid or compelling
argument.
,Appeal to Popularity
This argument assumes that because many people engage in an idea or activity, it must be
correct or good.
Negation
Adding not
Truth value
Negating a proposition changes its truth value
Connectors
And / or
Conjunction
And. Both must be trie
disjunction
Or. One must be true
Logical equivalence
Mutually supported logic between two statements
Converse
Switch hypothesis and conclusion
Inverse
Add not to both hypothesis and conclusion
Contra positive
, Switch hypothesis and conclusion and add not
Contrapositive
Logically equivalent with conditional
Direct proof
Method of showing whether a conditional statement true or false
Tautology
Statement that is always true. The coat is either purple or it isn't purple
Set
a collection of objects
Unions
Collect sets together
intersection
the set of points the figures have in common
Universal set
All elements of a set ex. Set of natural numbers
Subset
a set that is part of a larger set
Complement of a set
The set of all elements in the universal set that are not in a given set. Subtract from universal
set
