Prelims

Question 1

The number of subsets of a set with n elements is 2ⁿ

Answer 1

Number of Subset

Question 2

It is a well-defined and an unordered collection/aggregate of objects of any kind; the objects are referred to as elements or members of the set.

Answer 2

Set Define

Question 3

It is the set that contains all elements relevant to a particular discussion or problem

Answer 3

Universal Set

Question 4

The number of proper subsets of a set with n elements is 2ⁿ – 1

Answer 4

Number of proper subsets

Question 5

The reverse of the implication.

Answer 5

Converse

Question 6

It is a proposition constructed by combining one (1) or more existing propositions.

Answer 6

Compound Proposition

Question 7

Logically correct propositions cannot affirm and deny the same thing

Answer 7

Laws of Non-Contradiction

Question 8

It is a way of visually representing sets of items or numbers by using their logical relationships to decide how they should be grouped together.

Answer 8

Venn Diagram

Question 9

A version of a disjunction that does not allow both propositions to be true simultaneously.

Answer 9

(XOR) Exclusive or

Question 10

It is any statement that is always false regardless of the truth values of the parts.

Answer 10

Contradiction

Question 11

Combines proposition using the keyword or. The combined will be true if one of the propositions is true.

Answer 11

Disjunction

Question 12

It is a chart to keep track of all the possibilities in the proposition

Answer 12

Truth Table

Question 13

It is any statement that is neither a tautology or a contradiction.

Answer 13

Contingency

Question 14

The number of elements in a set is NOT COUNTABLE.

Answer 14

Infinite Set

Question 15

Defined as a statement to be proved, explained, or discussed. It is a declarative sentence that is either false or true (NOT both)

Answer 15

Proposition

Question 16

The number of elements in a set is COUNTABLE.

Answer 16

Finite Set

Question 17

Combines propositions using the keyword not. It states the opposite of the proposition

Answer 17

Negation

Question 18

It states that the two (2) given sets are identical, if and only if they contain EXACTLY THE SAME elements.

Answer 18

Set Equality

Question 19

The first proposition is called the _________ and the second proposition is the _________

Answer 19

Antecedent, Consequences

Question 20

It is any statement that is TRUE regardless of the truth values of the constituent parts

Answer 20

Tautology

Question 21

The combined propositions are formed as if-then statements

Answer 21

Implication

Question 22

Combines propositions using the keyword and. Would only be true if both initial propositions are true.

Answer 22

Conjunction

Question 23

A statement combining a conditional statement with its converse.

Answer 23

Biconditional

Question 24

It is a subset that is not equal to the set it belongs to

Answer 24

Proper Subset

Question 25

It is the idea that every proposition must be either true or false, not both and not neither.

Answer 25

Laws of Excluded Middle

Question 26

The propositions are negated.

Answer 26

Inverse

Question 27

It is the notion that things must be, of course, identical with themselves

Answer 27

Laws of identity

Question 28

It is a set contained in a larger set or in an equal set.

Answer 28

Subset

Question 29

The propositions are negated and interchanged

Answer 29

Contrapositive