Chapter 2 Math Language and Symbols

It is a well-defined collection of objects

• universe

• set

• member

It is a fact, name, or usage generally agreed upon by mathematicians.

• mathematical symbol

• mathematical language

• mathematical convention

• mathematical syntax

This is a method of writing sets where the elements are enumerated and separated by a comma.

• rule method

• set-builder notation

• listing method

• roster method

It tells how many elements there are in a set.

• union

• intersection

• universality

• cardinality

Aside from the set itself, this is always a subset of any given set.

• universal set

• empty set

• unit set

• proper subset

The four properties that must be satisfied in order for a set to be a group are closure, identity, inverse, and ____.

• associative

• commutative

• symmetric

• reflexive

In a conditional statement, the only time the statement is false is when the hypothesis is ____ and the conclusion is ____.

• False, True

• False, False

• True, False

• True, True

This compound statement uses the symbol v.

• biconditional

• conditional

• conjunction

• disjunction

What is the truth value of "p if and only q" given p is false and q is false?

• true

• false

which of the following is not a translation of the existential quantifier?

• there is some

• given any

• such that

• for at least pne