Test 1 (1.1- 2.2)

Question 0

“Z”

Answer 0

-3,-2,-1,0,1,2,3… Integers

Question 1

“N”

Answer 1

1,2,3,4,5… Natural (counting) numbers

Question 2

“Q”

Answer 2

set of rational numbers

Question 3

“R”

Answer 3

set of real numbers

Question 4

p –> q
p
————
q

Answer 4

modus ponens

Question 5

p –> q

(not) q
- ———–
(not) p

Answer 5

modus tollens

Question 6

p –> q
q –> r
————
p –> r

Answer 6

transitivity

Question 7

p or q
(not) p
————
q

Answer 7

disjunctive syllogism

Question 8

p –> q

(not) p
- ———–
(not) q

Answer 8

*fallacy of denying the antecedent (argument ignores some possibilities)

Question 9

Discrete

Answer 9

finite answers

Question 10

continuous

Answer 10

variable answers

Question 11

statement (proposition)

Answer 11

a sentence that can be identified as true or false

Question 12

open sentence

Answer 12

would be identifiable if the variable was defined

Question 13

compound statement

Answer 13

new statement formed from simpler propositions using connectives

Question 14

conjunction

Answer 14

statement formed from p and q using AND

Question 15

disjunction

Answer 15

2 propositions formed by OR

Question 16

negation

Answer 16

the negation of p is not p

Question 17

logical contradiction

Answer 17

fake under all conditions

Question 18

tautology

Answer 18

true under all conditions

Question 19

not (p and q) ===== not p or not q

not (p or q) ===== not p and not q

Answer 19

DeMorgan’s Laws

Question 20

conditional

Answer 20

if p then q

Question 21

• variations on the conditional (p –> q):

q –> p

Answer 21

converse

Question 22

• variations on the conditional (p –> q):

not q –> not p

Answer 22

contrapositive

Question 23

• variations on the conditional (p –> q):

not p –> not q

Answer 23

inverse

Question 24

p q "p if and only if q"

Answer 24

Biconditional

Question 25

all, some, no, each, every --> statements involving these are ________?

Answer 25

quantifiers

Question 26

collection of objects or elements

Answer 26

set

Question 27

{1,2,3,4,5}

Answer 27

listing method

Question 28

A = { x | condition(s) }

Answer 28

set-builder notation

Question 29

proper subset

Answer 29

all subsets are included except the subset containing the set

Question 30

the set of elements that are in A or B or both

Answer 30

union

Question 31

the elements that are in both A and B

Answer 31

intersection

Question 32

_________ of a set is all the elements not in that set

Answer 32

complement

Question 33

consists of two components (1st, 2nd)

Answer 33

ordered pair

Question 34

A x B

Answer 34

Cartesian product