postulates chapter 2

Question 1

conditional statement

Answer 1

A conditional statement, symbolized by p - q, is an if-then statement in which p is a hypothesis and q is a conclusion

Question 2

converse

Answer 2

a statement formed by negating the hypothesis and the conclusion q-p

Question 3

inverse

Answer 3

a statement formed by negating the hypothesis and the conclusion -p - -q

Question 4

contrapositive

Answer 4

a statement formed by exchanging and negating the hypothesis and conclusion -q - -p

Question 5

when is a conditional statement have a false truth value

Answer 5

a conditional statement is false when the hypothesis/p is true and the conclusion/q is false

Question 6

deductive reasoning

Answer 6

the process of using logic to draw conclusions from facts and properties

Question 7

inductive reasoning

Answer 7

the process of reasoning that a rule or statement is true because of specific cases that are true.
assumptions based on patterns

Question 8

conjecture

Answer 8

a statement believed to be true based on inductive reasoning

Question 9

counterexample

Answer 9

to show a conjecture is false you prove it with counterexamples

Question 10

law of detachment

Answer 10

if p - q is true statement and p is true then q is true

Question 11

law of syllogism

Answer 11

if p - q and q - r are true statements, then p - r is a true statement

Question 12

biconditional statements

Answer 12

combining a statement and its converse creates a biconditional statement. this can be shown as p iff q