4 relationships between statements
consistency (consistent)
when 2 statements can both be true at the same time
inconsistency (inconsistent)
when there is a conflict between 2 statements so they cannot both be true at the same
time
implication
when the truth of 1 statement requires the truth of the other.
logical equivalence
when 2 statements imply each other (the statements must both be true or both be false)
independence
when the truth or falsity of 1 statement has no effect on the truth or falsity of the other