to give reasons for or against something; to reason
to contend or disagree in words; to bicker or quarrel
to give evidence of (something); to indicate
to prove or seek to prove (something) by giving reasons; to maintain
to persuade (somebody) by giving reasons
They argued him out of going
to give reasons or arguments in favour of (something)
His letter argues restraint
argue the toss
chiefly Brit, informal to dispute a decision that has already been made
arguer noun
[Middle English arguen via Old French from Latin arguere to make clear]