Definify.com
Webster 1913 Edition
Argue
Ar′gue
,Verb.
 I.
 [
imp. & p. p. 
Argued
; p. pr. & vb. n. 
Arguing
.] [OE. 
arguen
, F. arguer
, fr. L. argutare
, freq. of arguere 
to make clear; from the same root as E. argent
.] 1. 
To invent and offer reasons to support or overthrow a proposition, opinion, or measure; to use arguments; to reason. 
I 
Against Heaven’s hand or will.
argue 
notAgainst Heaven’s hand or will.
Milton.
2. 
To contend in argument; to dispute; to reason; – followed by with; 
 as, you may 
. argue 
with your friend without convincing himAr′gue
,Verb.
 T.
 1. 
To debate or discuss; to treat by reasoning; 
as, the counsel 
 argued 
the cause before a full court; the cause was well argued
.2. 
To prove or evince; too manifest or exhibit by inference, deduction, or reasoning. 
So many laws 
argue 
so many sins. Milton.
3. 
To persuade by reasons; 
as, to 
. argue 
a man into a different opinion4. 
To blame; to accuse; to charge with. 
[Obs.] 
Thoughts and expressions . . . which can be truly 
argued 
of obscenity, profaneness, or immorality. Dryden.
Syn. – to reason; evince; discuss; debate; expostulate; remonstrate; controvert. 
 – To 
Argue
, Dispute
, Debate
. These words, as here compared, suppose a contest between two parties in respect to some point at issue. To argue is to adduce arguments or reasons in support of one's cause or position. To dispute is to call in question or deny the statements or arguments of the opposing party. To debate is to strive for or against in a somewhat formal manner by arguments. Men of many words sometimes 
argue 
for the sake of talking; men of ready tongues frequently dispute 
for the sake of victory; men in public life often debate 
for the sake of opposing the ruling party, or from any other motive than the love of truth. Crabb.
Unskilled to 
Bold without caution, without honors proud.
argue
, in dispute 
yet loud,Bold without caution, without honors proud.
Falconer.
Betwixt the dearest friends to raise 
debate
. Dryden.
Webster 1828 Edition
Argue
'ARGUE
,Verb.
I.
  1.
  To reason; to invent and offer reasons to support or overthrow a proposition, opinion or measure; as, A argues in favor of a measure; B argues against it.2.
  To dispute; to reason with; followed by with; as, you may argue with your friend, a week, without convincing him.'ARGUE
, v.t.1.
  To debate or discuss; to treat by reasoning; as, the counsel argued the cause before the supreme court; the cause was well argued.2.
  To prove or evince; to manifest by inference or deduction; or to show reasons for; as, the order visible in the universe argues a divine cause.3.
  To persuade by reasons; as, to argue a man into a different opinion.4.
  Formerly, to accuse or charge with; a Latin sense, now obsolete; as, to argue one of profaneness.