noun

disagreement between people.

a prosperous family who showed no signs of discord

strife,conflict,friction,hostility,disagreement,lack of agreement,dissension,dispute,difference of opinion,discordance,disunity,division,incompatibility,variance,antagonism,antipathy,enmity,opposition,bad feeling,ill feeling,bad blood,argument,quarrelling,squabbling,bickering,wrangling,feuding,contention,clashing,falling-out,war,vendetta,jar,disaccord

verb

(of people) disagree.

we discorded commonly on two points