  In Elementary Math, Lackey finds it implausible that she should become less confident that 2+2=4, never mind to split the difference with her interlocutor and suspend judgment about the matter. In other words, the claim is that the Equal Weight Views gives the wrong verdicts in what we might call cases of ‘extreme disagreement’. What justifies treating Elementary Math differently than the Restaurant Check Case? According to Lackey, if prior to discovering the peer disagreement you are highly justified in believing the soon to be disputed proposition, then upon discovering the peer disagreement little to no conciliation is called for. So, since Lackey is highly justified in believing that 2+2=4 prior to talking to her colleague, not conciliation is called for, but since Christensen was not highly justified in believing that the shares are $43 prior to discovering the disagreement, a great deal of conciliation is called for. According to the Justificationist View, one’s antecedent degree of justification determines the rational response to peer disagreement. Strong antecedent justification for believing the target proposition matters since when coupled with the discovered disagreement you now have reasons to believe your interlocutor is not your peer after all. In Elementary Math, Lackey should significantly revise her views about her colleague’s epistemic position regarding elementary math. In contrast, the Restaurant Check Case calls for no similar demotion. This difference is explained by the differing degrees of antecedent justification.