Not only has solo scriptura contributed heavily to this division and sectarianism, it can offer no possible solution. Solo scriptura is the ecclesiastical equivalent of a nation with a constitution but no court of law to interpret that constitution. Both can lead to chaos. At best solo scriptura can offer an abstract doctrinal statement to the effect that “Scripture” is the sole authority. But using Scripture alone, it cannot tell us what “Scripture” is or what it means. It simply cannot resolve differences of interpretation, and the result is more and more division and schism. The resolution of theological differences requires the possibility of authoritatively defining the propositional doctrinal content of Christianity, and it requires the possibility of an authoritative ecclesiastical “Supreme Court." Since neither of these possibilities are allowed within the framework of solo scriptura, there can be no possibility of solution.
Solo scriptura also undermines the legitimate ecclesiastical authority established by Christ. It negates the duty to submit to those who rule over you, because it removes the possibility of an authoritative teaching office in the Church. To place any kind of real hermeneutical authority in an elder or teacher undermines the doctrine of solo scriptura. Those adherents of solo scriptura who do have pastors and teachers to whom they look for leadership do so under the stipulation that the individual is to evaluate the leader’s teaching by Scripture first. What this means in practice is that the individual is to measure his teacher’s interpretation of Scripture against his own interpretation of Scripture. The playing field is leveled when neither the ecumenical creeds nor the Church has any more authority than the individual believer, but Christ did not establish a level playing field. He did not establish a democracy. He established a Church in which men and women are given different gifts, some of which involve a special gift of teaching and leading. These elders have responsibility for the flock and a certain authority over it. Scripture would not call us to submit to those who had no real authority over us (Heb. 13:17; Acts 20:28). [emphasis mine]
Elsewhere in the article, Mathison points out that those who appeal to the Bereans of Acts 17 as Scriptural evidence of the primacy of the individual over the preached Word ought to realize that Acts 17 comes after Acts 15, where the council of the church decided what the Scriptures taught regarding circumcision and handed their decision down as authoritative. Again, the Scriptures lead us to seek balance. Real authority, the primacy of preaching yet maintaining the practice of submissive discernment.