From the provided sources, it is evident that God's purpose for the world lies in eradicating evil and sin through the introduction of just punishment that has a corrective and instructive character.

Divine Justice Restoring Order

From the provided sources, it is evident that God's purpose for the world lies in eradicating evil and sin through the introduction of just punishment that has a corrective and instructive character. According to one of the authors, God intends to affect man with calamities and suffering to demonstrate the inevitability and power of His moral law, inscribed both in each person's conscience and on the pages of the Bible. If this law were universally observed, God's governance would be unassailable; however, because man, through his freedom, strays from Him, God resorts to punishment, which serves as a counterbalance to evil and sin. Thus, the cessation of the "madness" in the world appears to be linked to the restoration of order through the mechanism of punishment, which sustains the eternal power of the divine law and eventually provides the opportunity for the salvation of believers.

Supporting citation(s):"Do you notice the purpose that God has in subjecting people to calamities and suffering?

He wishes thereby to exercise a punishment aimed at countering evil and sin. God governs the world through laws. He has inscribed His moral law in the conscience and on the pages of the Bible. If the moral law were observed everywhere on earth, God's governance would be unassailable. Yet, God gave us freedom, serving as a safeguarding (a palladium of justice) and protection of the human spirit; upon the creation of spirits, He granted them the right to act against Him, to sin, and to turn away from everything. And now, the greatness of His administration (power and might) consists in the fact that, despite the increasing waywardness of man, He still governs them. How does He achieve the purpose of His governance? He employs punishment, thereby sustaining and empowering His law. Although other people are reluctant to listen to Him and believe in Him, it is nonetheless certain that if there were no sin in the world, there would be no suffering." (source: link txt)

A similar idea is repeated in another fragment:
"Do you notice the purpose that God has in subjecting people to calamities and suffering? He wishes thereby to exercise a punishment aimed at countering evil and sin. [It is further described in detail how the Divine law is maintained through punishment.]" (source: link txt)

Thus, the divine intention is to restore people to a true moral foundation through measured punishment and correction of those who violate the moral law—a plan which, by God's design, will lead to the cessation of chaos and madness in the world.