2. A far better explanation is given by Dr. A. A. Hodge in the following question and answer:
“Ques. 17. State first negatively, and then positively, the true doctrine as to the design of the Father and the Son in providing satisfaction.”
“I. Negatively–1st. There is no debate among Christians as to the sufficiency of that satisfaction to accomplish the salvation of all men, however vast the number. This is absolutely limitless. 2d. Nor as to its applicability to the case of any and every possible human sinner who will ever exist. The relations of all to the demands of the law are identical. What would save one would save another. 3d. Nor to the bona fide character of the offer which God has made to ‘whomsoever wills’ in the gospel. It is applicable to every one, it will infallibly be applied to every believer. 4th. Nor as to its actual application. Arminians agree with Calvinists that of adults only those who believe are saved, while Calvinists agree with Arminians that all dying in infancy are redeemed and saved. 5th. Nor is there any debate as to the universal reference of some of the benefits purchased by Christ. Calvinists believe that the entire dispensation of forbearance under which the human family rests since the fall, including for the unjust as well as the just temporal mercies and means of grace, is part of the purchase of Christ’s blood. They admit also that Christ did in such a sense die for all men, that he thereby removed all legal obstacles from the salvation of any and every man, and that his satisfaction may be applied to one man as well as to another ‘if God so wills it.'”
James P. Boyce, Abstract of Systematic Theology (Florida: Den Dulk Foundation, n.d.), 338.