Amyraldism Or Four Point Calvinism

Matthew 24
31 And he shall send his angels with a great sound of a trumpet, and they shall gather together his elect from the four winds, from one end of heaven to the other.

This post is about a Calvinist theology that rejects Limited Atonement, one of Calvin's five points.

From Hodge's Systematic Theology:
According to the common doctrine of Augustinians, as expressed an the Westminster Catechism, “God, having . . . . elected some to everlasting life, did enter into a covenant of grace, to deliver them out of the estate of sin and misery, and to bring them into an estate of salvation by a Redeemer.” In opposition to this view some of the Reformed theologians of the seventeenth century introduced the scheme which is known in the history of theology as the doctrine of hypothetical redemption. The principal advocate of this doctrine was Amyraut (died 1664), Professor in the French Protestant Seminary at Saumur. He taught, (1.) That the motive impelling God to redeem men was benevolence, or love to men in general. (2.) From this motive He sent His Son to make the salvation of all men possible. (3.) God, in virtue of a decretum universale hypotheticum, offers salvation to all men if they believe in Christ. (4.) All men have a natural ability to repent and believe. (5.) But as this natural ability was counteracted by a moral inability, God determined to give his efficacious grace to a certain number of the human race, and thus to secure their salvation. This scheme is sometimes designated as “universalismus hypotheticus.” It was designed to take a middle ground between Augustinianism and Arminianism.

From Wikipedia, Amyraldism:
Amyraldism (or sometimes Amyraldianism, the School of Saumur, hypothetical universalism, or Post Redemptionism), also known as "hypothetical universalism" or "four-point Calvinism", primarily refers to a modified form of Calvinist theology. It rejects one of the Five points of Calvinism, the doctrine of limited atonement, in favour of an unlimited atonement similar to that of Hugo Grotius. Simply stated, Amyraldism holds that God has provided Christ's atonement for all alike, but seeing that none would believe on their own, he then elected those whom he will bring to faith in Christ, thereby preserving the Calvinist doctrine of unconditional election. Named after its formulator Moses Amyraut, this doctrine is still viewed as a variety of Calvinism in that it maintains the particularity of sovereign grace in the application of the atonement. However, detractors like B. B. Warfield have termed it "an inconsistent and therefore unstable form of Calvinism."

I am just not that sure about Limited Atonement, Calvin's fifth point.  The above quote from Hodge is kind of tortured. The Wikipedia treatment of the issue is easier to understand, but I'm not sure Wikipedia is a great source of theology.

Anyway, I still haven't made up my mind on this point of Calvinism. I have no doubts about the other four points of Calvinism. Over the years I've come to agree with them.