Sean Gerety at God’s Hammer in his article Janus Alive and Well says,

“While at times “well meant offer” defenders appear to be Calvinistic in their belief in God’s sovereign election and particular atonement, they also maintain a belief in the universal desire of God for the salvation of those God predestined to perdition; the reprobate.  It is this combination of particularism and pluralism, or simply Calvinism and Arminianism, that make up the two faces of Janus.”

This is a typical misrepresentation of the Puritan view. The Free Church of Scotland (cont.) has a great reference section on this issue called “The Will of God and the Gospel Offer”. You can reference this here: I would like to draw your attention to the article titled: The Will of God and the Gospel Offer: Samuel Rutherford and Francis Turretin. Though Sean thinks reading  John Murray, Bahnsen, Van Til,  Hoeksema , James Anderson and (Janus man) Professor Clark is sufficient to understand the Puritans  I would rather keep my nose in the 17th century and read their own unfiltered words. A few juicy quotes for you from Turretin:

“(Institutes of Elenctic Theology, topic XV, question II, paragraphs XIV-XVI and XXI, trans. George Musgrave Giger, ed. James T. Dennison, Jr., Phillipsburg, N.J.: Presbyterian and Reformed Publishing Company, 1992-97, vol. 2, pp. 507-09, reproduced with kind permission of the publishers*)”

“XIV. Although God does not intend the salvation of the reprobate by calling them, still he acts most seriously and sincerely; nor can any hypocrisy and deception be charged against him — neither with respect to God himself (because he seriously and most truly shows them the only and most certain way of salvation, seriously exhorts them to follow it and most sincerely promises salvation to all those who do follow it [to wit, believers and penitents]; nor does he only promise, but actually bestows it according to his promise); nor as to men because the offer of salvation is not made to them absolutely, but under a condition and thus it posits nothing unless the condition is fulfilled, which is wanting on the part of man. Hence we cordially embrace what is said on this subject by the fathers of the Synod of Dort: “As many as are called through the gospel are seriously called. For God shows seriously and most truly in his word, what is pleasing to him, to wit, that the called should come to him. He also seriously promises to all who come to him and believe rest to their souls and eternal life” (“Tertium et Quartum: De Hominis Corruptione et Conversione,” 8 Acta Synodi Nationalis . . . Dordrechti[1619-20], 1:[302]).”

So I reject Sean’s gloss that we assert that God desires the salvation of the reprobate. Read the rest of the article. No doubt the issue of the Divine Will will be requested and I have prepared an article here. The solution to these debates is a denial of the Neo-Platonic doctrine of Divine Simplicity so we can even see parts/real distinctions in God’s will. The free offer in Turretin is no paradox, it makes perfect sense.

Sean and Co.’s rejection of this is yet again the Origenism and  Monothelitism that I have been writing on. Remember folks, in Monothelitism, the Divine Will is the only will in Christ which is heresy! Our Salvation on the Monothelite view was UNCONDITIONAL whether the human will, willed to die for our sins or not he was compelled and forced by the Divine Will.  On the Orthodox view the human will of Christ submitted itself freely to the Divine Will  and it did so with great agony. In Gethsemane Christ sweats drops of blood and says, “Not my will, but thine be done”. TWO WILLS! Sean’s Hypercalvinism makes salvation unconditional, the Covenant of Grace unconditional, allows no Permissive Decrees (directly contrary to WCF 6.1), and no Free Offer of the Gospel contingent on Man’s Agency. Why? Because Sean, though he may not want to believe it, at least implies a Monthelitism. Monothelitism means “One Will”, and this is the Divine Will. That sounds pious doesn’t it? At first glimpse there seems to be a wisdom to it, a submission to God’s plan, but underneath that thin veil of piety is a viper. People leave so called “Reformed” Churches for Eastern Orthodoxy  because of this issue quite frequently and I am about sick of having to re-eductate x-Hyper Calvinists in Eastern Orthodox Churches.

Concerning an Orthodox view of the Will and Permissive Decrees from a Calvinist position see Girardeau here and here.