We speak of predestination as God's eternal decree by which He compacted with Himself what He willed to become of each man. For all are not created in equal condition; rather eternal life is fore-ordained for some, eternal damnation for others.
(J. Calvin Book 3, xxi, p.5)
I posted these in another thread, most of them speak to the topic, and give a fuller view of John Calvin's view, than your post might suggest. So for your consideration a select few quotations:
From Calvin’s Commentaries:
Genesis 6:13 “This was, truly, a peculiar privilege of grace, that God warned Noah of the future deluge. Indeed,
he frequently commands his threatening to be proposed to the elect, and reprobate, in common; that by inviting both to repentance, he may humble the former, and render the latter inexcusable.”
Jeremiah 15:1 “Though then he extended his solicitude to the whole body of the people, he yet knew that there was a chosen seed.
So at this day, when we pray, we ought, according to the rule of charity, to include all, for we cannot fix on those whom God has chosen or whom he has rejected; and thus we ought, as far as we can, to promote the salvation of all; and yet we know, as a general truth, that many are reprobate for whom our prayers will avail nothing; we know this, and yet we cannot point out any one as by the finger. So then the prayer of Jeremiah was not useless; but in its very form, as they say, it was not heard, for he wished the whole people to be saved; but as God had resolved to destroy the ungodly, such as were beyond the reach of hope on account of their untamable obstinacy, Jeremiah obtained only in part what he prayed for, — that God would preserve his Church, which then was in a manner hidden.”
Isaiah 54:13 “Those only “who have been foreordained to life” (Acts 13:48) are sincerely teachable, and are entitled to be ranked among the disciples.
The Gospel is preached indiscriminately to the elect and the reprobate; but the elect alone come to Christ, because they have been “taught by God,” and therefore to them the Prophet undoubtedly refers.”
Ezekiel 2:3 “
Now, if any one objects that God acts cruelly while he so purposely blinds men, that those who are already sufficiently lost perish twice or thrice over, the answer is at hand — God offers his word indiscriminately to the good and bad, but it works by his Spirit in the elect, as I have already said; and as to the reprobate, the doctrine is useful, as it renders them without excuse. Next, that their obstinacy may be broken down — for since they refuse to yield willingly to God, it is necessary that they should yield when conquered — when, therefore, God sees the reprobate thus broken down, he strikes them with the hammer of his word. At length he takes away all excuse of ignorance, because being convicted of their own conscience, whether they will or not, they become their own judges, and their mouth is stopped.”
Matthew 15:13 “
To those who willingly perish the Gospel thus becomes, as Paul assures us, the savor of death unto death, (2 Corinthians 2:16) for, though it is offered to all for salvation, it does not yield this fruit in any but the elect.”
John 3:16 “And he has employed the universal term whosoever, both to invite all indiscriminately to partake of life, and to cut off every excuse from unbelievers. Such is also the import of the term World, which he formerly used; for though nothing will be found in the world that is worthy of the favor of God, yet he shows himself to be reconciled to the whole world, when he invites all men without exception to the faith of Christ, which is nothing else than an entrance into life. Let us remember, on the other hand, that while life is promised universally to all who believe in Christ, still faith is not common to all. For Christ is made known and held out to the view of all, but the elect alone are they whose eyes God opens, that they may seek him by faith.” (I left this quote in my list just for you, since you created a thread on this verse recently)
John 7:37 “Yet it is highly useful to us, that the Evangelist introduces Christ exclaiming aloud, Let all who thirst come to me. For we infer from it that the invitation was not addressed to one or two persons only, or in a low and gentle whisper, but
that this doctrine is proclaimed to all, in such a manner that none may be ignorant of it, but those who, of their own accord shutting their ears, will not receive this loud and distinct cry.”
Romans 1:16 “The gospel is indeed offered to all for their salvation, but the power of it appears not everywhere: and that it is the savor of death to the ungodly, does not proceed from what it is,
but from their own wickedness.”
I especially like his commentary on Jer 15:1.