Question: Does the Book of Life mean Calvinists are right?

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Question: Why does Revelation:17:8The beast that thou sawest was, and is not; and shall ascend out of the bottomless pit, and go into perdition: and they that dwell on the earth shall wonder, whose names were not written in the book of life from the foundation of the world, when they behold the beast that was, and is not, and yet is.
See All... (and maybe Revelation:13:8And all that dwell upon the earth shall worship him, whose names are not written in the book of life of the Lamb slain from the foundation of the world.
See All..., depending on the translation used) refer to those “whose names were not written in the book of life from the foundation of the world...”? Could that, coupled with Psalm:69:28Let them be blotted out of the book of the living, and not be written with the righteous.
See All..., Revelation:3:5He that overcometh, the same shall be clothed in white raiment; and I will not blot out his name out of the book of life, but I will confess his name before my Father, and before his angels.
See All..., and Revelation:22:19And if any man shall take away from the words of the book of this prophecy, God shall take away his part out of the book of life, and out of the holy city, and from the things which are written in this book.
See All... mean that the names of all mankind are in the Book of Life, then later blotted out one by one as each Christ-rejecter crosses the line of final renunciation? I always thought that only after we believed the gospel were our names written in the Book of Life. If this were not the case, wouldn’t Calvinists say, “See! He has already chosen those whom He will save; their names are already written down before the foundation of the earth!”?

Response: Several verses speak of God blotting or not blotting names out of the book of life: “I will not blot out his name out of the book of life” (Rv 3:5); “God shall take away his part out of the book of life” (Rv 22:19); “...if thou wilt forgive their sin—; and if not, blot me, I pray thee, out of thy book which thou hast written.... Whosoever hath sinned against me, him will I blot out of my book” (Ex 32:32-33)...

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