Five years ago Biblos posted something similar on here, about the three levels of heaven, basing it only on the Bible, quoting Bible verses to back him up. He did not give the Hebrew names for them, but the conclusion is the same.
, The Bible says Paradise is in the third heaven or where God dwells:
1st Heaven is Rakia to a Jew it is the atmospheric heaven found in Jer 8:7, 10:13
Isa 55:10. it is were the birds fly clouds, made on 2nd day
2nd heaven shamayim to a Jew it is the starry heaven found in Jer 44:17,25; Psalm 8:3
3rd heaven shemi Hashamayim it is the heaven where God dwells found in 1 Kings 8:27, Deut. 26:15, 2 Chron 6:33 Eccl. 5:2
This passage below says Paradise is in the third heaven
2 Corth 12:
1 It is doubtless not profitable for me to boast. I will come to visions and revelations of the Lord: 2 I know a man in Christ who fourteen years ago—whether in the body I do not know, or whether out of the body I do not know, God knows—such a one was caught up to the third heaven. 3 And I know such a man—whether in the body or out of the body I do not know, God knows—4 how he was caught up into Paradise and heard inexpressible words, which it is not lawful for a man to utter.
Rev 2:6 But this thou hast, that thou hatest the deeds of the Nicolaitanes, which I also hate. 7 He that hath an ear, let him hear what the Spirit saith unto the churches; To him that overcometh will I give to eat of the tree of life, which is in the midst of the paradise of God.
REV 22: 13 I am Alpha and Omega, the beginning and the end, the first and the last. 14 Blessed are they that do his commandments, that they may have right to the tree of life, and may enter in through the gates into the city.