More correctly, both Hades and Abraham's Bosom were in Sheol. (the grave, the pit, a place of the dead)
Greetings brother, what you say here is correct, Shoel was the OT word, Abraham's bosom is referred to in the OT and the NT, Hades is more a NT word though.
Hades and Shoel are the same definition in that they refer to, the dwelling place of the dead, saved and unsaved, both not both in the same section, there is a great gulf between Paradice and Torment parts or sections.
Luke 16:22; So it was that the beggar died, and was carried by the angels to Abraham's bosom. [G2859] The rich man also died and was buried.
Luke 16:23; And being in torments in Hades, he lifted up his eyes and saw Abraham afar off, and Lazarus in his bosom.
Luke 16:26; And besides all this, between us and you there is a great gulf fixed, so that those who want to pass from here to you cannot, nor can those from there pass to us.'
The thought here is that Sheol is shaped like a "T" with Abraham Bosom on one side, and Hades on the other side with a great chasm/canyon between them.
There is some debate over whether Abraham's Bosom is Paradise. Jesus told the thief on the cross he would be in Paradise (not Heaven)
Luke 16:22-26 KJV
22 And it came to pass, that the beggar died, and was carried by the angels into
Abraham’s bosom [G2859]: the rich man also died, and was buried;
23 And in
hell [G86 Hades not Hell] he lift up his eyes, being in torments, and seeth Abraham afar off, and Lazarus in his
bosom [G2859].
24 And he cried and said, Father Abraham, have mercy on me, and send Lazarus, that he may dip the tip of his finger in water, and cool my tongue; for I am tormented in this flame.
25 But Abraham said, Son, remember that thou in thy lifetime receivedst thy good things, and likewise Lazarus evil things: but now he is comforted, and thou art tormented.
26 And beside all this, between us and you there is a great gulf fixed: so that they which would pass from hence to you cannot; neither can they pass to us, that would come from thence.
Luke 16:22-26 NKJV
22 So it was that the beggar died, and was carried by the angels to
Abraham’s bosom [G2859]. The rich man also died and was buried.
23 And being in torments in
Hades [G86], he lifted up his eyes and saw Abraham afar off, and Lazarus in his
bosom [G2859].
24 “Then he cried and said, ‘Father Abraham, have mercy on me, and send Lazarus that he may dip the tip of his finger in water and cool my tongue; for I am tormented in this flame.’
25 But Abraham said, ‘Son, remember that in your lifetime you received your good things, and likewise Lazarus evil things; but now he is comforted and you are tormented.
26 And besides all this, between us and you there is a great gulf fixed, so that those who want to pass from here to you cannot, nor can those from there pass to us.’
The Greek word for Hades is G86
The Hebrew word for Shoel is H7585
Strong's Concordance
SHOEL: underworld (place to which people descend at death)
Original Word: שְׁאוֹל
Part of Speech: Noun Feminine
Transliteration: sheol
Phonetic Spelling: (sheh-ole')
Definition: underworld (place to which people descend at death)
Shoel and Hades both refer to 'the dwelling place of dead' also called 'the underworld'
Luke 23:43; And Jesus said to him, "Assuredly, I say to you, today you will be with Me in Paradise."
Paradise here is
Greek Strong's Number: 3857
Greek Word: παράδεισος
Transliteration: paradeisos
a park, i.e. (special) an Eden (place of future happiness, “ paradise”) :- paradise.
However Paul says he went to the 3rd heaven, which he called Paradise.
2Cor 12:2; 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.
2Cor 12:3; And I know such a man—whether in the body or out of the body I do not know, God knows—
2Cor 12:4; how he was caught up into Paradise and heard inexpressible words, which it is not lawful for a man to utter.
This is an interesting one brother, thank you for raising it. It is also quite a confusing one.
Allow me to also add
John 3:3 & 5 KJV
3
Jesus answered and said unto him, Verily, verily, I say unto thee, Except a man be born again,
he cannot see the kingdom of God.
5
Jesus answered, Verily, verily, I say unto thee, Except a man be born of water and of the Spirit,
he cannot enter into the kingdom of God.
Verily, Verily (double emphasis) very very import Jesus said.
So was Paul an exception to the rule, or more likely, I think, he was 'Caught up - In the Spirit'
Hades and Shoel refer to the place of waiting for disembodied spirits, a waiting place awaiting judgement, awaiting Resurrection Day.
Paradise in 2 Cor 12:4 is the same as previous... G3857
Shalom