The Greek word for paradise is G3827 παράδεισος. It appears 27 times in LXX.
Brenton Septuagint Translation, Genesis 2:
In the NT, G3827 appears only three times.
Jesus told the repentant thief on the cross in Luk 23:
The word heaven is general and polysemantic, while paradise, more specifically, refers to some form of heaven with a physical reality.
Brenton Septuagint Translation, Genesis 2:
A paradise seems to be some concept of heaven with physicality.8 And God planted a garden [G3827 ] eastward in Edem, and placed there the man whom he had formed.
In the NT, G3827 appears only three times.
Jesus told the repentant thief on the cross in Luk 23:
Paul seemed to equate Paradise to 3rd heaven in 2 Corinthians 12:43 And he said to him, “Truly, I say to you, today you will be with me in paradise.”
John alluded to Genesis 2 with Rev 2:2 I know a man in Christ who fourteen years ago was caught up to the third heaven. Whether it was in the body or out of it I do not know, but God knows. 3 And I know that this man—whether in the body or out of it I do not know, but God knows— 4 was caught up to Paradise. The things he heard were too sacred for words, things that man is not permitted to tell.
In the future, we will live in a renewed version of the Garden of Eden/paradise.7 He who has an ear, let him hear what the Spirit says to the churches. To the one who conquers I will grant to eat of the tree of life, which is in the paradise of God.’
The word heaven is general and polysemantic, while paradise, more specifically, refers to some form of heaven with a physical reality.