Same in nature, I'll try to briefly explain why I believe that.
First death is spiritual death, not separation from God:
Genesis 2:17
17But of the tree of the knowledge of good and evil, thou shalt not eat of it: for i
n the day that thou eatest thereof
thou shalt surely die.
Adam and Eve did not physically die on the day they ate fruit, nor did God separate Himself from hem. He made clothes for them and continued interacting with their descendants through history.
Second death occurs after the first resurrection:
John 5:28-29
28Marvel not at this: for the hour is coming, in the which all that are in the graves shall hear his voice,
29And shall come forth; they that have done good, unto the resurrection of life; and
they that have done evil, unto the resurrection of damnation.
Revelation 20:14-15
14And death and hell were cast
into the lake of fire. This is the second death.
15And
whosoever was not found written in the book of life was cast into the lake of fire.