Just to clarify: The terms "death" and "dead" in Scripture have more than one meaning, as do many of the words found in Scripture. It is...convenient for the annihilationist to restrict the meaning of "death" to utter destruction/annihilation, but this is playing fast-and-loose with Scripture, I think. Here are some verses that illustrate that "dead" or "death" in the Bible have a variety of meanings:
Ephesians 2:1 "...dead in trespasses and sins..." - Neither physical death nor destruction are in view in this phrase, but a spiritual condition.
Colossians 3:3 - "For you are dead and your life is hid with Christ in God." - Again, here "dead" is used of a spiritual condition, not of a state of annihilation or destruction.
Revelations 3:1 "...you have a name that you are alive, but you are dead." - Here, too, "dead" is not used to refer to physical death or annihilation but to a spiritual state.
James 2:17 "Thus also faith, by itself, if it have not works, is dead." - In this instance, "dead" means something like "inoperative," or "inactive," literally "failing to produce works."
Adam and Eve "died" on the day they ate of the Forbidden Fruit, but their dying was not a literal physical death and it certainly wasn't annihilation that they experienced, but, rather, separation from God. (Isaiah 59:2) W.E. Vine comments:
"Death is the opposite of life; it never denotes non-existence. As spiritual life is "conscious existence in communion with God," so spiritual death is "conscious existence in separation from God.
Death...is always, in Scripture, viewed as the penal consequence of sin..."
(Vine's Expository Dictionary of Old and New Testament Words, pg. 276)
Romans 8:13 "..if through the Spirit you put to death the deeds of the body, you shall live..." Annihilation or destruction is not meant here by "death" but the halting or cessation of the sinful deeds of the body.
What, then, should be made of the phrase "second death"? Is it speaking of destruction and/or annihilation? Well, the first death doesn't mean this. If "death" means "annihilation," how is a second death possible? "Death" under such a definition would mean that at the first death, the body winks out of existence. But there's usually a corpse and a grave, and, the Bible tells us, judgment of the person to follow. Clearly, then, "death" doesn't mean "annihilation" - not in the instance of the death of the physical body, nor in the instance of the ruination of the unrepentant sinner suffering the "second death" in hell. Primarily, "death," communicates separation, as Vine explained in the quotation above - the soul/spirit from the body at the first death, and the sinner from his Maker at the second death.