You don't believe in "eternal life"? Exact same Greek word.The word forever does not always mean what you want it to. See Exodus 21:6, 1 Samuel 1:22, Jonah 2:6.
The word “eternal” (Hebrew ‘olam; Greek aion, aionios) carries different meanings, depending on the immediate context. For example, when associated with God (Deut. 33:27, “everlasting”), the word expresses His eternity. When related to human beings (Exod. 21:6, “forever”), the word is limited by their life span. When qualifying fire (Matt. 18:8, Matt. 25:41, “everlasting”), it implies that the fire will not go out until it fully consumes what is being burned. This means that the “eternal fire” will be eternal in the sense that it will consume the wicked completely and irreversibly, leaving them “ ‘neither root nor branch’ ” (Mal. 4:1, NKJV).
The theory of an everlasting punishment of the wicked has serious implications. If the wicked are punished forever, then evil will never be eradicated. Also, all human life derives from God (Deut. 32:39, Ps. 36:9), who has “ ‘ “no pleasure in the death of the wicked” ’ ” (Ezek. 33:11, NKJV). Why then would He continue to grant life to the wicked to suffer in endless torment? Would it not be much more reasonable for Him just to end their existence? If the wicked will be punished “according to their works” (Rev. 20:12, NKJV), why then should a short human life be punished endlessly?
Matthew 25
46 And these will go away into eternal punishment, but the righteous into eternal life.