Matthew 8:11-12 I tell you, many will come from east and west and recline at table with Abraham, Isaac, and Jacob in the kingdom of heaven, while the sons of the kingdom will be thrown into the outer darkness. In that place there will be weeping and gnashing of teeth."
“From east and west” indicates that people from all the nations will enjoy the salvation, and the blessings of God for eternity. “Sons of the kingdom” indicates the physical, historical lineage of the Hebrew nation. This indicates that a person’s ancestry has nothing to do with their eternal destination. Those who die in their sin will “be thrown into outer darkness”. We think we know darkness because we’ve been in a cave or a mine, but “outer darkness” will be unlike any darkness we could ever experience in this world. “Weeping and gnashing of teeth” indicates a grief and a torment that never subsides, of which there is never any relief, not even a moments rest from its agony.
Matthew 13:38-42 The field is the world, and the good seed is the sons of the kingdom. The weeds are the sons of the evil one, and the enemy who sowed them is the devil. The harvest is the end of the age, and the reapers are angels. Just as the weeds are gathered and burned with fire, so will it be at the end of the age. The Son of Man will send his angels, and they will gather out of his kingdom all causes of sin and all law-breakers, and throw them into the fiery furnace. In that place there will be weeping and gnashing of teeth.
Jesus is speaking of the believers and non-believers living in this world together, interacting in this world, but their will be a time when they will be separated for eternity. They are described as seed and weeds. The weeds, the non-believers, will be thrown “into the fiery furnace”.
Mark 9:47-48 And if your eye causes you to sin, tear it out. It is better for you to enter the kingdom of God with one eye than with two eyes to be thrown into hell, 'where their worm does not die and the fire is not quenched.'
“Worm does not die” and “fire is not quenched” is also an indicator of its eternal nature, there is no end to the torment for those who sinned against God and rejected the redemption available through the Blood of Jesus Christ.
Revelation 14:9-12 And another angel, a third, followed them, saying with a loud voice, "If anyone worships the beast and its image and receives a mark on his forehead or on his hand, he also will drink the wine of God's wrath, poured full strength into the cup of his anger, and he will be tormented with fire and sulfur in the presence of the holy angels and in the presence of the Lamb. And the smoke of their torment goes up forever and ever, and they have no rest, day or night, these worshipers of the beast and its image, and whoever receives the mark of its name." Here is a call for the endurance of the saints, those who keep the commandments of God and their faith in Jesus.
Rest is a blessing from God. For those who choose life, and ultimately death, apart from the redemption, reconciliation, and regeneration that comes from God through Christ, they are given exactly what they want – eternity without God or His blessings. In this world God is blessing both the believer and non-believer, but in eternity the non-believers will receive none of His blessings.
John 3:18 Whoever believes in him is not condemned, but whoever does not believe is condemned already, because he has not believed in the name of the only Son of God.
Skeptics often get “belief” backwards – they will say things like, “I am going to hell because I don’t believe in Jesus?” No, you are going to hell because you’ve sinned against God and you have refused to receive the gift He has offered to redeem you from the consequences of sin.
2Thessalonians 2:12 in order that all may be condemned who did not believe the truth but had pleasure in unrighteousness.
Hebrews 11:7 By faith Noah, being warned by God concerning events as yet unseen, in reverent fear constructed an ark for the saving of his household. By this he condemned the world and became an heir of the righteousness that comes by faith.
2Peter 2:6 if by turning the cities of Sodom and Gomorrah to ashes he condemned them to extinction, making them an example of what is going to happen to the ungodly;