We may be debating popular Christianity, but c'mon guys.

There are 4 words translated into Hell in the Bible. Shoel and Gehenna in the Old Testament and Hade and Tartarus in the New Testament.

Hell is a Norse concept, actually named Helheim for Hel, the Norse goddess of the underworld. In fact, Helheim is where oathbreakers and basically anyone who didn't die in battle go.

Sheol is relatively nondescript, Gehenna is specifically mentioned as a destination for trash (and some snakes, according to Yeshua ben Yosef), Hades is effectively undefined, though since the New Testament was written in Greek, it was likely used as a blanket reference to the afterlife or underworld. Note that Hades is the only destination for the dead in Greek mythology, and encompasses paradise and eternal torment. Tartarus, located below Hades, is home to the mythological creatures which have special punishment, such as Sisyphus, who, according to legend, is and will be rolling a big rock around for all eternity.

Revelations 20:10-15, NIV:

And the devil, who deceived them, was thrown into the lake of burning sulfur, where the beast and the false prophet had been thrown. They will be tormented day and night for ever and ever.

Then I saw a great white throne and him who was seated on it. Earth and sky fled from his presence, and there was no place for them. And I saw the dead, great and small, standing before the throne, and books were opened. Another book was opened, which is the book of life. The dead were judged according to what they had done as recorded in the books. The sea gave up the dead that were in it, and death and Hades gave up the dead that were in them, and each person was judged according to what he had done. Then death and Hades were thrown into the lake of fire. The lake of fire is the second death. If anyone's name was not found written in the book of life, he was thrown into the lake of fire.

Note: The lake of fire is the second death.

Sheol or wherever we "supposedly" go when we die, according to the bible, would be Purgatory. Purgatory isn't an irrational concept. It's just a new name for the first death.