Personally, I find this a very compelling question, though it's heavily studied and there are serious and bellicose advocates on all sides.
I apologize if this turns out to attract some sharp or shallow responses attacking different sides of the argument. I'm not really interested in attacks. I'm more interested in the models that are proposed, and how they are progressing. I find it sad that some models only progress by attacking other sides, too. I'll express my disdain when that kind of argument appears. I hope you'll do the same -- nicely -- even when you see something of the same growing in my posts.
There are a few ways of dealing with this issue historically, but I think there are also some developments today that move things along. So I'll try to describe some of the theories and their progressions.
Satisfaction Theory -- the idea that the Crucifixion is required to make restitution for sin. Sin is seen as a massive offense against an infinite God.
Penal Substitutionary Atonement is a development from Satisfaction Theory that builds on substitutionary imputation to satisfy the sentence for sin on someone else's account.
Governmental Theory essentially develops from this, but moves far afield from Satisfaction theory in that Christ's Crucifixion is a demonstration to people of God's opposition and pending destruction of sin, but not a particular atonement of individuals. It's a setting-up of a group, a communion (that is, Christ's Church), under which people who are accepted into this group are rescued through the Crucifixion.
Ransom Theory -- the idea that the Crucifixion is required to release people from their captivity to death.
Christus Victor Theory seems to develop ransom theory in another line I think away from the concept of "ransom", pointing out that the death of Christ as a criminal would inevitably lead Him into the stronghold of humanity's captivity in sin and death, only to burst its chains through His power.
There're more, and obviously I'm not going to detail them all nor lay claim to advocating them all: I'm merely setting out those I've seen as far as I understand them, which is not in depth -- that's for advocates to describe.
I apologize if this turns out to attract some sharp or shallow responses attacking different sides of the argument. I'm not really interested in attacks. I'm more interested in the models that are proposed, and how they are progressing. I find it sad that some models only progress by attacking other sides, too. I'll express my disdain when that kind of argument appears. I hope you'll do the same -- nicely -- even when you see something of the same growing in my posts.
There are a few ways of dealing with this issue historically, but I think there are also some developments today that move things along. So I'll try to describe some of the theories and their progressions.
Satisfaction Theory -- the idea that the Crucifixion is required to make restitution for sin. Sin is seen as a massive offense against an infinite God.
Penal Substitutionary Atonement is a development from Satisfaction Theory that builds on substitutionary imputation to satisfy the sentence for sin on someone else's account.
Governmental Theory essentially develops from this, but moves far afield from Satisfaction theory in that Christ's Crucifixion is a demonstration to people of God's opposition and pending destruction of sin, but not a particular atonement of individuals. It's a setting-up of a group, a communion (that is, Christ's Church), under which people who are accepted into this group are rescued through the Crucifixion.
Ransom Theory -- the idea that the Crucifixion is required to release people from their captivity to death.
Christus Victor Theory seems to develop ransom theory in another line I think away from the concept of "ransom", pointing out that the death of Christ as a criminal would inevitably lead Him into the stronghold of humanity's captivity in sin and death, only to burst its chains through His power.
There're more, and obviously I'm not going to detail them all nor lay claim to advocating them all: I'm merely setting out those I've seen as far as I understand them, which is not in depth -- that's for advocates to describe.