I would never take back someone who cheated and I can't say I understand the people who do. I would forgive in the sense that I wouldn't carry hate in my heart or wish anything bad happened to them, but I would never get back with them. Cheating doesn't inherently make you a bad person, but I think continuous lying and deceiving someone you "love" does. People can obviously change and learn from it which I hope they do. A good friend of mine cheated once on his ex, he felt true remorse and confessed himself the next day, they broke up and he focussed on himself and became a better person