The Earth is warming, but how much of it is caused by humans is under debate. The Earth is still coming out of an ice age, so it would be warming even without humans.
Also, the more important question is: how much will it accelerate based on our emissions? If there are no positive feedback loops, it would only warm up 1C maximum, no matter how much more CO2 we will emit. But because of the positive feedback loops (warmer earth -> more water evaporating -> more warming), this warming can trigger a 4-5C further warming. The feedback loops are just theoretical(you can't measure them empirically) and the quality of the estimations is based on our understanding and modelling of the climate.