Man-made global warming is the issue of whether humans are adding enough energy to the global system to result in 'warming'. This is debatable.
we're added green house gases, which allow the atmosphere to retain more energy
Of course we have and are. But is it enough to result in drastic global climate change to an extent that our lives will be directly impacted? I think it is but I'm no expert so I'm happy to be wrong.
However, the economic-impact argument against cutting/altering high-polluting industry to reduce GW effects (i.e. it would cost too much and adversly effect the ecomony) is largely bunk in my view - cost of doing so if GW/CC false = medium, cost of doing so is true = low. Cost of doing nothing if false = negligible, cost of doing nothing if true = extremely high.
The conservative, risk minimisation, least impact approach leads to the doing something option just in case. Being a risk averse is worth it in this particular case.
Spaceships however, are a perfectly acceptable alternative - let's use the last of Earth's resources to colonise the solar system and that way when this wonderful blue planet of ours finally turns glowing toxic green we'll all have a fantastic view of it out the earth-side windows of our comfy space-homes while downing a Bosch Beer or ten.