Why are there no good suggestions for mitigating CO2 levels?

Most of the "solutions" to global warming are just methods to tax companies for unspecified projects to reduce global warming. Most of the suggested solutions are merely schemes to make companies pay for being big bad meanies. Why are there very few people with actual intelligent solutions for reducing the CO2 in our atmosphere? Yes, burning less fossil fuels would do that, but if we gave up fossil fuels we would have mass starvation on our hands. I'm all for sustainable alternate forms of energy, but what of other solutions, such as devising ways to absorb any extra CO2 in our atmosphere?