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well spitballing.. does it have to be in space? and what if we split the mirror into many smaller ones?

what if we launched a bunch of mirrored balloons?

That would probably also have the effect of reflecting some of the energy leaving Earth back down onto it, essentially increasing the greenhouse effect.

Also, assuming you need to reflect 2% of the incoming light, and using 8ft diameter balloons, you would need approximately 2,744,628,480,000 balloons.

Why think so small? Do something like this

{1] https://en.wikipedia.org/wiki/Cloud_Nine_(tensegrity_sphere)

combine that with the ideas of

[2] https://en.wikipedia.org/wiki/High-altitude_platform_station

and PROFIT!

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