I don't know what it is, but I have it in my yard and it's a weed.

Maybe a Pyrrhopappus or false dandelion?

Looks like Miner's Lettuce (Claytonia perfoliata) in the baby stage.

Here is a link that might be useful: Miner's Lettuce

Definitely not Claytonia perfoliata. Looks like a weedy Asteraceae, as suggested.
Have you seen it flower? Is it rhizomatous, i.e. if you dig up a plant, is it linked to other plants by the roots?

I havén't tried digging it up. It is raining right now so this weekend I will do that.

Is this the same thing? It comes up in bare spots in the lawn by me.

Has a regular root.

flower

garden2garden,
I believe you have cudweed. It seems like the OP has something different.

I looked at several images on google and I don't think it is cudweed. As for the other plant, I have that in my yard but it is not the one I was asking about.

maylingsmom, cudweed is the name for the plant that garden2garden posted, not YOURS. By the way, can you post an updated picture of yours? It might have be better recognized now that it is older.