Can I start Brussels and Cabbage in a unheated propagator indoors?

I am sure that I read somewhere that you can start Brussels and Cabbage seeds off in an unheated propagator this time of year. I've started some in a heated propagator and they went leggy really quickly. 

Thanks Yorkie. They won't be near a radiator as I'm going to put them on shelving infront of patio doors. They will get lots of light there.   

I started mine in an unheated greenhouse a few weeks ago they was up quick, i got caught out my first growing season with to much heat in the greenhouse during the day so move them out soon after germination.

But isn't the weather too cold to start them in an unheated greenhouse?

No, not really, mine are in a cold greenhouse, just a little shelter from the worst of the weather.

Although I prefer the more economical module sowing way, a lot of my brassica packets say to direct sow (open ground) from now on, so it's not going to be too early for a greenhouse.

I sow 2 seeds in a pot spilt when large enough to go in the ground.