Color Perception

In my freshman science class we discussed color and how the eye sees it. During class I had a query that has always given me cause to wonder.
Are the colors that I see the same as the colors that others see? In preschool and kindergarten we learn the names of colors so we all recognize the same name. I wonder if what I see as red is what you see as blue. I wonder if we call a color the same name but see it differently.