Marsupial,
"A knife may be tough but if it rolls before it chips it has to be softer,common sense says that the more dense a substance is the more likely it will shatter or chip before it will deform."
That's just not the way the universe works. Firstly, density and hardness have little to do with each other. Water is much denser than most woods, but is also a heck of a lot softer. Carbon in diamond form is the second hardest substance known, but it's a lot less dense than lead, which is soft enough to bend thick pieces by hand (at room temperature).
I don't want this to sound rude, but you are confusing together ductility, strength, density, toughness, and hardness in ways that don't make sense. Resistance to deformation, plasticity, density, and structural integrity, are independent variables from each other.
Whether a material chips or rolls has to do with lots of factors, such as molecular structure, macro structure (grain structure, or crystalline structure, or fibers, etc.), strength of bonds, and aspects of quantum electrodynamics which I barely understand and couldn't explain. But one thing it doesn't have to do with is density. There are kinds of mushrooms (Lactarius species, Russula species) which are quite soft and porous, but shatter before they bend. Styrofoam will chip or shatter before it takes very much deformation, but it's very soft and not very dense at all. Also, if there is a correlation between hardness and ductility, it is an oblique one, not a direct relationship.
"Stainless steel for example like 440 will not give nearly as much and will break before it bends much.SS is also harder to sharpen than carbon steels.Therefore I must conclude that SS is of denser composition than carbon."
That's just not the way it works. This is no indication one way or another about the comparative density of stainless steel and carbon steel. The exact particulars probably vary somewhat from steel to steel, regardless of whether stainless or carbon steel. I would venture to guess that most steels are pretty similar in density.
"So my question stands is infi a softer steel than most other steels?"
No. It's heat treated to about 60 RC. Most knife steels are used somewhat softer than that, I think.
--Mike