As steel gets tougher (softer) it gets weaker and as you make steel stronger (harder) it gets more brittle (less tough).
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Toughness - resistance to breaking, chipping, etc. - Softer steel = tougher steel - Less Carbon
Strength - usually this is the term to explain edge holding ability. - Harder steel = stronger steel. Usually, this means that the steel contains more carbon - carbon makes steels harder/stronger. This means the steel won't bend or give as much as softer steels.
Hope this helps. And, If I am incorrect on anything - please don't hesitate to let me know. <img src="/ubbthreads/images/graemlins/laugh.gif" alt="" />
