Is wear resistance and edge retention the same thing? Also what is the reason for toughness and wear resistance being directly opposing properties? Not challenging what you said, just want to learn more.
From my personal perspective and understanding, not the most accurate, but I believe that it is correct and easy to understand:
Wear resistance is probably the most important contributing factor to edge retention, but not the same. Wear resistance is about the material property, how much it wears off vs other material. Edge retention is about application property, how long the edge will hold while cutting.
Wear resistance is generally about hardness. Most metals by themselves, including iron, are quite soft. The hardness comes from the amount of cementite and crystal structure formed using carbon (carbide) or other elements. Nevertheless, the harder they get, the more brittle they become. Cast iron is extremely high carbon (by steel standard) iron alloy, it is hard, but can't be used to make blade as the edge will break into small dust easily, due to the tiny chipping.
The "toughness" is to keep the blade from chipping, specifically from micro chipping, and therefore it will preserve the edge sharpness, increasing the edge retention.
Though, with the advancement in technology, such as powder metallurgy, over 1.8% Carbon alloy, the carbon level of cast iron alloy, are now granted higher strength/toughness and could be used for blades.
Cross section of the edge, angle of grind, etc, come in to play with edge retention as well.
Larrin is a professional, he used the correct wording.