In modern philosophy, mathematics, and logic, a property is an attribute of an object; thus a red object is said to have the property of redness. The property may be considered a form of object in its own right, able to possess other properties. If, however,for every predicate there is a corresponding property, then properties are subject to Russell's paradox/Grelling–Nelson paradox. It differs from the logical concept of class by not having any ...
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In modern philosophy, mathematics, and logic, a property is an attribute of an object; thus a red object is said to have the property of redness. The property may be considered a form of object in its own right, able to possess other properties. If, however,for every predicate there is a corresponding property, then properties are subject to Russell's paradox/Grelling–Nelson paradox. It differs from the logical concept of class by not having any concept of extensionality, and from the philosophical concept of class in that a property is considered to be distinct from the objects which possess it.
In classical Aristotelian terminology, a property (proprium) is one of the Predicables. It is a non-essential quality of a species (like an accident), but a quality which is nevertheless characteristically present in members of that species (and in no others). For example, "ability to laugh" may be considered a special characteristic of human beings. However, "laughter" is not an essential...
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