FACTOID # 145: Three of the top ten countries for GDP per capita are island nations: Bermuda, Cayman Islands, and Iceland.
 
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Encyclopedia > Property (philosophy)

The word property, in philosophy, mathematics, and logic, refers to 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. Properties are therefore subject to the 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. Russells paradox (also known as Russells antinomy) is a paradox discovered by Bertrand Russell in 1901 which shows that the naïve set theory of Cantor and Frege is contradictory. ... The Grelling-Nelson paradox is a verbal paradox formulated in 1908 by Kurt Grelling and Leonard Nelson and sometimes mistakenly attributed to German philosopher and mathematician Hermann Weyl. ... In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously defined by a property that all its members share. ... In mathematics, this usually refers to some form of the principle, going back to Leibniz, that two mathematical objects are equal if there is no test to distinguish them. ... Philosophers sometimes distinguish classes from types and kinds. ...


In mathematical terminology, given any element of a set X, a certain property p is either true or false. Formally, a property p: X → {true, false}. Any property gives rise in a natural way to the set {x: x has the property p} and the corresponding characteristic function. History Main article: History of mathematics In addition to recognizing how to count concrete objects, prehistoric peoples also recognized how to count abstract quantities, like time -- days, seasons, years. ... Some mathematicians use the phrase characteristic function synonymously with indicator function. The indicator function of a subset A of a set B is the function with domain B, whose value is 1 at each point in A and 0 at each point that is in B but not in A...


See also: abstraction An abstraction is an idea, concept, or word which defines the phenomena which make up the concrete events or things which the abstraction refers to, the referents. ...


This article incorporates material from property (http://planetmath.org/?op=getobj&from=objects&id=5001) on PlanetMath, which is licensed under the GFDL. PlanetMath is a free, collaborative, online mathematics encyclopedia. ...


  Results from FactBites:
 
Property (Stanford Encyclopedia of Philosophy) (9252 words)
Property is a general term for rules governing access to and control of land and other material resources.
Some have argued that property rights in a market economy ought to be treated as resistant to redistribution and perhaps as insensitive to distributive justice generally except possibly at the moment of their initial allocation (see Nozick, 1974).
Those who are tempted to question or disrupt an existing distribution of property must recognize that far from ushering in a new era of justice, their best efforts are likely to inaugurate an era of conflict in which all bets are off and in which virtually no planning or cooperation is possible.
Property law - Wikipedia, the free encyclopedia (1238 words)
Property law is the law that governs the various forms of ownership in real property (land as distinct from personal or movable possessions) and in personal property, within the common law legal system.
A person may also obtain an interest in property under a trust established for his or her benefit by the owner of the property.
The modern law of landlord and tenant in common law jurisdictions retains the influence of the common law and, particularly, the laissez-faire philosophy that dominated the law of contract and the law of property in the 19th century.
  More results at FactBites »


 

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