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In logic, equality is a primitive predicate (a statement that may have free variables) with the reflexive property (called the Law of identity), and the substitution property. From those, one can derive the rest of the properties usually needed for equality.
Property rights are constructs in economics for determining how a resource or economic good is used and owned, [1] which have developed over ancient and modern history, from Abrahamic law to Article 17 of the Universal Declaration of Human Rights.
Types of property include real property (the combination of land and any improvements to or on the ground), personal property (physical possessions belonging to a person), private property (property owned by legal persons, business entities or individual natural persons), public property (State-owned or publicly owned and available possessions ...
In logic, extensionality, or extensional equality, refers to principles that judge objects to be equal if they have the same external properties. It stands in contrast to the concept of intensionality , which is concerned with whether the internal definitions of objects are the same.
An implication of model theory is that the properties defining a relation can be proved independent of each other (and hence necessary parts of the definition) if and only if, for each property, examples can be found of relations not satisfying the given property while satisfying all the other properties. Hence the three defining properties of ...
Fundamental rule of proportion. This rule is sometimes called Means‐Extremes Property. [4] If the ratios are expressed as fractions, then the same rule can be phrased in terms of the equality of "cross-products" [2] and is called Cross‐Products Property.
Home equity is the market value of a homeowner's unencumbered interest in their real property, that is, the difference between the home's fair market value and the outstanding balance of all liens on the property. The property's equity increases as the debtor makes payments against the mortgage balance, or as the property value appreciates.
This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.