Universal (metaphysics)
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Metaphysics
Metaphysics is a branch of philosophy concerned with explaining the fundamental nature of being and the world, although the term is not easily defined. Traditionally, metaphysics attempts to answer two basic questions in the broadest possible terms:...

, a universal is what particular things have in common, namely characteristics or qualities. In other words, universals are repeatable or recurrent entities that can be instantiated or exemplified by many particular things. For example, suppose there are two chairs in a room, each of which is green. These two chairs both share the quality of "chairness," as well as greenness or the quality of being green. Metaphysicians call this quality that they share a "universal." There are three major kinds of qualities or characteristics: types or kinds (e.g. mammal), properties (e.g. short, strong), and relations (e.g. father of, next to). These are all different types of universal.

The noun "universal" contrasts with "individual
Individual
An individual is a person or any specific object or thing in a collection. Individuality is the state or quality of being an individual; a person separate from other persons and possessing his or her own needs, goals, and desires. Being self expressive...

", while the adjective "universal" contrasts with "particular
Particular
In philosophy, particulars are concrete entities existing in space and time as opposed to abstractions. There are, however, theories of abstract particulars or tropes. For example, Socrates is a particular...

". Paradigmatically, universals are abstract (e.g. humanity), whereas particulars are concrete (e.g. the person of Socrates). However, universals are not necessarily abstract and particulars are not necessarily concrete. For example, one might hold that numbers are particular yet abstract objects. Likewise, some philosophers, such as D.M. Armstrong
David Malet Armstrong
David Malet Armstrong , often D. M. Armstrong, is an Australian philosopher. He is well-known for his work on metaphysics and the philosophy of mind, and for his defence of a factualist ontology, a functionalist theory of the mind, an externalist epistemology, and a necessitarian conception of the...

, consider universals to be concrete.
Most do not consider classes
Class (philosophy)
Philosophers sometimes distinguish classes from types and kinds. We can talk about the class of human beings, just as we can talk about the type , human being, or humanity...

 to be universals, although some prominent philosophers do, such as John Bigelow
John Bigelow
John Bigelow was an American lawyer and statesman.-Life:Born in Malden-on-Hudson, New York, John Bigelow, Sr.graduated from Union College in 1835 where he was a member of the Sigma Phi Society and the Philomathean Society, and was admitted to the bar in 1838...

.

Problem of universals

The problem of universals
Problem of universals
The problem of universals is an ancient problem in metaphysics about whether universals exist. Universals are general or abstract qualities, characteristics, properties, kinds or relations, such as being male/female, solid/liquid/gas or a certain colour, that can be predicated of individuals or...

is an ancient problem in metaphysics about whether universals exist. The problem arises from attempts to account for the phenomenon of similarity or attribute agreement among things. For example, live grass
Grass
Grasses, or more technically graminoids, are monocotyledonous, usually herbaceous plants with narrow leaves growing from the base. They include the "true grasses", of the Poaceae family, as well as the sedges and the rushes . The true grasses include cereals, bamboo and the grasses of lawns ...

 and Granny Smith apples
Granny Smith
The Granny Ramsey Smith green apple is a tip-bearing apple cultivar, which originated in Australia in 1868. It is named after Maria Ann Smith, who propagated the cultivar from a chance seedling. The tree is thought to be a hybrid of Malus sylvestris, the European Wild Apple, with the domestic...

 are similar or agree in attribute, namely in having the attribute of greenness. The issue is how to account for this sort of agreement in attribute among things. There are two main positions on the issue: realism and nominalism
Nominalism
Nominalism is a metaphysical view in philosophy according to which general or abstract terms and predicates exist, while universals or abstract objects, which are sometimes thought to correspond to these terms, do not exist. Thus, there are at least two main versions of nominalism...

(sometimes simply called "anti-realism" about universals). Realists posit the existence of universals to account for attribute agreement. Nominalists deny that universals exist, claiming that they are not necessary to explain attribute agreement. Complications which arise include the implications of language use and the complexity of relating language to ontology
Ontology
Ontology is the philosophical study of the nature of being, existence or reality as such, as well as the basic categories of being and their relations...

.

Particular

A universal may have instances, known as its particulars. For example, the type dog (or doghood) is a universal, as are the property red (or redness) and the relation betweenness (or being between). Any particular dog, red thing, or object that is between other things is not a universal, however, but is an instance of a universal. That is, a universal type (doghood), property (redness), or relation (betweenness) inheres in a particular object (a specific dog, red thing, or object between other things).

Platonic Realism

Platonic realism
Platonic realism
Platonic realism is a philosophical term usually used to refer to the idea of realism regarding the existence of universals or abstract objects after the Greek philosopher Plato , a student of Socrates. As universals were considered by Plato to be ideal forms, this stance is confusingly also called...

 holds universals to be the referents of general terms, such as the abstract
Abstraction
Abstraction is a process by which higher concepts are derived from the usage and classification of literal concepts, first principles, or other methods....

, nonphysical, non-mental entities to which words like "sameness", "justice", and "beauty" refer. Particulars are the referents of proper names, like "Phaedo," or of definite descriptions that identify single objects, like the phrase, "that bed over there". Other metaphysical theories may use the terminology of universals to describe physical entities. Plato's examples of what we might today call universals included mathematical and geometrical ideas such as a circle and natural numbers as universals. Plato's views on universals did, however, vary across several different discussions. In some cases, Plato spoke as if the perfect circle functioned as the form
Substantial form
A theory of substantial forms asserts that forms organize matter and make it intelligible. Substantial forms are the source of properties, order, unity, identity, and information about objects....

 or blueprint for all copies and for the word definition of circle. In other discussions, Plato describes particulars as "participating" in the associated universal.

Ness-Ity-Hood Principle

The Ness-Ity-Hood Principle is used mainly by English-speaking philosophers to generate convenient, concise names for universals or properties
Property (philosophy)
In modern philosophy, logic, and mathematics a property is an attribute of an object; 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. A property however differs from individual objects in that...

. According to the Ness-Ity-Hood Principle, a name for any universal may be formed that is distinctive, "of left-handers" may be formed by taking the predicate "left-handed" and adding "ness", which yields the name "left-handedness". The principle is most helpful in cases where there is not an established or standard name of the universal in ordinary English usage: What is the name of the universal distinctive of chairs? "Chair" in English is used not only as a subject (as in "The chair is broken"), but also as a predicate (as in "That is a chair"). So to generate a name for the universal distinctive of chairs, take the predicate "chair" and add "ness", which yields "chairness". (Though it is clear that "chairity" would not work, it is arguable that "chairhood" is preferable to "chairness". It is important to see that the Ness-Ity-Hood Principle offers no way of adjudicating such relatively trivial distinctions.)

See also

  • Hypostatic abstraction
    Hypostatic abstraction
    Hypostatic abstraction in mathematical logic, also known as hypostasis or subjectal abstraction, is a formal operation that transforms an assertion to a relation; for example "Honey is sweet" is transformed into "Honey has sweetness"...

  • Philosophy of mathematics
    Philosophy of mathematics
    The philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics. The aim of the philosophy of mathematics is to provide an account of the nature and methodology of mathematics and to understand the place of...

  • Sortal
    Sortal
    A sortal is something that takes numerical modifiers. There is disagreement about the exact definition of the term as well as whether the term is applied to linguistic things , abstract entities , or psychological entities, .-Differing perspectives:According to the Stanford Encyclopedia of...

  • The Secret of Hegel
    The Secret of Hegel
    The Secret of Hegel: Being the Hegelian System in Origin Principle, Form and Matter is a philosophy book by James Hutchison Stirling.The book has influenced many British philosophers and helped to create the movement known as British idealism....

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