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Abstract object



 
 
An abstract object is an object
Object (philosophy)

In philosophy, an object is a thing, an entity, or a being. This may be taken in several senses.In its weakest sense, the word object is the most all-purpose of nouns, and can replace a noun in any sentence at all....
 which does not exist at any particular time or place, but rather exists as a type
Type (metaphysics)

In metaphysics, a type is a category of being. A human is a type of thing; a cloud is a type of object ; and so on. A particular instance of a type is called a token of that thing; so Socrates was a token of a human being, but is not any longer since he is dead....
 of thing (as an idea
Idea

An idea is a form formed by consciousness through the process of Ideation . Human capability to contemplate ideas is associated with the ability of reasoning, human self-reflection, and of the ability to acquire and apply intellect, intuition, inspiration, etc.....
, or abstraction
Abstraction

Abstraction is the process or result of generalization by reducing the information content of a concept or an observable phenomenon, typically in order to retain only information which is relevant for a particular purpose....
). In philosophy
Philosophy

Philosophy is the study of general problems concerning matters such as existence, knowledge, truth, beauty, justice, validity, mind, and language....
, an important distinction is whether an object is considered abstract or concrete. Abstract objects are sometimes called abstracta (sing. abstractum) and concrete objects are sometimes called concreta (sing.






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An abstract object is an object
Object (philosophy)

In philosophy, an object is a thing, an entity, or a being. This may be taken in several senses.In its weakest sense, the word object is the most all-purpose of nouns, and can replace a noun in any sentence at all....
 which does not exist at any particular time or place, but rather exists as a type
Type (metaphysics)

In metaphysics, a type is a category of being. A human is a type of thing; a cloud is a type of object ; and so on. A particular instance of a type is called a token of that thing; so Socrates was a token of a human being, but is not any longer since he is dead....
 of thing (as an idea
Idea

An idea is a form formed by consciousness through the process of Ideation . Human capability to contemplate ideas is associated with the ability of reasoning, human self-reflection, and of the ability to acquire and apply intellect, intuition, inspiration, etc.....
, or abstraction
Abstraction

Abstraction is the process or result of generalization by reducing the information content of a concept or an observable phenomenon, typically in order to retain only information which is relevant for a particular purpose....
). In philosophy
Philosophy

Philosophy is the study of general problems concerning matters such as existence, knowledge, truth, beauty, justice, validity, mind, and language....
, an important distinction is whether an object is considered abstract or concrete. Abstract objects are sometimes called abstracta (sing. abstractum) and concrete objects are sometimes called concreta (sing. concretum). The type-token distinction
Type-token distinction

The type-token distinction is between a concept and particular instances of that concept. For example, the bicycle in your garage is a token of the type "bicycle."; the bicycle-token is a "particular" located in time and space but the type-bicycle type is not....
 identifies that physical objects are tokens of a particular type
Type (metaphysics)

In metaphysics, a type is a category of being. A human is a type of thing; a cloud is a type of object ; and so on. A particular instance of a type is called a token of that thing; so Socrates was a token of a human being, but is not any longer since he is dead....
 of thing. The "type" that it is a part of is itself an abstract object. The abstract-concrete distinction is often introduced and initially understood in terms of paradigmatic examples of objects of each kind:

Examples of Abstract and Concrete Objects
Abstracta Concreta
Tennis
Tennis

Tennis is a sport played between two players or between two teams of two players each . Each player uses a strung racquet to strike a hollow rubber Tennis ball covered with felt over a net into the opponent's tennis court....
A tennis player
Redness An inscription of the word "red"
5
5 (number)

5 is a number, numeral, and glyph. It is the natural number following 4 and preceding 6 ....
Five cats
Justice
Justice

Justice is the concept of morality rightness based on ethics, rationality, law, natural law, fairness and equity."...
A court
Court

A court is a body, often a government institution, with the authority to adjudication legal disputes and dispense private law, criminal justice, or administrative law justice in accordance with rules of law....
humanism
Humanism

Humanism is a broad category of ethics that affirm the dignity and worth of all people, based on the ability to determine right and wrong by appealing to universal human qualities, particularly rationalism, without resorting to the supernatural or alleged divine authority from religious texts....
A human being


Definition

Philosophers disagree over just what makes the items in the first column abstract.

Location

One well-known proposal is that an object is abstract if and only if
If and only if

If and only if, in logic and fields that rely on it such as mathematics and philosophy, is a biconditional logical connective between statements....
 it lacks a location in space. Thus justice is abstract because it has no spatial location. One potential problem for this proposal is that certain typically abstract objects, like the game of tennis, arguably do have a sort of spatial location (e.g. "Tennis is alive and well in New York City"). Another problem is that some arguably concrete mental objects (e.g. Tim’s pang of concern for his eldest daughter) perhaps do not have spatial location.

Causal power

Another popular proposal for drawing the abstract-concrete distinction has it that an object is abstract if it lacks any causal powers. A causal power is an ability to affect something causally. Thus the empty set is abstract because it cannot act on other objects. One problem for this view is that it is not clear exactly what it is to have a causal power. For a more detailed exploration of the abstract-concrete distinction, follow the link below to the Stanford Encyclopedia article.

In philosophy

Abstract objects have often garnered the interest of philosophers because they are taken to raise problems for popular theories. In ontology
Ontology

Ontology in philosophy is the study of the nature of being, existence or reality in general, as well as of the basic category of being and their relations....
, abstract objects are considered problematic for physicalism
Physicalism

Physicalism is a philosophical position holding that everything which exists is no more extensive than its physical properties; that is, that there are no kinds of things other than physical things....
 and naturalism
Metaphysical naturalism

Metaphysical naturalism, or ontological naturalism, characterizes any worldview in which reality is such that there is nothing but the natural things, forces, and causes of the kind that the natural sciences study, i.e....
. Historically, the most important ontological dispute about abstract objects has been the problem of universals
Problem of universals

The problem of universals is an ancient problem in metaphysics about whether Universal 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 particulars or that individuals or particulars...
. In epistemology
Epistemology

Epistemology or theory of knowledge is the branch of philosophy concerned with the nature and scope of knowledge. It addresses the questions:...
, abstract objects are considered problematic for empiricism
Empiricism

In philosophy, empiricism is a theory of knowledge which asserts that knowledge arises from experience. Empiricism is one of several competing views about how we know "things," part of the branch of philosophy called epistemology, or "theory of knowledge"....
. If abstracta lack causal powers or spatial location, how do we know about them? It is hard to say how they can affect our sensory experiences, and yet we seem to agree on a wide range of claims about them. Some, such as Edward Zalta and arguably Plato
Plato

Plato , was a Classical Greece Greeks philosopher, mathematician, writer of philosophical dialogues, and founder of the Platonic Academy in Ancient Athens, the first institution of higher learning in the western world....
 (in his Theory of Forms
Theory of Forms

Plato's Theory of Forms asserts that Forms , and not the material world of change Plato's allegory of the cave, possess the highest and most fundamental kind of reality....
), have held that abstract objects constitute the defining subject matter of metaphysics
Metaphysics

Metaphysics investigates principles of reality transcending those of any particular science. cosmology and ontology are traditional branches of metaphysics....
 or philosophical inquiry more broadly. To the extent that philosophy is independent of empirical research, and to the extent that empirical questions do not inform questions about abstracta, philosophy would seem specially suited to answering these latter questions.

Concrete and abstract thinking

Piaget
Piaget

Piaget may refer to:* Edouard Piaget , Swiss entomologist* Jean Piaget , Swiss developmental theorist* Sidney Paget , British illustrator* Piaget SA, a Swiss watchmaker and jeweler...
 uses the terms "concrete" and "formal" to describe the difference types of learning. Concrete thinking involves facts and descriptions about everyday, tangible objects, while abstract (formal operational) thinking involves a mental process.
Concrete idea Abstract idea
Heavy things sink It will sink if its density is greater than the density of the liquid.
You breathe in oxygen and breathe out carbon dioxide Gas exchange takes place between the air in the alveoli and the blood
Plants get water through their roots Water diffuses through the cell membrane of the root hair cells...
The transition to abstract thinking is not inevitable. About 30% of teenagers naturally make the shift without help. While there are a range of approaches which can help pupils with ordinary learning, to assist with the concrete/abstract transition the learner has to be presented with a problem which cannot be solved without abstract thinking and then be assisted to construct the concept for themselves.

Terminology

In language, abstract and concrete objects are often synonymous with concrete nouns and abstract nouns
Noun

In linguistics, a noun is a member of a large, open class lexical category whose members can occur as the main word in the subject of a clause, the object of a verb, or the object of a preposition....
. In English, many abstract nouns are formed by adding noun-forming suffixes ("-ness", "-ity", "-tion") to adjectives or verbs. Examples are "happiness", "circulation" and "serenity".

See also


  • Abstraction
    Abstraction

    Abstraction is the process or result of generalization by reducing the information content of a concept or an observable phenomenon, typically in order to retain only information which is relevant for a particular purpose....
  • Abstract structure
    Abstract structure

    An abstract structure is a formal object that is defined by a set of laws, properties, and relationships in a way that is logically if not always historically independent of the structure of contingent experiences, for example, those involving physical objects....
  • Nominalism
    Nominalism

    Nominalism is a Metaphysics view in philosophy according to which general or abstract terms and Predicate exist but that either Universal or abstract objects, which are sometimes thought to correspond to these terms, do not exist....
  • Object (philosophy)
    Object (philosophy)

    In philosophy, an object is a thing, an entity, or a being. This may be taken in several senses.In its weakest sense, the word object is the most all-purpose of nouns, and can replace a noun in any sentence at all....
  • 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....
  • Platonic form
  • Problem of universals
  • Universal (metaphysics)
    Universal (metaphysics)

    In metaphysics, 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....
  • Immanuel Kant
    Immanuel Kant

    Immanuel Kant was an 18th-century German Philosophy from the Kingdom of Prussia city of K?nigsberg . He is regarded as one of the most influential thinkers of modern Europe and of the late Age of Enlightenment....
  • Type-token distinction
    Type-token distinction

    The type-token distinction is between a concept and particular instances of that concept. For example, the bicycle in your garage is a token of the type "bicycle."; the bicycle-token is a "particular" located in time and space but the type-bicycle type is not....


External links

  • , from The Catholic Encyclopedia