In
philosophy
Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, Value (ethics and social sciences), value, mind, and language. It is a rational an ...
and
the arts
The arts or creative arts are a vast range of human practices involving creative expression, storytelling, and cultural participation. The arts encompass diverse and plural modes of thought, deeds, and existence in an extensive range of m ...
, a fundamental distinction exists between abstract and concrete entities. While there is no
universally accepted definition, common examples illustrate the difference:
number
A number is a mathematical object used to count, measure, and label. The most basic examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers can ...
s,
sets, and
idea
In philosophy and in common usage, an idea (from the Greek word: ἰδέα (idea), meaning 'a form, or a pattern') is the results of thought. Also in philosophy, ideas can also be mental representational images of some object. Many philosophe ...
s are typically classified as abstract objects, whereas
plant
Plants are the eukaryotes that form the Kingdom (biology), kingdom Plantae; they are predominantly Photosynthesis, photosynthetic. This means that they obtain their energy from sunlight, using chloroplasts derived from endosymbiosis with c ...
s,
dogs
The dog (''Canis familiaris'' or ''Canis lupus familiaris'') is a domesticated descendant of the gray wolf. Also called the domestic dog, it was selectively bred from a population of wolves during the Late Pleistocene by hunter-gatherers ...
, and
planet
A planet is a large, Hydrostatic equilibrium, rounded Astronomical object, astronomical body that is generally required to be in orbit around a star, stellar remnant, or brown dwarf, and is not one itself. The Solar System has eight planets b ...
s are considered concrete objects.
Philosophers have proposed several criteria to define this distinction:
# ''Spatiotemporal existence'' – Abstract objects exist outside
space-time
In physics, spacetime, also called the space-time continuum, is a mathematical model that fuses the three-dimensional space, three dimensions of space and the one dimension of time into a single four-dimensional continuum (measurement), continu ...
, while concrete objects exist within space-time.
# ''Causal influence'' – Concrete objects can cause and be affected by other entities (e.g., a rock breaking a window), whereas abstract objects (e.g., the number 2) lack causal powers and do not cause anything to happen in the physical world.
# ''Metaphysical relation'' – In
metaphysics
Metaphysics is the branch of philosophy that examines the basic structure of reality. It is traditionally seen as the study of mind-independent features of the world, but some theorists view it as an inquiry into the conceptual framework of ...
, concrete objects are specific, individual things (
particulars), while abstract objects represent general concepts or categories (
universals).
# ''Ontological domain'' – Concrete objects belong to the physical realm (or both the physical and mental realms), whereas abstract objects belong to neither.
Another view is that it is the distinction between contingent existence versus necessary existence; however, philosophers differ on which type of existence here defines abstractness, as opposed to concreteness. Despite this diversity of views, there is broad agreement concerning most objects as to whether they are abstract or concrete,
such that most interpretations agree, for example, that rocks are concrete objects while numbers are abstract objects.
Abstract objects are most commonly used in
philosophy
Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, Value (ethics and social sciences), value, mind, and language. It is a rational an ...
, particularly metaphysics, and
semantics
Semantics is the study of linguistic Meaning (philosophy), meaning. It examines what meaning is, how words get their meaning, and how the meaning of a complex expression depends on its parts. Part of this process involves the distinction betwee ...
. They are sometimes called ''abstracta'' in contrast to ''concreta''. The term ''abstract object'' is said to have been coined by
Willard Van Orman Quine
Willard Van Orman Quine ( ; known to his friends as "Van"; June 25, 1908 – December 25, 2000) was an American philosopher and logician in the analytic tradition, recognized as "one of the most influential philosophers of the twentieth century" ...
.
Abstract object theory
Abstract object theory (AOT) is a branch of metaphysics regarding abstract objects. Originally devised by metaphysician Edward Zalta in 1981, the theory was an expansion of mathematical Platonism.
Overview
''Abstract Objects: An Introduction t ...
is a discipline that studies the nature and role of abstract objects. It holds that properties can be related to objects in two ways: through exemplification and through encoding. Concrete objects exemplify their properties while abstract objects merely encode them. This approach is also known as the
dual copula strategy.
In philosophy
The
type–token distinction
The type–token distinction is the difference between a ''type'' of objects (analogous to a ''class'') and the individual ''tokens'' of that type (analogous to ''instances''). Since each type may be instantiated by multiple tokens, there are g ...
identifies physical objects that are tokens of a particular type of thing. The "type" of which it is a part is in itself an abstract object. The abstract–concrete distinction is often introduced and initially understood in terms of
paradigmatic examples of objects of each kind:
Abstract objects have often garnered the interest of philosophers because they raise problems for popular theories. In
ontology
Ontology is the philosophical study of existence, being. It is traditionally understood as the subdiscipline of metaphysics focused on the most general features of reality. As one of the most fundamental concepts, being encompasses all of realit ...
, abstract objects are considered problematic for
physicalism
In philosophy, physicalism is the view that "everything is physical", that there is "nothing over and above" the physical, or that everything supervenience, supervenes on the physical. It is opposed to idealism, according to which the world arises ...
and some forms of
naturalism. Historically, the most important ontological dispute about abstract objects has been the
problem of universals
The problem of universals is an ancient question from metaphysics that has inspired a range of philosophical topics and disputes: "Should the properties an object has in common with other objects, such as color and shape, be considered to exist ...
. In
epistemology
Epistemology is the branch of philosophy that examines the nature, origin, and limits of knowledge. Also called "the theory of knowledge", it explores different types of knowledge, such as propositional knowledge about facts, practical knowle ...
, abstract objects are considered problematic for
empiricism
In philosophy, empiricism is an epistemological view which holds that true knowledge or justification comes only or primarily from sensory experience and empirical evidence. It is one of several competing views within epistemology, along ...
. If abstracta lack causal powers and 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
Ernst Mally,
Edward Zalta
Edward Nouri Zalta (; born March 16, 1952) is an American philosopher who is a senior research scholar at the Center for the Study of Language and Information at Stanford University. He received his Bachelor of Arts, BA from Rice University in 1 ...
[ and arguably, ]Plato
Plato ( ; Greek language, Greek: , ; born BC, died 348/347 BC) was an ancient Greek philosopher of the Classical Greece, Classical period who is considered a foundational thinker in Western philosophy and an innovator of the writte ...
in his Theory of Forms
The Theory of Forms or Theory of Ideas, also known as Platonic idealism or Platonic realism, is a philosophical theory credited to the Classical Greek philosopher Plato.
A major concept in metaphysics, the theory suggests that the physical w ...
,[ have held that abstract objects constitute the defining subject matter of ]metaphysics
Metaphysics is the branch of philosophy that examines the basic structure of reality. It is traditionally seen as the study of mind-independent features of the world, but some theorists view it as an inquiry into the conceptual framework of ...
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 especially suited to answering these latter questions.
In modern philosophy
Modern philosophy is philosophy developed in the modern era and associated with modernity. It is not a specific doctrine or school (and thus should not be confused with ''Modernism''), although there are certain assumptions common to much of i ...
, the distinction between abstract and concrete was explored by Immanuel Kant
Immanuel Kant (born Emanuel Kant; 22 April 1724 – 12 February 1804) was a German Philosophy, philosopher and one of the central Age of Enlightenment, Enlightenment thinkers. Born in Königsberg, Kant's comprehensive and systematic works ...
and G. W. F. Hegel
Georg Wilhelm Friedrich Hegel (27 August 1770 – 14 November 1831) was a 19th-century German idealism, German idealist. His influence extends across a wide range of topics from metaphysical issues in epistemology and ontology, to political phi ...
.
Gottlob Frege
Friedrich Ludwig Gottlob Frege (; ; 8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician. He was a mathematics professor at the University of Jena, and is understood by many to be the father of analytic philos ...
said that abstract objects, such as propositions, were members of a third realm, different from the external world or from internal consciousness
Consciousness, at its simplest, is awareness of a state or object, either internal to oneself or in one's external environment. However, its nature has led to millennia of analyses, explanations, and debate among philosophers, scientists, an ...
. (See Popper's three worlds.)
Abstract objects and causality
Another popular proposal for drawing the abstract–concrete distinction contends that an object is abstract if it lacks causal
Causality is an influence by which one Event (philosophy), event, process, state, or Object (philosophy), object (''a'' ''cause'') contributes to the production of another event, process, state, or object (an ''effect'') where the cause is at l ...
power. A causal power has the ability to affect something causally. Thus, the empty set is abstract because it cannot act on other objects. One problem with this view is that it is not clear exactly what it is to have causal power. For a more detailed exploration of the abstract–concrete distinction, see the relevant ''Stanford Encyclopedia of Philosophy
The ''Stanford Encyclopedia of Philosophy'' (''SEP'') is a freely available online philosophy resource published and maintained by Stanford University, encompassing both an online encyclopedia of philosophy and peer-reviewed original publication ...
'' article.
Quasi-abstract entities
In the 2010s, there was some philosophical interest in the development of a third category of objects known as the quasi-abstract. Quasi-abstract objects have drawn particular attention in the area of social ontology and documentality
Documentality is the theory of documents that underlies the ontology of social reality put forward by the Italian philosopher Maurizio Ferraris (see Ferraris 2007, 2008, 2009a and 2009b). The theory gives to documents a central position within th ...
. Some argue that the over-adherence to the platonist
Platonism is the philosophy of Plato and philosophical systems closely derived from it, though contemporary Platonists do not necessarily accept all doctrines of Plato. Platonism has had a profound effect on Western thought. At the most fundam ...
duality of the concrete and the abstract has led to a large category of social objects having been overlooked or rejected as nonexistent because they exhibit characteristics that the traditional duality between concrete and abstract regards as incompatible. Specifically, the ability to have temporal location, but not spatial location, and have causal agency (if only by acting through representatives). These characteristics are exhibited by a number of social objects, including states of the international legal system.[E. H. Robinson (2014), "A Documentary Theory of States and Their Existence as Quasi-Abstract Entities", ''Geopolitics'' 19 (3), pp. 1–29.]
Concrete and abstract thought in psychology
Jean Piaget
Jean William Fritz Piaget (, ; ; 9 August 1896 – 16 September 1980) was a Swiss psychologist known for his work on child development. Piaget's theory of cognitive development and epistemological view are together called genetic epistemology.
...
uses the terms "concrete" and "formal" to describe two different types of learning. Concrete thinking involves facts and descriptions about everyday, tangible objects, while abstract ( formal operational) thinking involves a mental process.
See also
References
Sources
*
External links
*
Nominalism, Realism, Conceptualism
from ''The Catholic Encyclopedia
''The'' ''Catholic Encyclopedia: An International Work of Reference on the Constitution, Doctrine, Discipline, and History of the Catholic Church'', also referred to as the ''Old Catholic Encyclopedia'' and the ''Original Catholic Encyclopedi ...
''
Abstract vs. Concrete in Writing
from Writing for Results
{{Authority control
Abstract object theory
Abstraction
Cognition
Metaphysical properties
Consciousness
Metaphysical theories
Metaphysics of mind
Theory of mind
Syntax–semantics interface