A physical symbol system (also called a
formal system
A formal system is an abstract structure and formalization of an axiomatic system used for deducing, using rules of inference, theorems from axioms.
In 1921, David Hilbert proposed to use formal systems as the foundation of knowledge in ma ...
) takes physical patterns (symbols), combining them into structures (expressions) and manipulating them (using processes) to produce new expressions.
The physical symbol system hypothesis (PSSH) is a position in the
philosophy of artificial intelligence
The philosophy of artificial intelligence is a branch of the philosophy of mind and the philosophy of computer science that explores artificial intelligence and its implications for knowledge and understanding of intelligence, ethics, conscious ...
formulated by
Allen Newell
Allen Newell (March 19, 1927 – July 19, 1992) was an American researcher in computer science and cognitive psychology at the RAND Corporation and at Carnegie Mellon University's School of Computer Science, Tepper School of Business, and D ...
and
Herbert A. Simon. They wrote:
This claim implies both that human thinking is a kind of symbol manipulation (because a symbol system is necessary for intelligence) and that machines can be intelligent (because a symbol system is
sufficient for intelligence).
The idea has philosophical roots in
Thomas Hobbes
Thomas Hobbes ( ; 5 April 1588 – 4 December 1679) was an English philosopher, best known for his 1651 book ''Leviathan (Hobbes book), Leviathan'', in which he expounds an influential formulation of social contract theory. He is considered t ...
(who claimed reasoning was "nothing more than reckoning"),
Gottfried Wilhelm Leibniz
Gottfried Wilhelm Leibniz (or Leibnitz; – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Sir Isaac Newton, with the creation of calculus in addition to ...
(who attempted to create a logical calculus of all human ideas),
David Hume
David Hume (; born David Home; – 25 August 1776) was a Scottish philosopher, historian, economist, and essayist who was best known for his highly influential system of empiricism, philosophical scepticism and metaphysical naturalism. Beg ...
(who thought perception could be reduced to "atomic impressions") and even
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 ...
(who analyzed all experience as controlled by formal rules).
[, ] The latest version is called the
computational theory of mind
In philosophy of mind, the computational theory of mind (CTM), also known as computationalism, is a family of views that hold that the human mind is an information processing system and that cognition and consciousness together are a form of comp ...
, associated with philosophers
Hilary Putnam
Hilary Whitehall Putnam (; July 31, 1926 – March 13, 2016) was an American philosopher, mathematician, computer scientist, and figure in analytic philosophy in the second half of the 20th century. He contributed to the studies of philosophy of ...
and
Jerry Fodor
Jerry Alan Fodor ( ; April 22, 1935 – November 29, 2017) was an American philosopher and the author of works in the fields of philosophy of mind and cognitive science. His writings in these fields laid the groundwork for the modularity of min ...
.
Examples
Examples of physical symbol systems include:
*
Formal logic
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
: the symbols are words like "and", "or", "not", "for all x" and so on. The expressions are statements in formal logic which can be true or false. The processes are the rules of logical deduction.
*
Algebra
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic ope ...
: the symbols are "+", "×", "''x''", "''y''", "1", "2", "3", etc. The expressions are equations. The processes are the rules of algebra, that allow one to manipulate a mathematical expression and retain its truth.
*
Chess
Chess is a board game for two players. It is an abstract strategy game that involves Perfect information, no hidden information and no elements of game of chance, chance. It is played on a square chessboard, board consisting of 64 squares arran ...
: the symbols are the pieces, the processes are the legal chess moves, the expressions are the positions of all the pieces on the board.
* A
computer
A computer is a machine that can be Computer programming, programmed to automatically Execution (computing), carry out sequences of arithmetic or logical operations (''computation''). Modern digital electronic computers can perform generic set ...
running a
program: the symbols and expressions are data structures, the process is the program that changes the data structures.
The physical symbol system hypothesis claims that both of the following are also examples of physical symbol systems:
* Intelligent human thought: the symbols are encoded in our brains. The expressions are
thought
In their most common sense, the terms thought and thinking refer to cognitive processes that can happen independently of sensory stimulation. Their most paradigmatic forms are judging, reasoning, concept formation, problem solving, and de ...
s. The processes are the mental operations of thinking.
* English language: the symbols are words. The expressions are sentences. The processes are the mental operations that enable speaking, writing or reading.
Evidence for the hypothesis
Two lines of evidence suggested to
Allen Newell
Allen Newell (March 19, 1927 – July 19, 1992) was an American researcher in computer science and cognitive psychology at the RAND Corporation and at Carnegie Mellon University's School of Computer Science, Tepper School of Business, and D ...
and
Herbert A. Simon that "symbol manipulation" was the essence of both human and machine intelligence: psychological experiments on human beings and the development of
artificial intelligence
Artificial intelligence (AI) is the capability of computer, computational systems to perform tasks typically associated with human intelligence, such as learning, reasoning, problem-solving, perception, and decision-making. It is a field of re ...
programs.
Psychological experiments and computer models
Newell and Simon carried out
psychological
Psychology is the scientific study of mind and behavior. Its subject matter includes the behavior of humans and nonhumans, both consciousness, conscious and Unconscious mind, unconscious phenomena, and mental processes such as thoughts, feel ...
experiments that showed that, for difficult problems in logic, planning, or any kind of "puzzle solving", people carefully proceeded step-by-step, considering several different possible ways forward, selected the most promising one, backing up when the possibility hit a dead end. Each possible solution was visualized with symbols, such as words, numbers or diagrams. This was "symbol manipulation" -- the people were iteratively exploring a
formal system
A formal system is an abstract structure and formalization of an axiomatic system used for deducing, using rules of inference, theorems from axioms.
In 1921, David Hilbert proposed to use formal systems as the foundation of knowledge in ma ...
looking for a matching pattern that solved the puzzle. Newell and Simon were able to simulate the step by step problem solving skills of people with computer programs; they created programs that used the same algorithms as people and were able to solve the same problems.
This type of research, using both experimental psychology and computer models, was called "
cognitive simulation" by
Hubert Dreyfus
Hubert Lederer Dreyfus ( ; October 15, 1929 – April 22, 2017) was an American philosopher and a professor of philosophy at the University of California, Berkeley. His main interests included phenomenology, existentialism and the philosophy of ...
. Their work was profoundly influential: it contributed to the
cognitive revolution
The cognitive revolution was an intellectual movement that began in the 1950s as an interdisciplinary study of the mind and its processes, from which emerged a new field known as cognitive science. The preexisting relevant fields were psychology, ...
of the 1960s, in addition to the founding of the fields of
cognitive science
Cognitive science is the interdisciplinary, scientific study of the mind and its processes. It examines the nature, the tasks, and the functions of cognition (in a broad sense). Mental faculties of concern to cognitive scientists include percep ...
and
cognitivism in psychology.
This line of research suggested that human problem solving consisted primarily of the manipulation of high-level symbols.
Artificial intelligence programs in the 1950s and 60s
In the early decades of AI research there were many programs that used high-level symbol processing. These programs were very successful, demonstrating skills that many people at the time had assumed were impossible for machines, such as solving
algebra word problems (
STUDENT
A student is a person enrolled in a school or other educational institution, or more generally, a person who takes a special interest in a subject.
In the United Kingdom and most The Commonwealth, commonwealth countries, a "student" attends ...
), proving theorems in logic (
Logic Theorist), learning to play competitive checkers (
Arthur Samuel's checkers), and communicating in natural language (
ELIZA
ELIZA is an early natural language processing computer program developed from 1964 to 1967 at MIT by Joseph Weizenbaum. Created to explore communication between humans and machines, ELIZA simulated conversation by using a pattern matching and ...
,
SHRDLU
SHRDLU is an early natural-language understanding computer program that was developed by Terry Winograd at MIT in 1968–1970. In the program, the user carries on a conversation with the computer, moving objects, naming collections and query ...
).
The success of these programs suggested that symbol processing systems could simulate any intelligent action.
Clarifications
The physical symbol systems hypothesis becomes trivial, incoherent or irrelevant unless we recognize three distinctions: between "digitized signals" and "symbols"; between
"narrow" AI and
general intelligence; and between
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 ...
and intelligent behavior.
Semantic symbols vs. dynamic signals
The physical symbol system hypothesis is only interesting if we restrict the "symbols" to things that have a recognizable
meaning or
denotation
In linguistics and philosophy, the denotation of a word or expression is its strictly literal meaning. For instance, the English word "warm" denotes the property of having high temperature. Denotation is contrasted with other aspects of meaning in ...
and can be
composed with other symbols to create more complex symbols, like
and
. It doesn't apply to the simple 0s and 1s in the memory of a digital computer or the stream of 0s and 1s passing through the perceptual apparatus of a robot. It also doesn't apply to matrixes of unidentified numbers, such as those used in
neural network
A neural network is a group of interconnected units called neurons that send signals to one another. Neurons can be either biological cells or signal pathways. While individual neurons are simple, many of them together in a network can perfor ...
s or
support vector machine
In machine learning, support vector machines (SVMs, also support vector networks) are supervised max-margin models with associated learning algorithms that analyze data for classification and regression analysis. Developed at AT&T Bell Laborato ...
s. These may technically be symbols, but it is not always possible to determine exactly what the symbols are standing for. This is not what Newell and Simon had in mind, and the argument becomes trivial if we include them.
David Touretzky and
Dean Pomerleau consider what would follow if we interpret the "symbols" in the PSSH to be binary digits of digital hardware. In this version of the hypothesis, no distinction is being made between "symbols" and "signals". Here the physical symbol system hypothesis asserts merely that intelligence can be ''digitized''. This is a weaker claim. Indeed,
Touretzky and
Pomerleau write that if symbols and signals are the same thing, then "
fficiency is a given, unless one is a dualist or some other sort of mystic, because physical symbol systems are
Turing-universal."
[ The widely accepted Church–Turing thesis holds that any Turing-universal system can simulate any conceivable process that can be digitized, given enough time and memory. Since any digital computer is Turing-universal, any digital computer can, in theory, simulate anything that can be digitized to a sufficient level of precision, including the behavior of intelligent organisms. The necessary condition of the physical symbol systems hypothesis can likewise be finessed, since we are willing to accept almost any signal as a form of "symbol" and all intelligent biological systems have signal pathways.][
Reconstructing Physical Symbol Systems
David S. Touretzky and Dean A. Pomerleau
Computer Science Department
Carnegie Mellon University
Cognitive Science 18(2):345–353, 1994.
https://www.cs.cmu.edu/~dst/pubs/simon-reply-www.ps.gz
]
The same issue applies to the unidentified numbers that appear in the matrixes of a neural network
A neural network is a group of interconnected units called neurons that send signals to one another. Neurons can be either biological cells or signal pathways. While individual neurons are simple, many of them together in a network can perfor ...
or a support vector machine
In machine learning, support vector machines (SVMs, also support vector networks) are supervised max-margin models with associated learning algorithms that analyze data for classification and regression analysis. Developed at AT&T Bell Laborato ...
. These programs are using the same mathematics as a digitial simulation of a dynamical system
In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space, such as in a parametric curve. Examples include the mathematical models ...
, and is better understood as "dynamic system" than a "physical symbol system". Nils Nilsson wrote: "any physical process can be simulated to any desired degree of accuracy on a symbol-manipulating computer, but an account of such a simulation in terms of symbols, instead of signals, can be unmanageably cumbersome."
General intelligence vs. "narrow" intelligence
The PSSH refers to "general intelligent action" -- that is, to ''every'' activity that we would consider "intelligent". Thus it is the claim that artificial general intelligence
Artificial general intelligence (AGI)—sometimes called human‑level intelligence AI—is a type of artificial intelligence that would match or surpass human capabilities across virtually all cognitive tasks.
Some researchers argue that sta ...
can be achieved using ''only'' symbolic methods. It does not refer to " narrow" applications. (That is, applications that are intended only to solve exactly one problem -- which includes almost all AI systems currently in use.)
Artificial intelligence
Artificial intelligence (AI) is the capability of computer, computational systems to perform tasks typically associated with human intelligence, such as learning, reasoning, problem-solving, perception, and decision-making. It is a field of re ...
research has succeeded in developing many programs that are capable of intelligently solving particular problems. However, AI research has so far not been able to produce a system with artificial general intelligence -- the ability to solve a variety of novel problems, as humans do.
Thus, the criticism of the PSSH refers to the limits of AI in the future, and does not apply to any current research or programs.
Some claim that large language model
A large language model (LLM) is a language model trained with self-supervised machine learning on a vast amount of text, designed for natural language processing tasks, especially language generation.
The largest and most capable LLMs are g ...
s are capable of "general intelligent action", however this is arguable.
Consciousness vs. intelligent action
The PSSH refers to "intelligent action" -- that is, the ''behavior'' of the machine -- it does not refer to the "mental states", "mind", "consciousness", or the "experiences" of the machine. "Consciousness", as far as neurology can determine, is not something that can deduced from the behavior of an agent: it is always possible that the machine is ''simulating'' the experience of consciousness, without actually experiencing it, similar to the way a perfectly written fictional character might simulate a person with consciousness.
Thus, the PSSH is not relevant to positions which refer to "mind" or "consciousness", such as John Searle
John Rogers Searle (; born July 31, 1932) is an American philosopher widely noted for contributions to the philosophy of language, philosophy of mind, and social philosophy. He began teaching at UC Berkeley in 1959 and was Willis S. and Mario ...
's Strong AI hypothesis:
Evidence against the hypothesis
Nils Nilsson has identified four main "themes" or grounds in which the physical symbol system hypothesis has been attacked.
#The "erroneous claim that the hysical symbol system hypothesislacks symbol grounding" which is presumed to be a requirement for general intelligent action.
#The common belief that AI requires non-symbolic processing (that which can be supplied by a connectionist architecture for instance).
#The common statement that the brain is simply not a computer and that "computation as it is currently understood, does not provide an appropriate model for intelligence".
#And last of all that it is also believed in by some that the brain is essentially mindless, most of what takes place are chemical reactions and that human intelligent behaviour is analogous to the intelligent behaviour displayed for example by ant colonies.
Evidence the brain does not always use symbols
If the human brain does not use symbolic reasoning to create intelligent behavior, then the necessary side of the hypothesis is false, and human intelligence is the counter-example.
Dreyfus
Hubert Dreyfus
Hubert Lederer Dreyfus ( ; October 15, 1929 – April 22, 2017) was an American philosopher and a professor of philosophy at the University of California, Berkeley. His main interests included phenomenology, existentialism and the philosophy of ...
attacked the necessary condition of the physical symbol system hypothesis, calling it "the psychological assumption" and defining it thus:
* ''The mind can be viewed as a device operating on bits of information according to formal rules.''
Dreyfus refuted this by showing that human intelligence and expertise depended primarily on unconscious instincts rather than conscious symbolic manipulation. Experts solve problems quickly by using their intuitions, rather than step-by-step trial and error searches. Dreyfus argued that these unconscious skills would never be captured in formal rules.[, , . See also and ]
Tversky and Kahnemann
Embodied cognition
George Lakoff
George Philip Lakoff ( ; born May 24, 1941) is an American cognitive linguist and philosopher, best known for his thesis that people's lives are significantly influenced by the conceptual metaphors they use to explain complex phenomena.
The ...
, Mark Turner and others have argued that our abstract skills in areas such as mathematic
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
s, ethic
Ethics is the philosophy, philosophical study of Morality, moral phenomena. Also called moral philosophy, it investigates Normativity, normative questions about what people ought to do or which behavior is morally right. Its main branches inclu ...
s and 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 ...
depend on unconscious skills that derive from the body, and that conscious symbol manipulation is only a small part of our intelligence.
Evidence that symbolic AI can't efficiently generate intelligence for all problems
It is impossible to prove that symbolic AI will ''never'' produce general intelligence, but if we can not find an efficient way to solve particular problems with symbolic AI, this is evidence that the sufficient side of the PSSH is unlikely to be true.
Intractability
Common sense knowledge, frame, qualification and ramification problems
Moravec's paradox
Evidence that sub-symbolic or neurosymbolic AI programs can generate intelligence
If sub-symbolic AI programs, such as deep learning
Deep learning is a subset of machine learning that focuses on utilizing multilayered neural networks to perform tasks such as classification, regression, and representation learning. The field takes inspiration from biological neuroscience a ...
, can intelligently solve problems, then this is evidence that the necessary side of the PSSH is false.
If hybrid approaches that combine symbolic AI with other approaches can efficiently solve a wider range of problems than either technique alone, this is evidence that the necessary side is true and the sufficiency side is false.
Brooks
Rodney Brooks
Rodney Allen Brooks (born 30 December 1954) is an Australian robotics, roboticist, Fellow of the Australian Academy of Science, author, and robotics entrepreneur, most known for popularizing the behavior based robotics, actionist approach to ro ...
of MIT
The Massachusetts Institute of Technology (MIT) is a private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of modern technology and sc ...
was able to build robots that had superior ability to move and survive without the use of symbolic reasoning at all. Brooks (and others, such as Hans Moravec
Hans Peter Moravec (born November 30, 1948, Kautzen, Austria) is a computer scientist and an adjunct faculty member at the Robotics Institute of Carnegie Mellon University in Pittsburgh, USA. He is known for his work on robotics, artificial inte ...
) discovered that our most basic skills of motion, survival, perception, balance and so on did not seem to require high-level symbols at all, that in fact, the use of high-level symbols was more complicated and less successful.
In a 1990 paper ''Elephants Don't Play Chess'', Rodney Brooks took direct aim at the physical symbol system hypothesis, arguing that symbols are not always necessary since "the world is its own best model. It is always exactly up to date. It always has every detail there is to be known. The trick is to sense it appropriately and often enough."
Connectionism and deep learning
In 2012 AlexNet
AlexNet is a convolutional neural network architecture developed for image classification tasks, notably achieving prominence through its performance in the ImageNet Large Scale Visual Recognition Challenge (ILSVRC). It classifies images into 1, ...
, a deep learning
Deep learning is a subset of machine learning that focuses on utilizing multilayered neural networks to perform tasks such as classification, regression, and representation learning. The field takes inspiration from biological neuroscience a ...
network, outperformed all other programs in classifying images on ImageNet
The ImageNet project is a large visual database designed for use in Outline of object recognition, visual object recognition software research. More than 14 million images have been hand-annotated by the project to indicate what objects are pictur ...
by a substantial margin. In the years since, deep learning has proved to be much more successful in many domains than symbolic AI.
Hybrid AI
Symbol grounding
See also
* Artificial intelligence, situated approach
* Artificial philosophy
Notes
References
* .
* .
*
*
*
* .
*
*.
* .
* .
* .
* .
*
*
*
*
*
*
*
*
*
*
{{DEFAULTSORT:Physical Symbol System
Cognitive science
Philosophy of artificial intelligence
Formal systems
Cognitive modeling