Numerical symbols as explanations of human perceptual experience

2018 ◽  
Author(s):  
David Barner

Why did humans develop precise systems for measuring experience, like numbers, clocks, andcalendars? I argue that precise representational systems were constructed by earlier generationsof humans because they recognized that their noisy perceptual systems were not capturingdistinctions that existed in the world. Abstract symbolic systems did not arise from perceptualrepresentations, but instead were constructed to describe and explain perceptual experience. Byanalogy, I argue that when children learn number words, they do not rely on noisy perceptualsystems, but instead acquire these words as units in a broader system of procedures, whosemeanings are ultimately defined by logical relations to one another, not perception.

2016 ◽  
Author(s):  
David Barner

Perceptual representations – e.g., of objects or approximate magnitudes –are often invoked as building blocks that children combine with linguisticsymbols when they acquire the positive integers. Systems of numericalperception are either assumed to contain the logical foundations ofarithmetic innately, or to supply the basis for their induction. Here Ipropose an alternative to this general framework, and argue that theintegers are not learned from perceptual systems, but instead arise toexplain perception as part of language acquisition. Drawing oncross-linguistic data and developmental data, I show that small numbers(1-4) and large numbers (~5+) arise both historically and in individualchildren via entirely distinct mechanisms, constituting independentlearning problems, neither of which begins with perceptual building blocks.Specifically, I propose that children begin by learning small numbers(i.e., *one, two, three*) using the same logical resources that supportother linguistic markers of number (e.g., singular, plural). Several yearslater, children discover the logic of counting by inferring the logicalrelations between larger number words from their roles in blind countingprocedures, and only incidentally associate number words with perception ofapproximate magnitudes, in an *ad hoc* and highly malleable fashion.Counting provides a form of explanation for perception but is not causallyderived from perceptual systems.


Public Voices ◽  
2017 ◽  
Vol 9 (1) ◽  
pp. 73
Author(s):  
Paul Burgess

The author contends that throughout the duration of the present conflict in NorthernIreland, the world has been repeatedly given a one-dimensional image of this culture depicting it as mainly a product of ethnicity and also a reflection of class sentiment and lived experience.As drummer and songwriter of Ruefrex, a musical band internationally renowned for its songs about the Troubles conflict in Northern Ireland, Burgess discusses the need to express Protestant cultural traditions and identity through words and music. Citing Weber’s argument that individuals need to understand the world and their environment and that this understanding is influenced by perceptions of world order and attitudes and interpretations of symbolic systems or structures, the author argues that losing the importance of symbolic structures in relation to actual events will result in failure to understand why communities embrace meaning systems that are centrally informed by symbol and ritual. In his mind, rather than seeking to promote an understanding of Protestant or Catholic reality, it is important to speculate how the practice of difference might be used in developing any kind of reality of co-operation and co-ordination


Author(s):  
James Deery

AbstractFor some, the states and processes involved in the realisation of phenomenal consciousness are not confined to within the organismic boundaries of the experiencing subject. Instead, the sub-personal basis of perceptual experience can, and does, extend beyond the brain and body to implicate environmental elements through one’s interaction with the world. These claims are met by proponents of predictive processing, who propose that perception and imagination should be understood as a product of the same internal mechanisms. On this view, as visually imagining is not considered to be world-involving, it is assumed that world-involvement must not be essential for perception, and thus internalism about the sub-personal basis is true. However, the argument for internalism from the unity of perception and imagination relies for its strength on a questionable conception of the relationship between the two experiential states. I argue that proponents of the predictive approach are guilty of harbouring an implicit commitment to the common kind assumption which does not follow trivially from their framework. That is, the assumption that perception and imagination are of the same fundamental kind of mental event. I will argue that there are plausible alternative ways of conceiving of this relationship without drawing internalist metaphysical conclusions from their psychological theory. Thus, the internalist owes the debate clarification of this relationship and further argumentation to secure their position.


2021 ◽  
pp. 40-79
Author(s):  
Hilary Kornblith

Knowledge may be examined from the third-person perspective, as psychologists and sociologists do, or it may be examined from the first-person perspective, as each of us does when we reflect on what we ought to believe. This chapter takes the third-person perspective. One obvious source of knowledge is perception, and some general features of how our perceptual systems are able to pick up information about the world around us are highlighted. The role of the study of visual illusions in this research is an important focus of the chapter. Our ability to draw out the consequences of things we know by way of inference is another important source of knowledge, and some general features of how inference achieves its successes are discussed. Structural similarities between the ways in which perception works and the ways in which inference works are highlighted.


Author(s):  
Brian Rogers

The word ‘perception’ can be used in two different ways. It can refer to our experience of seeing, hearing, touching, tasting, and smelling objects and individuals around us. It can also refer to the processes that allow us to extract information from the patterns of energy that impinge on our sense organs. Thinking about perception as a set of processes has the advantage that it includes situations where there is no subjective experience. ‘What is perception?’ explains that sometimes our perceptual systems can be fooled and we experience illusions. Is this because of past experience and our knowledge of the world, or is it that we are not extracting the information in the patterns of energy reaching our senses?


Author(s):  
Angelo Loula ◽  
João Queiroz

The topic of representation acquisition, manipulation and use has been a major trend in Artificial Intelligence since its beginning and persists as an important matter in current research. Particularly, due to initial focus on development of symbolic systems, this topic is usually related to research in symbol grounding by artificial intelligent systems. Symbolic systems, as proposed by Newell & Simon (1976), are characterized as a highlevel cognition system in which symbols are seen as “[lying] at the root of intelligent action” (Newell and Simon, 1976, p.83). Moreover, they stated the Physical Symbol Systems Hypothesis (PSSH), making the strong claim that “a physical symbol system has the necessary and sufficient means for general intelligent action” (p.87). This hypothesis, therefore, sets equivalence between symbol systems and intelligent action, in such a way that every intelligent action would be originated in a symbol system and every symbol system is capable of intelligent action. The symbol system described by Newell and Simon (1976) is seen as a computer program capable of manipulating entities called symbols, ‘physical patterns’ combined in expressions, which can be created, modified or destroyed by syntactic processes. Two main capabilities of symbol systems were said to provide the system with the properties of closure and completeness, and so the system itself could be built upon symbols alone (Newell & Simon, 1976). These capabilities were designation – expressions designate objects – and interpretation – expressions could be processed by the system. The question was, and much of the criticism about symbol systems came from it, how these systems, built upon and manipulating just symbols, could designate something outside its domain. Symbol systems lack ‘intentionality’, stated John Searle (1980), in an important essay in which he described a widely known mental experiment (Gedankenexperiment), the ‘Chinese Room Argument’. In this experiment, Searle places himself in a room where he is given correlation rules that permits him to determine answers in Chinese to question also in Chinese given to him, although Searle as the interpreter knows no Chinese. To an outside observer (who understands Chinese), the man in this room understands Chinese quite well, even though he is actually manipulating non-interpreted symbols using formal rules. For an outside observer the symbols in the questions and answers do represent something, but for the man in the room the symbols lack intentionality. The man in the room acts like a symbol system, which relies only in symbolic structures manipulation by formal rules. For such systems, the manipulated tokens are not about anything, and so they cannot even be regarded as representations. The only intentionality that can be attributed to these symbols belongs to who ever uses the system, sending inputs that represent something to them and interpreting the output that comes out of the system. (Searle, 1980) Therefore, intentionality is the important feature missing in symbol systems. The concept of intentionality is of aboutness, a “feature of certain mental states by which they are directed at or about objects and states of affairs in the world” (Searle, 1980), as a thought being about a certain place.1 Searle (1980) points out that a ‘program’ itself can not achieve intentionality, because programs involve formal relations and intentionality depends on causal relations. Along these lines, Searle leaves a possibility to overcome the limitations of mere programs: ‘machines’ – physical systems causally connected to the world and having ‘causal internal powers’ – could reproduce the necessary causality, an approach in the same direction of situated and embodied cognitive science and robotics. It is important to notice that these ‘machines’ should not be just robots controlled by a symbol system as described before. If the input does not come from a keyboard and output goes to a monitor, but rather came in from a video camera and then out to motors, it would not make a difference since the symbol system is not aware of this change. And still in this case, the robot would not have intentional states (Searle 1980). Symbol systems should not depend on formal rules only, if symbols are to represent something to the system. This issue brought in another question, how symbols could be connected to what they represent, or, as stated by Harnad (1990) defining the Symbol Grounding Problem: “How can the semantic interpretation of a formal symbol system be made intrinsic to the system, rather than just parasitic on the meanings in our heads? How can the meanings of the meaningless symbol tokens, manipulated solely on the basis of their (arbitrary) shapes, be grounded in anything but other meaningless symbols?” The Symbol Grounding Problem, therefore, reinforces two important matters. First that symbols do not represent anything to a system, at least not what they were said to ‘designate’. Only someone operating the system could recognize those symbols as referring to entities outside the system. Second, the symbol system cannot hold its closure in relating symbols only with other symbols; something else should be necessary to establish a connection between symbols and what they represent. An analogy made by Harnad (1990) is with someone who knows no Chinese but tries to learn Chinese from a Chinese/Chinese dictionary. Since terms are defined by using other terms and none of them is known before, the person is kept in a ‘dictionary-goround’ without ever understanding those symbols. The great challenge for Artificial Intelligence researchers then is to connect symbols to what they represent, and also to identify the consequences that the implementation of such connection would make to a symbol system, e.g. much of the descriptions of symbols by means of other symbols would be unnecessary when descriptions through grounding are available. It is important to notice that the grounding process is not just about giving sensors to an artificial system so it would be able to ‘see’ the world, since it ‘trivializes’ the symbol grounding problem and ignores the important issue about how the connection between symbols and objects are established (Harnad, 1990).


1998 ◽  
Vol 21 (6) ◽  
pp. 781-796 ◽  
Author(s):  
Luiz Pessoa ◽  
Evan Thompson ◽  
Alva Noë

The following points are discussed in response to the commentaries: (1) A taxonomy of perceptual completion phenomena should rely on both phenomenological and mechanistic criteria. (2) Certain forms of perceptual completion are caused by topographically organized neural processes – neural filling-in. (3) The bridge locus, understood as the final site of perceptual experience in the brain, should be replaced by the principle that each token percept has a neural substrate that is nomically sufficient for it, all else being equal. (4) Analytic isomorphism – the view that there must be a pictorial or spatial neural-perceptual isomorphism at the bridge locus – should be rejected. Although more abstract kinds of isomorphism are central to the neural-perceptual mapping, the perceptual cannot be exhaustively explained in terms of the neural, and therefore the explanation of perception cannot be reduced to uncovering neural-perceptual isomorphisms. (5) The task of vision is to guide action in the world, not to construct a detailed world-model in the head. (6) Neural filling-in facilitates the integration of information and thereby helps the animal find out about its environment. (7) Perceptual content needs to be understood at the level of the person or animal interacting in the world.


2012 ◽  
Vol 367 (1591) ◽  
pp. 896-905 ◽  
Author(s):  
Jean-Luc Schwartz ◽  
Nicolas Grimault ◽  
Jean-Michel Hupé ◽  
Brian C. J. Moore ◽  
Daniel Pressnitzer

This special issue presents research concerning multistable perception in different sensory modalities. Multistability occurs when a single physical stimulus produces alternations between different subjective percepts. Multistability was first described for vision, where it occurs, for example, when different stimuli are presented to the two eyes or for certain ambiguous figures. It has since been described for other sensory modalities, including audition, touch and olfaction. The key features of multistability are: (i) stimuli have more than one plausible perceptual organization; (ii) these organizations are not compatible with each other. We argue here that most if not all cases of multistability are based on competition in selecting and binding stimulus information. Binding refers to the process whereby the different attributes of objects in the environment, as represented in the sensory array, are bound together within our perceptual systems, to provide a coherent interpretation of the world around us. We argue that multistability can be used as a method for studying binding processes within and across sensory modalities. We emphasize this theme while presenting an outline of the papers in this issue. We end with some thoughts about open directions and avenues for further research.


1973 ◽  
Vol 3 (1) ◽  
pp. 59-75 ◽  
Author(s):  
C. A. Hooker

In recent times it has become fashionable to emphasize the role of conceptual change in the (philosopher's) history of science. To judge from recent writers (Feyerabend 5-9, Kuhn 18), every significant theoretical change in science is first and foremost a revolution in scientific concepts—a conceptual revolution. According to this view, every level of experience is affected by each fundamental theoretical change: physical theory, experimental practice and even perceptual experience. The Aristotelian patrician who watched the sun sink beneath the horizon not only had different beliefs (theory) about the phenomenon but actually saw something different from the Newtonian gentleman who saw the horizon rise above his eye-sun line, and the Einsteinian professional who saw the sun's varying geometrical relations to the world light-geodesics on which successive temporal stages of his eye world-line lay. Moreover, such is the completeness of the conceptual-experiential shifts undergone in a fundamental scientific change that it is impossible to meaningfully discuss the one theory within the confines of the other or, indeed, to provide any systematic, cumulative comparison of successive theories.


2015 ◽  
Vol 3 (1) ◽  
pp. 117-137 ◽  
Author(s):  
Christopher W. Tyler

There is a widespread belief in art praxis that linear perspective is only a geometric approximation to the ‘true’ properties of perspective as experienced in the perception of the world, which are thought to involve some form of curvilinear perspective. The origins of that belief are examined from Roman times to the present, with a focus on the generation of perspective curvature by the active viewer as a means of elucidating the underlying perceptual principles involved. It is concluded that the only valid form of perspective for the flat canvas is linear perspective, and that it is valid only for a viewing location at the geometric center of projection for which the picture was constructed. Viewing from any other location (particularly in the case of wide-field images viewed from greater than the required distance) generates perceived distortions that have often been misinterpreted to imply that linear perspective geometry is inadequate and that some form of curvilinear perspective would be more representative. However, as long as it is viewed with one eye from the center of projection, the perceptual experience of accurate linear perspective is of a full, explorable 3D space, in contrast to any other form of perspective convention.


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