About this topic
Summary Digital computation is computation using digital representations; analog computation is computation using analog representations. While this distinction is largely understood in practice, a precise account of the difference has been of some philosophical interest. Not all differences between the two kinds of representation are essential, and philosophical accounts of which differences are essential comprise most of this literature.
Key works The first serious discussion of analog versus digital representation is found in Goodman 1968. Further discussion is found in Lewis 1971 and Haugeland 1981. Katz 2008 defends Haugeland's view, and a more recent defense and extension of Lewis's ideas is presented in Maley 2011.
Introductions The best introduction to the analog/digital distinction is that presented in Goodman 1968, and Lewis's refutation in Lewis 1971.
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  1. David Wolpert on impossibility, incompleteness, the liar paradox, the limits of computation, a non-quantum mechanical uncertainty principle and the universe as computer—the ultimate theorem in Turing Machine Theory.Michael Starks - manuscript
    I have read many recent discussions of the limits of computation and the universe as computer, hoping to find some comments on the amazing work of polymath physicist and decision theorist David Wolpert but have not found a single citation and so I present this very brief summary. Wolpert proved some stunning impossibility or incompleteness theorems (1992 to 2008-see arxiv.org) on the limits to inference (computation) that are so general they are independent of the device doing the computation, and even (...)
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  2. (1 other version)Il valore dell'educazione e del lavoro nella società dell'immagine.G. Avellino - forthcoming - Atti Del Convegno Nazionale Della Società Filosofica Italiana (Università Cattolica di Milano, Aprile 2024).
    The aim of this intervention is to briefly advance an interpretation of the post- COVID19 digitalisation processes as to be recognised within the philosophical framework of Vorstellung Metaphysik, “metaphysics of representation”. I would maintain that the formula, firstly indicated by Martin Heidegger, can provide us with a tool to interpret contemporary culture as founded on an “iteration” of individual and collective consciousness into non-existent digital realities. Moreover, I will argue that these concepts are philosophically relatable to those of alienation and (...)
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  3. Analog Mental Representation.Jacob Beck - forthcoming - WIREs Cognitive Science.
    Over the past 50 years, philosophers and psychologists have perennially argued for the existence of analog mental representations of one type or another. This study critically reviews a number of these arguments as they pertain to three different types of mental representation: perceptual representations, imagery representations, and numerosity representations. Along the way, careful consideration is given to the meaning of “analog” presupposed by these arguments for analog mental representation, and to open avenues for future research.
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  4. Between Perception and Thought.Jacob Beck - forthcoming - Philosophy and Phenomenological Research.
    In The Border between Seeing and Thinking, Ned Block argues that the distinction between perception and cognition should be grounded in representational format. I object that cognition is multifaceted, and includes representations with the same format as some perceptual representations. We can save Block’s view by interpreting it as concerning the border between one elite species of cognition—namely, propositional thought—and everything below it, including perception. But that leaves the border between perception and cognition in general unexplained. To fill this gap, (...)
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  5. Structure and Dynamics in Implementation of Computations.Jacques Mallah - forthcoming - In Yasemin J. Erden (ed.), Proceedings of the 7th AISB Symposium on Computing and Philosophy:. AISB.
    Without a proper restriction on mappings, virtually any system could be seen as implementing any computation. That would not allow characterization of systems in terms of implemented computations and is not compatible with a computationalist philosophy of mind. Information-based criteria for independence of substates within structured states are proposed as a solution. Objections to the use of requirements for transitions in counterfactual states are addressed, in part using the partial-brain argument as a general counterargument to neural replacement arguments.
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  6. How Imagination Informs.Joshua Myers - forthcoming - Philosophical Quarterly.
    An influential objection to the epistemic power of the imagination holds that it is uninformative. You cannot get more out of the imagination than you put into it, and therefore learning from the imagination is impossible. This paper argues, against this view, that the imagination is robustly informative. Moreover, it defends a novel account of how the imagination informs, according to which the imagination is informative in virtue of its analog representational format. The core idea is that analog representations represent (...)
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  7. A virtual solution to the frame problem.Jonathan A. Waskan - forthcoming - Proceedings of the First IEEE-RAS International Conference on Humanoid Robots.
    We humans often respond effectively when faced with novel circumstances. This is because we are able to predict how particular alterations to the world will play out. Philosophers, psychologists, and computational modelers have long favored an account of this process that takes its inspiration from the truth-preserving powers of formal deduction techniques. There is, however, an alternative hypothesis that is better able to account for the human capacity to predict the consequences worldly alterations. This alternative takes its inspiration from the (...)
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  8. Contents and Vehicles in Analog Perception.Jacob Beck - 2023 - Crítica. Revista Hispanoamericana de Filosofía 55 (163):109–127.
    Building on Christopher Peacocke’s account of analog perceptual contentand my own account of analog perceptual vehicles, I defend three claims: that theperception of magnitudes often has analog contents; that the perception of magni-tudes often has analog vehicles; and that the first claim is true in virtue of the second—that is, the analog vehicles help to ground the analog contents.
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  9. The Formats of Cognitive Representation: A Computational Account.Dimitri Coelho Mollo & Alfredo Vernazzani - 2023 - Philosophy of Science (3):682-701.
    Cognitive representations are typically analysed in terms of content, vehicle and format. While current work on formats appeals to intuitions about external representations, such as words and maps, in this paper we develop a computational view of formats that does not rely on intuitions. In our view, formats are individuated by the computational profiles of vehicles, i.e., the set of constraints that fix the computational transformations vehicles can undergo. The resulting picture is strongly pluralistic, it makes space for a variety (...)
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  10. The Structure of Analog Representation.Andrew Y. Lee, Joshua Myers & Gabriel Oak Rabin - 2023 - Noûs 57 (1):209-237.
    This paper develops a theory of analog representation. We first argue that the mark of the analog is to be found in the nature of a representational system’s interpretation function, rather than in its vehicles or contents alone. We then develop the rulebound structure theory of analog representation, according to which analog systems are those that use interpretive rules to map syntactic structural features onto semantic structural features. The theory involves three degree-theoretic measures that capture three independent ways in which (...)
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  11. Position paper on ethical, legal and social challenges linked to audio- and video-based AAL solutions.Alin Ake-Kob, Slavisa Aleksic, Zoltán Alexin, Aurelija Blaževičiene, Anto Čartolovni, Liane Colonna, Carina Dantas, Anton Fedosov, Eduard Fosch-Villaronga, Francisco Florez-Revuelta, Zhicheng He, Aleksandar Jevremović, Andrzej Klimczuk, Maksymilian Kuźmicz, Lambros Lambrinos, Christoph Lutz, Anamaria Malešević, Renata Mekovec, Cristina Miguel, Tamar Mujirishvili, Zada Pajalic, Rodrigo Perez Vega, Barbara Pierscionek, Siddharth Ravi, Pika Sarf, Agusti Solanas & Aurelia Tamo-Larrieux - 2022 - Https://Goodbrother.Eu/.
    In this position paper, we have used Alan Cooper’s persona technique to illustrate the utility of audio- and video-based AAL technologies. Therefore, two primary examples of potential audio- and video-based AAL users, Anna and Irakli, serve as reference points for describing salient ethical, legal and social challenges related to use of AAL. These challenges are presented on three levels: individual, societal, and regulatory. For each challenge, a set of policy recommendations is suggested.
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  12. Mind as Machine: The Influence of Mechanism on the Conceptual Foundations of the Computer Metaphor.Pavel Baryshnikov - 2022 - RUDN Journal of Philosophy 26 (4):755-769.
    his article will focus on the mechanistic origins of the computer metaphor, which forms the conceptual framework for the methodology of the cognitive sciences, some areas of artificial intelligence and the philosophy of mind. The connection between the history of computing technology, epistemology and the philosophy of mind is expressed through the metaphorical dictionaries of the philosophical discourse of a particular era. The conceptual clarification of this connection and the substantiation of the mechanistic components of the computer metaphor is the (...)
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  13. Urban scale digital twins in data-driven society: Challenging digital universalism in urban planning decision-making.Marianna Charitonidou - 2022 - International Journal of Architectural Computing 19:1-16.
    The article examines the impact of the virtual public sphere on how urban spaces are experienced and conceived in our data-driven society. It places particular emphasis on urban scale digital twins, which are virtual replicas of cities that are used to simulate environments and develop scenarios in response to policy problems. The article also investigates the shift from the technical to the socio-technical perspective within the field of smart cities. Despite the aspirations of urban scale digital twins to enhance the (...)
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  14. Digital Praxis: Notes on a Phenomenological Synthesis.Íñigo García-Moncó - 2022 - Argumentos de Razón Técnica 15:255-274.
    This paper aims to provide a general phenomenological framework for the study of digital experiences as technological praxis. This approach is built through a synthesis of the categories proper to different currents of thought such as Merleau-Ponty's bodily phenomenology, the postphenomenology of Don Ihde and his school, hermeneutics and information theories. These notes develop a progressive analysis of the phenomenal dimensions that take place in the user-device interaction, from the stimulus base to virtual recreations. Through the intersubjective relationship with the (...)
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  15. Being and the screen: How the digital changes perception. [REVIEW]Anthony Longo - 2022 - Information, Communication and Society 26 (14):2881-2884.
  16. Counting with Cilia: The Role of Morphological Computation in Basal Cognition Research.Wiktor Rorot - 2022 - Entropy 24 (11):1581.
    “Morphological computation” is an increasingly important concept in robotics, artificial intelligence, and philosophy of the mind. It is used to understand how the body contributes to cognition and control of behavior. Its understanding in terms of "offloading" computation from the brain to the body has been criticized as misleading, and it has been suggested that the use of the concept conflates three classes of distinct processes. In fact, these criticisms implicitly hang on accepting a semantic definition of what constitutes computation. (...)
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  17. Unrealistic models for realistic computations: how idealisations help represent mathematical structures and found scientific computing.Philippos Papayannopoulos - 2020 - Synthese 199 (1-2):249-283.
    We examine two very different approaches to formalising real computation, commonly referred to as “Computable Analysis” and “the BSS approach”. The main models of computation underlying these approaches—bit computation and BSS, respectively—have also been put forward as appropriate foundations for scientific computing. The two frameworks offer useful computability and complexity results about problems whose underlying domain is an uncountable space. Since typically the problems dealt with in physical sciences, applied mathematics, economics, and engineering are also defined in uncountable domains, it (...)
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  18. Perception is Analog: The Argument from Weber's Law.Jacob Beck - 2019 - Journal of Philosophy 116 (6):319-349.
    In the 1980s, a number of philosophers argued that perception is analog. In the ensuing years, these arguments were forcefully criticized, leaving the thesis in doubt. This paper draws on Weber’s Law, a well-entrenched finding from psychophysics, to advance a new argument that perception is analog. This new argument is an adaptation of an argument that cognitive scientists have leveraged in support of the contention that primitive numerical representations are analog. But the argument here is extended to the representation of (...)
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  19. Omnipresent Maxwell’s demons orchestrate information management in living cells.Antoine Danchin Gregory Boel, Olivier Danot, Victor de Lorenzo & Antoine Danchin - 2019 - Microbial Biotechnology 12 (2):210-242.
    The development of synthetic biology calls for accurate understanding of the critical functions that allow construction and operation of a living cell. Besides coding for ubiquitous structures, minimal genomes encode a wealth of functions that dissipate energy in an unanticipated way. Analysis of these functions shows that they are meant to manage information under conditions when discrimination of substrates in a noisy background is preferred over a simple recognition process. We show here that many of these functions, including transporters and (...)
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  20. Computing, Modelling, and Scientific Practice: Foundational Analyses and Limitations.Filippos A. Papagiannopoulos - 2018 - Dissertation, University of Western Ontario
    This dissertation examines aspects of the interplay between computing and scientific practice. The appropriate foundational framework for such an endeavour is rather real computability than the classical computability theory. This is so because physical sciences, engineering, and applied mathematics mostly employ functions defined in continuous domains. But, contrary to the case of computation over natural numbers, there is no universally accepted framework for real computation; rather, there are two incompatible approaches --computable analysis and BSS model--, both claiming to formalise algorithmic (...)
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  21. Objective Computation Versus Subjective Computation.Nir Fresco - 2015 - Erkenntnis 80 (5):1031-1053.
    The question ‘What is computation?’ might seem a trivial one to many, but this is far from being in consensus in philosophy of mind, cognitive science and even in physics. The lack of consensus leads to some interesting, yet contentious, claims, such as that cognition or even the universe is computational. Some have argued, though, that computation is a subjective phenomenon: whether or not a physical system is computational, and if so, which computation it performs, is entirely a matter of (...)
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  22. Why Digital Pictures Are Not Notational Representations.John Zeimbekis - 2015 - Journal of Aesthetics and Art Criticism 73 (4):449-453.
  23. The world is either digital or analogue.Francesco Berto & Jacopo Tagliabue - 2014 - Synthese 191 (3):481-497.
    We address an argument by Floridi (Synthese 168(1):151–178, 2009; 2011a), to the effect that digital and analogue are not features of reality, only of modes of presentation of reality. One can therefore have an informational ontology, like Floridi’s Informational Structural Realism, without commitment to a supposedly digital or analogue world. After introducing the topic in Sect. 1, in Sect. 2 we explain what the proposition expressed by the title of our paper means. In Sect. 3, we describe Floridi’s argument. In (...)
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  24. The instructional information processing account of digital computation.Nir Fresco & Marty J. Wolf - 2014 - Synthese 191 (7):1469-1492.
    What is nontrivial digital computation? It is the processing of discrete data through discrete state transitions in accordance with finite instructional information. The motivation for our account is that many previous attempts to answer this question are inadequate, and also that this account accords with the common intuition that digital computation is a type of information processing. We use the notion of reachability in a graph to defend this characterization in memory-based systems and underscore the importance of instructional information for (...)
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  25. Pancomputationalism: Theory or metaphor?Vincent C. Müller - 2014 - In Ruth Hagenbruger & Uwe V. Riss (eds.), Philosophy, computing and information science. Pickering & Chattoo. pp. 213-221.
    The theory that all processes in the universe are computational is attractive in its promise to provide an understandable theory of everything. I want to suggest here that this pancomputationalism is not sufficiently clear on which problem it is trying to solve, and how. I propose two interpretations of pancomputationalism as a theory: I) the world is a computer and II) the world can be described as a computer. The first implies a thesis of supervenience of the physical over computation (...)
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  26. Varieties of Analog and Digital Representation.Whit Schonbein - 2014 - Minds and Machines 24 (4):415-438.
    The ‘received view’ of the analog–digital distinction holds that analog representations are continuous while digital representations are discrete. In this paper I first provide support for the received view by showing how it (1) emerges from the theory of computation, and (2) explains engineering practices. Second, I critically assess several recently offered alternatives, arguing that to the degree they are justified they demonstrate not that the received view is incorrect, but rather that distinct senses of the terms have become entrenched (...)
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  27. Information Processing as an Account of Concrete Digital Computation.Nir Fresco - 2013 - Philosophy and Technology 26 (1):31-60.
    It is common in cognitive science to equate computation (and in particular digital computation) with information processing. Yet, it is hard to find a comprehensive explicit account of concrete digital computation in information processing terms. An information processing account seems like a natural candidate to explain digital computation. But when ‘information’ comes under scrutiny, this account becomes a less obvious candidate. Four interpretations of information are examined here as the basis for an information processing account of digital computation, namely Shannon (...)
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  28. What is a digital state?Vincent C. Müller - 2013 - In Mark J. Bishop & Yasemin Erden (eds.), The Scandal of Computation - What is Computation? - AISB Convention 2013. AISB. pp. 11-16.
    There is much discussion about whether the human mind is a computer, whether the human brain could be emulated on a computer, and whether at all physical entities are computers (pancomputationalism). These discussions, and others, require criteria for what is digital. I propose that a state is digital if and only if it is a token of a type that serves a particular function - typically a representational function for the system. This proposal is made on a syntactic level, assuming (...)
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  29. Cellular automata.Francesco Berto & Jacopo Tagliabue - 2012 - Stanford Encyclopedia of Philosophy.
    Cellular automata (henceforth: CA) are discrete, abstract computational systems that have proved useful both as general models of complexity and as more specific representations of non-linear dynamics in a variety of scientific fields. Firstly, CA are (typically) spatially and temporally discrete: they are composed of a finite or denumerable set of homogeneous, simple units, the atoms or cells. At each time unit, the cells instantiate one of a finite set of states. They evolve in parallel at discrete time steps, following (...)
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  30. Digital immortality: Self or 0010110?Liz Stillwaggon Swan & Joshua Howard - 2012 - International Journal of Machine Consciousness 4 (01):245-256.
  31. A dialogue concerning two world systems: Info-computational vs. mechanistic.Gordana Dodig-Crnkovic & Vincent C. Müller - 2011 - In Gordana Dodig Crnkovic & Mark Burgin (eds.), Information and computation: Essays on scientific and philosophical understanding of foundations of information and computation. World Scientific. pp. 149-184.
    The dialogue develops arguments for and against a broad new world system - info-computationalist naturalism - that is supposed to overcome the traditional mechanistic view. It would make the older mechanistic view into a special case of the new general info-computationalist framework (rather like Euclidian geometry remains valid inside a broader notion of geometry). We primarily discuss what the info-computational paradigm would mean, especially its pancomputationalist component. This includes the requirements for a the new generalized notion of computing that would (...)
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  32. Analog and digital, continuous and discrete.Corey J. Maley - 2011 - Philosophical Studies 155 (1):117-131.
    Representation is central to contemporary theorizing about the mind/brain. But the nature of representation--both in the mind/brain and more generally--is a source of ongoing controversy. One way of categorizing representational types is to distinguish between the analog and the digital: the received view is that analog representations vary smoothly, while digital representations vary in a step-wise manner. I argue that this characterization is inadequate to account for the ways in which representation is used in cognitive science; in its place, I (...)
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  33. On the Possibilities of Hypercomputing Supertasks.Vincent C. Müller - 2011 - Minds and Machines 21 (1):83-96.
    This paper investigates the view that digital hypercomputing is a good reason for rejection or re-interpretation of the Church-Turing thesis. After suggestion that such re-interpretation is historically problematic and often involves attack on a straw man (the ‘maximality thesis’), it discusses proposals for digital hypercomputing with Zeno-machines , i.e. computing machines that compute an infinite number of computing steps in finite time, thus performing supertasks. It argues that effective computing with Zeno-machines falls into a dilemma: either they are specified such (...)
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  34. An association between understanding cardinality and analog magnitude representations in preschoolers.Jennifer B. Wagner & Susan C. Johnson - 2011 - Cognition 119 (1):10-22.
  35. Computation in cognitive science: it is not all about Turing-equivalent computation.Kenneth Aizawa - 2010 - Studies in History and Philosophy of Science Part A 41 (3):227-236.
    It is sometimes suggested that the history of computation in cognitive science is one in which the formal apparatus of Turing-equivalent computation, or effective computability, was exported from mathematical logic to ever wider areas of cognitive science and its environs. This paper, however, indicates some respects in which this suggestion is inaccurate. Computability theory has not been focused exclusively on Turing-equivalent computation. Many essential features of Turing-equivalent computation are not captured in definitions of computation as symbol manipulation. Turing-equivalent computation did (...)
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  36. Brains as analog-model computers.Oron Shagrir - 2010 - Studies in History and Philosophy of Science Part A 41 (3):271-279.
    Computational neuroscientists not only employ computer models and simulations in studying brain functions. They also view the modeled nervous system itself as computing. What does it mean to say that the brain computes? And what is the utility of the ‘brain-as-computer’ assumption in studying brain functions? In previous work, I have argued that a structural conception of computation is not adequate to address these questions. Here I outline an alternative conception of computation, which I call the analog-model. The term ‘analog-model’ (...)
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  37. Susan Stuart & Gordana Dodig Crnkovic : 'Computation, Information, Cognition: The Nexus and the Liminal'. [REVIEW]Vincent C. Müller - 2009 - Cybernetics and Human Knowing 16 (3-4):201-203.
    Review of: "Computation, Information, Cognition: The Nexus and the Liminal", Ed. Susan Stuart & Gordana Dodig Crnkovic, Newcastle: Cambridge Scholars Publishing, September 2007, xxiv+340pp, ISBN: 9781847180902, Hardback: £39.99, $79.99 ---- Are you a computer? Is your cat a computer? A single biological cell in your stomach, perhaps? And your desk? You do not think so? Well, the authors of this book suggest that you think again. They propose a computational turn, a turn towards computational explanation and towards the explanation of (...)
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  38. Analog and digital representation.Matthew Katz - 2008 - Minds and Machines 18 (3):403-408.
    In this paper, I argue for three claims. The first is that the difference between analog and digital representation lies in the format and not the medium of representation. The second is that whether a given system is analog or digital will sometimes depend on facts about the user of that system. The third is that the first two claims are implicit in Haugeland's (1998) account of the distinction.
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  39. Representation in digital systems.Vincent C. Müller - 2008 - In P. Brey, A. Briggle & K. Waelbers (eds.), Current Issues in Computing and Philosophy. IOS Press. pp. 116-121.
    Cognition is commonly taken to be computational manipulation of representations. These representations are assumed to be digital, but it is not usually specified what that means and what relevance it has for the theory. I propose a specification for being a digital state in a digital system, especially a digital computational system. The specification shows that identification of digital states requires functional directedness, either for someone or for the system of which it is a part. In the case or digital (...)
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  40. Computers.Gualtiero Piccinini - 2008 - Pacific Philosophical Quarterly 89 (1):32–73.
    I offer an explication of the notion of computer, grounded in the practices of computability theorists and computer scientists. I begin by explaining what distinguishes computers from calculators. Then, I offer a systematic taxonomy of kinds of computer, including hard-wired versus programmable, general-purpose versus special-purpose, analog versus digital, and serial versus parallel, giving explicit criteria for each kind. My account is mechanistic: which class a system belongs in, and which functions are computable by which system, depends on the system's mechanistic (...)
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  41. (1 other version)Analog Computation and Church’s Thesis.Jerzy Mycka - 2006 - In Adam Olszewski, Jan Wolenski & Robert Janusz (eds.), Church's Thesis After 70 Years. Ontos Verlag. pp. 331-352.
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  42. (1 other version)Some recent developments on Shannon's General Purpose Analog Computer.Daniel Silva Graça - 2004 - Mathematical Logic Quarterly 50 (4-5):473-485.
    This paper revisits one of the first models of analog computation, the General Purpose Analog Computer (GPAC). In particular, we restrict our attention to the improved model presented in [11] and we show that it can be further refined. With this we prove the following: (i) the previous model can be simplified; (ii) it admits extensions having close connections with the class of smooth continuous time dynamical systems. As a consequence, we conclude that some of these extensions achieve Turing universality. (...)
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  43. (1 other version)Some recent developments on Shannon's General Purpose Analog Computer.Daniel Silva Graça - 2004 - Mathematical Logic Quarterly 50 (4-5):473-485.
    This paper revisits one of the first models of analog computation, the General Purpose Analog Computer . In particular, we restrict our attention to the improved model presented in [11] and we show that it can be further refined. With this we prove the following: the previous model can be simplified; it admits extensions having close connections with the class of smooth continuous time dynamical systems. As a consequence, we conclude that some of these extensions achieve Turing universality. Finally, it (...)
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  44. The processing of information (analog/digital) is the causal factor of the emergence of natural hierarchies.Eugenio Andrade - 2003 - Ludus Vitalis 11 (20):85-106.
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  45. A History of Modern Computing.Paul E. Ceruzzi - 2003 - MIT Press.
    Ceruzzi pens a history of computing from the development of the first electronic digital computer to the Web and dot-com crash.
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  46. Neural and super-Turing computing.Hava T. Siegelmann - 2003 - Minds and Machines 13 (1):103-114.
    ``Neural computing'' is a research field based on perceiving the human brain as an information system. This system reads its input continuously via the different senses, encodes data into various biophysical variables such as membrane potentials or neural firing rates, stores information using different kinds of memories (e.g., short-term memory, long-term memory, associative memory), performs some operations called ``computation'', and outputs onto various channels, including motor control commands, decisions, thoughts, and feelings. We show a natural model of neural computing that (...)
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  47. Supermachines and superminds.Eric Steinhart - 2003 - Minds and Machines 13 (1):155-186.
    If the computational theory of mind is right, then minds are realized by machines. There is an ordered complexity hierarchy of machines. Some finite machines realize finitely complex minds; some Turing machines realize potentially infinitely complex minds. There are many logically possible machines whose powers exceed the Church–Turing limit (e.g. accelerating Turing machines). Some of these supermachines realize superminds. Superminds perform cognitive supertasks. Their thoughts are formed in infinitary languages. They perceive and manipulate the infinite detail of fractal objects. They (...)
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  48. On effective procedures.Carol E. Cleland - 2002 - Minds and Machines 12 (2):159-179.
    Since the mid-twentieth century, the concept of the Turing machine has dominated thought about effective procedures. This paper presents an alternative to Turing's analysis; it unifies, refines, and extends my earlier work on this topic. I show that Turing machines cannot live up to their billing as paragons of effective procedure; at best, they may be said to provide us with mere procedure schemas. I argue that the concept of an effective procedure crucially depends upon distinguishing procedures as definite courses (...)
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  49. Chaotic neurons and analog computation.Kazuyuki Aihara & Jun Kyung Ryeu - 2001 - Behavioral and Brain Sciences 24 (5):810-811.
    Chaotic dynamics can be related to analog computation. A possibility of electronically implementing the chaos -driven contracting system in the target article is explored with an analog electronic circuit with inevitable noise from the viewpoint of analog computation with chaotic neurons.
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  50. The Analog-Digital Distinction and the Flow of Information.Paul Jeremiah Bohan Broderick - 2001 - Dissertation, Boston University
    The analog vs. digital distinction is frequently used in computer science, computer technology and elsewhere. However, its precise nature is more elusive than might be expected. This dissertation defines a set of problems hidden within the conventions of ordinary and technical language, and suggests solutions to them. ;Chapter 1 examines ordinary language uses of the analog-digital distinction. Chapter 2 considers its use in technical contexts. There are two main ways of making the distinction that appear in both of the opening (...)
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