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What Proto-logic Could not be

Axiomathes 32 (6):1451-1482 (2022)

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  1. (2 other versions)Mind and World.John McDowell - 1996 - Philosophical Quarterly 46 (182):99-109.
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  • (1 other version)Some philosophical problems from the standpoint of artificial intelligence.John McCarthy & Patrick Hayes - 1969 - In B. Meltzer & Donald Michie, Machine Intelligence 4. Edinburgh University Press. pp. 463--502.
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  • (2 other versions)Inquiry.Robert Stalnaker - 1984 - Synthese 79 (1):171-189.
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  • Abduction, Reason, and Science.L. Magnani - 2001 - Kluwer Academic/Plenum Publishers.
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  • Renewing Philosophy.Hilary Putnam - 1992 - Cambridge, Mass.: Harvard University Press.
    Hilary Putnam, one of America’s most distinguished philosophers, surveys an astonishingly wide range of issues and proposes a new, clear-cut approach to philosophical questions—a renewal of philosophy. He contests the view that only science offers an appropriate model for philosophical inquiry. His discussion of topics from artificial intelligence to natural selection, and of reductive philosophical views derived from these models, identifies the insuperable problems encountered when philosophy ignores the normative or attempts to reduce it to something else.
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  • (2 other versions)On the Very idea of a Conceptual Scheme.Donald Davidson - 1984 - In Inquiries Into Truth And Interpretation. Oxford, GB: Oxford University Press. pp. 183-198.
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  • Phenomenalism.Wilfrid Sellars - 1963 - In Robert Colodny, Science, Perception, and Reality. Humanities Press/Ridgeview. pp. 60-105.
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  • (2 other versions)Languages of Art. An Approach to a Theory of Symbols.Nelson Goodman - 1970 - Critica 4 (11/12):164-171.
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  • The Abductive Structure of Scientific Creativity: An Essay on the Ecology of Cognition.Lorenzo Magnani - 2017 - Cham, Switzerland: Springer Verlag.
    This book employs a new eco-cognitive model of abduction to underline the distributed and embodied nature of scientific cognition. Its main focus is on the knowledge-enhancing virtues of abduction and on the productive role of scientific models. What are the distinctive features that define the kind of knowledge produced by science? To provide an answer to this question, the book first addresses the ideas of Aristotle, who stressed the essential inferential and distributed role of external cognitive tools and epistemic mediators (...)
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  • The cognitive functions of language.Peter Carruthers - 2002 - Behavioral and Brain Sciences 25 (6):657-674.
    This paper explores a variety of different versions of the thesis that natural language is involved in human thinking. It distinguishes amongst strong and weak forms of this thesis, dismissing some as implausibly strong and others as uninterestingly weak. Strong forms dismissed include the view that language is conceptually necessary for thought (endorsed by many philosophers) and the view that language is _de facto_ the medium of all human conceptual thinking (endorsed by many philosophers and social scientists). Weak forms include (...)
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  • Thinking with maps.Elizabeth Camp - 2007 - Philosophical Perspectives 21 (1):145–182.
    Most of us create and use a panoply of non-sentential representations throughout our ordinary lives: we regularly use maps to navigate, charts to keep track of complex patterns of data, and diagrams to visualize logical and causal relations among states of affairs. But philosophers typically pay little attention to such representations, focusing almost exclusively on language instead. In particular, when theorizing about the mind, many philosophers assume that there is a very tight mapping between language and thought. Some analyze utterances (...)
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  • Cognitive maps and the language of thought.Michael Rescorla - 2009 - British Journal for the Philosophy of Science 60 (2):377-407.
    Fodor advocates a view of cognitive processes as computations defined over the language of thought (or Mentalese). Even among those who endorse Mentalese, considerable controversy surrounds its representational format. What semantically relevant structure should scientific psychology attribute to Mentalese symbols? Researchers commonly emphasize logical structure, akin to that displayed by predicate calculus sentences. To counteract this tendency, I discuss computational models of navigation drawn from probabilistic robotics. These models involve computations defined over cognitive maps, which have geometric rather than logical (...)
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  • Why there is no symbol grounding problem?Robert C. Cummins - 1996 - In Robert Cummins, Representations, Targets, and Attitudes. MIT Press.
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  • Hume Variations.Jerry A. Fodor - 2003 - Revue Philosophique de la France Et de l'Etranger 195 (2):243-244.
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  • Thoughtless brutes.Norman Malcolm - 1972 - Proceedings and Addresses of the American Philosophical Association 46 (September):5-20.
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  • So how does the mind work?Steven Pinker - 2005 - Mind and Language 20 (1):1-38.
    In my book How the Mind Works, I defended the theory that the human mind is a naturally selected system of organs of computation. Jerry Fodor claims that 'the mind doesn't work that way'(in a book with that title) because (1) Turing Machines cannot duplicate humans' ability to perform abduction (inference to the best explanation); (2) though a massively modular system could succeed at abduction, such a system is implausible on other grounds; and (3) evolution adds nothing to our understanding (...)
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  • Peirce's Theory of Abduction.K. T. Fann - 1972 - Philosophy 47 (182):377-379.
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  • Predication and cartographic representation.Michael Rescorla - 2009 - Synthese 169 (1):175 - 200.
    I argue that maps do not feature predication, as analyzed by Frege and Tarski. I take as my foil (Casati and Varzi, Parts and places, 1999), which attributes predication to maps. I argue that the details of Casati and Varzi’s own semantics militate against this attribution. Casati and Varzi emphasize what I call the Absence Intuition: if a marker representing some property (such as mountainous terrain) appears on a map, then absence of that marker from a map coordinate signifies absence (...)
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  • Animals, thoughts and concepts.Hans-Johann Glock - 2000 - Synthese 123 (1):35-104.
    There are three main positions on animalthought: lingualism denies that non-linguistic animalshave any thoughts; mentalism maintains that theirthoughts differ from ours only in degree, due totheir different perceptual inputs; an intermediateposition, occupied by common sense and Wittgenstein,maintains that animals can have thoughts of a simplekind. This paper argues in favor of an intermediateposition. It considers the most important arguments infavor of lingualism, namely those inspired byDavidson: the argument from the intensional nature ofthought (Section 1); the idea that thoughts involveconcepts (Sections (...)
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  • Peirce's notion of abduction.Harry G. Frankfurt - 1958 - Journal of Philosophy 55 (14):593-597.
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  • Why we can’t say what animals think.Jacob Beck - 2013 - Philosophical Psychology 26 (4):520–546.
    Realists about animal cognition confront a puzzle. If animals have real, contentful cognitive states, why can’t anyone say precisely what the contents of those states are? I consider several possible resolutions to this puzzle that are open to realists, and argue that the best of these is likely to appeal to differences in the format of animal cognition and human language.
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  • Beyond natural geometry: on the nature of proto-geometry.José Ferreirós & Manuel J. García-Pérez - 2020 - Philosophical Psychology 33 (2):181-205.
    ABSTRACTWe discuss the thesis of universality of geometric notions and offer critical reflections on the concept of “natural geometry” employed by Spelke and others. Promoting interdisciplinary wor...
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  • What is a Logical Diagram?Catherine Legg - 2013 - In Sun-Joo Shin & Amirouche Moktefi, Visual Reasoning with Diagrams. Basel: Birkhaüser. pp. 1-18.
    Robert Brandom’s expressivism argues that not all semantic content may be made fully explicit. This view connects in interesting ways with recent movements in philosophy of mathematics and logic (e.g. Brown, Shin, Giaquinto) to take diagrams seriously - as more than a mere “heuristic aid” to proof, but either proofs themselves, or irreducible components of such. However what exactly is a diagram in logic? Does this constitute a semiotic natural kind? The paper will argue that such a natural kind does (...)
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  • The eco-cognitive model of abduction.Lorenzo Magnani - 2015 - Journal of Applied Logic 13 (3):285-315.
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  • Beyond Core Knowledge: Natural Geometry.Elizabeth Spelke, Sang Ah Lee & Véronique Izard - 2010 - Cognitive Science 34 (5):863-884.
    For many centuries, philosophers and scientists have pondered the origins and nature of human intuitions about the properties of points, lines, and figures on the Euclidean plane, with most hypothesizing that a system of Euclidean concepts either is innate or is assembled by general learning processes. Recent research from cognitive and developmental psychology, cognitive anthropology, animal cognition, and cognitive neuroscience suggests a different view. Knowledge of geometry may be founded on at least two distinct, evolutionarily ancient, core cognitive systems for (...)
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  • Chrysippus' dog as a case study in non-linguistic cognition.Michael Rescorla - 2009 - In Robert W. Lurz, The Philosophy of Animal Minds. New York: Cambridge University Press. pp. 52--71.
    I critique an ancient argument for the possibility of non-linguistic deductive inference. The argument, attributed to Chrysippus, describes a dog whose behavior supposedly reflects disjunctive syllogistic reasoning. Drawing on contemporary robotics, I urge that we can equally well explain the dog's behavior by citing probabilistic reasoning over cognitive maps. I then critique various experimentally-based arguments from scientific psychology that echo Chrysippus's anecdotal presentation.
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  • Problems with Peirce's concept of abduction.Michael Hoffmann - 1999 - Foundations of Science 4 (3):271-305.
    Abductive reasoning takes place in forming``hypotheses'''' in order to explain ``facts.'''' Thus, theconcept of abduction promises an understanding ofcreativity in science and learning. It raises,however, also a lot of problems. Some of them will bediscussed in this paper. After analyzing thedifference between induction and abduction (1), Ishall discuss Peirce''s claim that there is a ``logic''''of abduction (2). The thesis is that this claim can beunderstood, if we make a clear distinction between inferential elements and perceptive elements of abductive reasoning. For (...)
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  • Logical Relations between Pictures.Jan Westerhoff - 2005 - Journal of Philosophy 102 (12):603-623.
    An implication relation between pictures is defined, it is then shown how conjunctions, disjunctions, negations, and hypotheticals of pictures can be formed on the basis of this. It is argued that these logical operations on pictures correspond to natural cognitive operations employed when thinking about pictures.
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  • Cartographic systems and non-linguistic inference.Mariela Aguilera - 2016 - Philosophical Psychology 29 (3):349-364.
    It is often assumed that the capability to make inferences requires language. Against this assumption, I claim that inferential abilities do not necessarily require a language. On the contrary, certain cartographic systems could be used to explain some forms of inferences, and they are capable of warranting rational relations between contents they represent. By arguing that certain maps, as well as sentences, are adequate for inferential processes, I do not mean to neglect that there are important differences between maps and (...)
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  • Animal reasoning and proto-logic.José Luis Bermúdez - 2006 - In Susan Hurley & Matthew Nudds, Rational Animals? Oxford University Press. pp. 127-137.
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  • (1 other version)Do chimpanzees know what others see - or only what they are looking at?Michael Tomasello & Josep Call - 2006 - In Susan Hurley & Matthew Nudds, Rational Animals? Oxford University Press.
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  • The Computer Revolution in Philosophy: Philosophy, Science and Models of Mind.Aaron Sloman - 1978 - British Journal for the Philosophy of Science 30 (3):302-304.
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  • Peircean Abduction: Instinct or Inference?Sami Paavola - 2005 - Semiotica 2005 (153 - 1/4):131-154.
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  • Concepts without words.Christopher Peacocke - 1997 - In Richard G. Heck, Language, Thought, and Logic: Essays in Honour of Michael Dummett. New York: Oxford University Press. pp. 1--33.
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  • Peirce’s Philosophy of Science: Critical Studies in His Theory of Induction and Scientific Method.Nicholas Rescher - 1978 - Transactions of the Charles S. Peirce Society 15 (2):176-179.
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  • Scepticism and animal rationality: the fortune of Chrysippus' dog in the history of western thought.Luciano Floridi - 1997 - Archiv für Geschichte der Philosophie 79 (1):27-57.
    This paper employs the metaphor of hunting to discuss intellectual investigation. Drawing on the example of Chrysippus’ dog, an animal whose behaviour supposedly reflects disjunctive syllogistic reasoning, the article traces the history of thought. It concludes by summarizing the contribution of Chrysippus’ dog to the fields of literature, philosophy and the visual arts. -/- .
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  • The eco-cognitive model of abduction II.Lorenzo Magnani - 2016 - Journal of Applied Logic 15:94-129.
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  • Diagrams, Conceptual Space and Time, and Latent Geometry.Lorenzo Magnani - 2022 - Axiomathes 32 (6):1483-1503.
    The “origins” of (geometric) space is examined from the perspective of the so-called “conceptual space” or “semantic space”. Semantic space is characterized by its fundamental “locality” that generates an “implicit” mode of geometrizing. This view is examined from within three perspectives. First, the role that various diagrammatic entities play in the everyday life and pragmatic activities of selected ethnic groups is illustrated. Secondly, it is shown how conceptual spaces are fundamentally linked to the meaning effects of particular natural languages and (...)
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  • Abduction: Can Non-human Animals Make Discoveries?Mariana Vitti-Rodrigues & Claus Emmeche - 2017 - Biosemiotics 10 (2):295-313.
    The aim of this paper is to investigate the relationship between information and abductive reasoning in the context of problem-solving, focusing on non-human animals. Two questions guide our investigation: What is the relation between information and abductive reasoning in the context of human and non-human animals? Do non-human animals perform discovery based on inferential processes such as abductive reasoning? In order to answer these questions, we discuss the semiotic concept of information in relation to the concept of abductive reasoning and, (...)
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  • Natural Geometry in Descartes and Kepler.Gary Hatfield - 2015 - Res Philosophica 92 (1):117-148.
    According to Kepler and Descartes, the geometry of the triangle formed by the two eyes when focused on a single point affords perception of the distance to that point. Kepler characterized the processes involved as associative learning. Descartes described the processes as a “ natural geometry.” Many interpreters have Descartes holding that perceivers calculate the distance to the focal point using angle-side-angle, calculations that are reduced to unnoticed mental habits in adult vision. This article offers a purely psychophysiological interpretation of (...)
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  • Dialectic and logic in Aristotle and his tradition.Matthew Duncombe & Catarina Dutilh Novaes - 2016 - History and Philosophy of Logic 37 (1):1-8.
    Sweet Analytics, ‘tis thou hast ravish'd me,Bene disserere est finis logices.Is to dispute well logic's chiefest end?Affords this art no greater miracle?(Christopher Marlow, Doctor Faustus, Act 1,...
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  • Geometry, pregeometry and beyond.Diego Meschini, Markku Lehto & Johanna Piilonen - 2005 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (3):435-464.
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  • Abduction and Estimation in Animals.Woosuk Park - 2012 - Foundations of Science 17 (4):321-337.
    One of the most pressing issues in understanding abduction is whether it is an instinct or an inference. For many commentators find it paradoxical that new ideas are products of an instinct and products of an inference at the same time. Fortunately, Lorenzo Magnani’s recent discussion of animal abduction sheds light on both instinctual and inferential character of Peircean abduction. But, exactly for what reasons are Peirce and Magnani so convinced that animal abduction can provide us with a novel perspective? (...)
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  • (1 other version)Logical Foundations of Artificial Intelligence.Michael R. Genesereth & Nils J. Nilsson - 1990 - Journal of Symbolic Logic 55 (3):1304-1307.
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  • The structure of mental language: Some problems discussed by early sixteenth century logicians.E. J. Ashworth - 1982 - Vivarium 20 (1):59-83.
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  • (4 other versions)The Paradox of Self-Consciousness.[author unknown] - 2000 - Philosophical Quarterly 50 (199):277-280.
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  • Mental Language and the Unity of Propositions: A Semantic Problem Discussed by Early Sixteenth Century Logicians.E. J. Ashworth - 1981 - Franciscan Studies 41 (1):61-96.
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  • The End of Mental Language.Calvin Normore - 2009 - In Joël Biard, Le langage mental du Moyen Âge à l'Âge Classique. Peeters Publishers. pp. 293--306.
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  • Jerónimo Pardo on the Unity of Mental Propositions.Paloma Pérez-Ilzarbe - 2009 - In Joël Biard, Le langage mental du Moyen Âge à l'Âge Classique. Peeters Publishers.
    Originally motivated by a sophism, Pardo's discussion about the unity of mental propositions allows him to elaborate on his ideas about the nature of propositions. His option for a non-composite character of mental propositions is grounded in an original view about syncategorems: propositions have a syncategorematic signification, which allows them to signify aliquid aliqualiter, just by virtue of the mental copula, without the need of any added categorematic element. Pardo's general claim about the simplicity of mental propositions is developed into (...)
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  • The Signification of the Copula in Fernando de Enzinas’ Syncategoremata.Paloma Pérez-Ilzarbe - 2015 - Vivarium 53 (2-4):405-423.
    _ Source: _Volume 53, Issue 2-4, pp 405 - 423 This article deals with a brief _difficultas_ in the _Tractatus de compositione propositionis mentalis_ by Fernando de Enzinas: _qualiter copule significent tempus et an copule de presenti et preterito sint synonime_. A progressive determination of the signification of the copula is analysed: first, Enzinas defines his position about the principal syncategorematic signification of the copula; then, he analyses the sense of the consignification of time traditionally attributed to the copula. The (...)
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