Results for 'diagrams'

60 found
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  1.  44
    Cognitive Processing of Spatial Relations in Euclidean Diagrams.Yacin Hamami, Milan N. A. van der Kuil, Ineke J. M. van der Ham & John Mumma - 2020 - Acta Psychologica 205:1--10.
    The cognitive processing of spatial relations in Euclidean diagrams is central to the diagram-based geometric practice of Euclid's Elements. In this study, we investigate this processing through two dichotomies among spatial relations—metric vs topological and exact vs co-exact—introduced by Manders in his seminal epistemological analysis of Euclid's geometric practice. To this end, we carried out a two-part experiment where participants were asked to judge spatial relations in Euclidean diagrams in a visual half field task design. In the first (...)
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  2. Periods in the Use of Euler-Type Diagrams.Jens Lemanski - 2017 - Acta Baltica Historiae Et Philosophiae Scientiarum 5 (1):50-69.
    Logicians commonly speak in a relatively undifferentiated way about pre-euler diagrams. The thesis of this paper, however, is that there were three periods in the early modern era in which euler-type diagrams (line diagrams as well as circle diagrams) were expansively used. Expansive periods are characterized by continuity, and regressive periods by discontinuity: While on the one hand an ongoing awareness of the use of euler-type diagrams occurred within an expansive period, after a subsequent phase (...)
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  3. Squares of Oppositions, Commutative Diagrams, and Galois Connections for Topological Spaces and Similarity Structures.Thomas Mormann - manuscript
    The aim of this paper is to elucidate the relationship between Aristotelian conceptual oppositions, commutative diagrams of relational structures, and Galois connections.This is done by investigating in detail some examples of Aristotelian conceptual oppositions arising from topological spaces and similarity structures. The main technical device for this endeavor is the notion of Galois connections of order structures.
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  4.  88
    Means or End? On the Valuation of Logic Diagrams.Jens Lemanski - 2016 - Logic-Philosophical Studies 14:98-122.
    From the beginning of the 16th century to the end of the 18th century, there were not less than ten philosophers who focused extensively on Venn’s ostensible analytical diagrams, as noted by modern historians of logic (Venn, Gardner, Baron, Coumet et al.). But what was the reason for early modern philosophers to use logic or analytical diagrams? Among modern historians of logic one can find two theses which are closely connected to each other: M. Gardner states that since (...)
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  5. Feynman's Diagrams, Pictorial Representations and Styles of Scientific Thinking.Dorato Mauro & Emanuele Rossanese - manuscript
    In this paper we argue that the different positions taken by Dyson and Feynman on Feynman diagrams’ representational role depend on different styles of scientific thinking. We begin by criticizing the idea that Feynman Diagrams can be considered to be pictures or depictions of actual physical processes. We then show that the best interpretation of the role they play in quantum field theory and quantum electrodynamics is captured by Hughes' Denotation, Deduction and Interpretation theory of models (DDI), where (...)
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  6. Bowtie Structures, Pathway Diagrams, and Topological Explanation.Nicholaos Jones - 2014 - Erkenntnis 79 (5):1135-1155.
    While mechanistic explanation and, to a lesser extent, nomological explanation are well-explored topics in the philosophy of biology, topological explanation is not. Nor is the role of diagrams in topological explanations. These explanations do not appeal to the operation of mechanisms or laws, and extant accounts of the role of diagrams in biological science explain neither why scientists might prefer diagrammatic representations of topological information to sentential equivalents nor how such representations might facilitate important processes of explanatory reasoning (...)
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  7. Forms and Roles of Diagrams in Knot Theory.Silvia De Toffoli & Valeria Giardino - 2014 - Erkenntnis 79 (4):829-842.
    The aim of this article is to explain why knot diagrams are an effective notation in topology. Their cognitive features and epistemic roles will be assessed. First, it will be argued that different interpretations of a figure give rise to different diagrams and as a consequence various levels of representation for knots will be identified. Second, it will be shown that knot diagrams are dynamic by pointing at the moves which are commonly applied to them. For this (...)
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  8. Diagrams as Locality Aids for Explanation and Model Construction in Cell Biology.Nicholaos Jones & Olaf Wolkenhauer - 2012 - Biology and Philosophy 27 (5):705-721.
    Using as case studies two early diagrams that represent mechanisms of the cell division cycle, we aim to extend prior philosophical analyses of the roles of diagrams in scientific reasoning, and specifically their role in biological reasoning. The diagrams we discuss are, in practice, integral and indispensible elements of reasoning from experimental data about the cell division cycle to mathematical models of the cycle’s molecular mechanisms. In accordance with prior analyses, the diagrams provide functional explanations of (...)
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  9. Images, Diagrams, and Metaphors: Hypoicons in the Context of Peirce's Sixty-Six-Fold Classification of Signs.Priscila Farias & João Queiroz - 2006 - Semiotica 2006 (162):287-307.
    In his 1903 Syllabus, Charles S. Peirce makes a distinction between icons and iconic signs, or hypoicons, and briefly introduces a division of the latter into images, diagrams, and metaphors. Peirce scholars have tried to make better sense of those concepts by understanding iconic signs in the context of the ten classes of signs described in the same Syllabus. We will argue, however, that the three kinds of hypoicons can better be understood in the context of Peirce's sixty-six classes (...)
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  10. Diagrams, Documents, and the Meshing of Plans.Barry Smith - 2013 - In Andras Benedek & Kristof Nyiri (eds.), How To Do Things With Pictures: Skill, Practice, Performance. Peter Lang Edition. pp. 165--179.
    There are two important ways in which, when dealing with documents, we go beyond the boundaries of linear text. First, by incorporating diagrams into documents, and second, by creating complexes of intermeshed documents which may be extended in space and evolve and grow through time. The thesis of this paper is that such aggregations of documents are today indispensable to practically all complex human achievements from law and finance to orchestral performance and organized warfare. Documents provide for what we (...)
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  11. 10cubes and 3N3: Using Interactive Diagrams to Investigate Charles Peirces Classifications of Signs.Priscila Farias & João Queiroz - 2004 - Semiotica 2004 (151):41-63.
    This article presents some results of a research on computational strategies for the visualization of sign classification structures and sign processes. The focus of this research is the various classifications of signs described by Peirce. Two models are presented. One of them concerns specifically the 10-fold classification as described in the 1903 Syllabus (MS 540, EP 2: 289–299), while the other deals with the deep structure of Peirce’s various trichotomic classifications. The first is 10cubes, an interactive 3-D model of Peirce’s (...)
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  12.  28
    Possible M-Diagrams of Models of Arithmetic.Andrew Arana - 2005 - In Stephen Simpson (ed.), Reverse Mathematics 2001.
    In this paper I begin by extending two results of Solovay; the first characterizes the possible Turing degrees of models of True Arithmetic (TA), the complete first-order theory of the standard model of PA, while the second characterizes the possible Turing degrees of arbitrary completions of P. I extend these two results to characterize the possible Turing degrees of m-diagrams of models of TA and of arbitrary complete extensions of PA. I next give a construction showing that the conditions (...)
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  13. ‘Chasing’ the Diagram—the Use of Visualizations in Algebraic Reasoning.Silvia de Toffoli - 2017 - Review of Symbolic Logic 10 (1):158-186.
    The aim of this article is to investigate the roles of commutative diagrams (CDs) in a specific mathematical domain, and to unveil the reasons underlying their effectiveness as a mathematical notation; this will be done through a case study. It will be shown that CDs do not depict spatial relations, but represent mathematical structures. CDs will be interpreted as a hybrid notation that goes beyond the traditional bipartition of mathematical representations into diagrammatic and linguistic. It will be argued that (...)
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  14. When and Why Understanding Needs Phantasmata: A Moderate Interpretation of Aristotle’s De Memoria and De Anima on the Role of Images in Intellectual Activities.Caleb Cohoe - 2016 - Phronesis: A Journal for Ancient Philosophy 61 (3):337-372.
    I examine the passages where Aristotle maintains that intellectual activity employs φαντάσματα (images) and argue that he requires awareness of the relevant images. This, together with Aristotle’s claims about the universality of understanding, gives us reason to reject the interpretation of Michael Wedin and Victor Caston, on which φαντάσματα serve as the material basis for thinking. I develop a new interpretation by unpacking the comparison Aristotle makes to the role of diagrams in doing geometry. In theoretical understanding of mathematical (...)
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  15. Characteristica Universalis.Barry Smith - 1992 - In Kevin Mulligan (ed.), Language, Truth and Ontology. London: Kluwer Academic Publishers. pp. 48--77.
    Recent work in formal philosophy has concentrated over-whelmingly on the logical problems pertaining to epistemic shortfall - which is to say on the various ways in which partial and sometimes incorrect information may be stored and processed. A directly depicting language, in contrast, would reflect a condition of epistemic perfection. It would enable us to construct representations not of our knowledge but of the structures of reality itself, in much the way that chemical diagrams allow the representation (at a (...)
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  16. Quantum Field Theory: An Introduction.Ryan Reece - manuscript
    This document is a set of notes I took on QFT as a graduate student at the University of Pennsylvania, mainly inspired in lectures by Burt Ovrut, but also working through Peskin and Schroeder (1995), as well as David Tong’s lecture notes available online. They take a slow pedagogical approach to introducing classical field theory, Noether’s theorem, the principles of quantum mechanics, scattering theory, and culminating in the derivation of Feynman diagrams.
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  17. Logic: A Modern Guide.Colin Beckley - 2016 - Milton Keynes: Think Logically Books.
    This book is written for those who wish to learn some basic principles of formal logic but more importantly learn some easy methods to unpick arguments and assess their value for truth and validity. -/- The first section explains the ideas behind traditional logic which was formed well over two thousand years ago by the ancient Greeks. Terms such as ‘categorical syllogism’, ‘premise’, ‘deduction’ and ‘validity’ may appear at first sight to be inscrutable but will easily be understood with examples (...)
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  18. What is a Logical Diagram?Catherine Legg - 2013 - In Sun-Joo Shin & Amirouche Moktefi (eds.), Visual Reasoning with Diagrams. Springer. 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 (...)
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  19. Framework for Formal Ontology.Barry Smith & Kevin Mulligan - 1983 - Topoi 2 (1):73-85.
    The discussions which follow rest on a distinction, first expounded by Husserl, between formal logic and formal ontology. The former concerns itself with (formal) meaning-structures; the latter with formal structures amongst objects and their parts. The paper attempts to show how, when formal ontological considerations are brought into play, contemporary extensionalist theories of part and whole, and above all the mereology of Leniewski, can be generalised to embrace not only relations between concrete objects and object-pieces, but also relations between what (...)
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  20. Depicting Negation in Diagrammatic Logic: Legacy and Prospects.Fabien Schang & Amirouche Moktefi - 2008 - Diagrammatic Representation and Inference: Proceedings of the 5th International Conference Diagrams 2008 5223:236-241.
    Here are considered the conditions under which the method of diagrams is liable to include non-classical logics, among which the spatial representation of non-bivalent negation. This will be done with two intended purposes, namely: a review of the main concepts involved in the definition of logical negation; an explanation of the epistemological obstacles against the introduction of non-classical negations within diagrammatic logic.
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  21. A Visual Representation of Part-Whole Relationships in BFO-Conformant Ontologies.Jose M. Parente de Oliveira & Barry Smith - 2017 - In Á Rocha, A. M. Correia, H. Adeli, L. P. Reis & S. Costanzo (eds.), Recent Advances in Information Systems and Technologies (Advances in Intelligent Systems and Computing, 569). New York: Springer. pp. 184-194.
    In the visual representation of ontologies, in particular of part-whole relationships, it is customary to use graph theory as the representational background. We claim here that the standard graph-based approach has a number of limitations, and we propose instead a new representation of part-whole structures for ontologies, and describe the results of experiments designed to show the effectiveness of this new proposal especially as concerns reduction of visual complexity. The proposal is developed to serve visualization of ontologies conformant to the (...)
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  22. Introduction: Diagrammatical Reasoning and Peircean Logic Representations.João Queiroz & Frederik Stjernfelt - 2011 - Semiotica 2011 (186):1-4.
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  23. Concept Mapping, Mind Mapping Argument Mapping: What Are the Differences and Do They Matter?W. Martin Davies - 2011 - Higher Education 62 (3):279–301.
    In recent years, academics and educators have begun to use software mapping tools for a number of education-related purposes. Typically, the tools are used to help impart critical and analytical skills to students, to enable students to see relationships between concepts, and also as a method of assessment. The common feature of all these tools is the use of diagrammatic relationships of various kinds in preference to written or verbal descriptions. Pictures and structured diagrams are thought to be more (...)
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  24. Problem Solving and Situated Cognition.David Kirsh - 2009 - The Cambridge Handbook of Situated Cognition:264-306.
    In the course of daily life we solve problems often enough that there is a special term to characterize the activity and the right to expect a scientific theory to explain its dynamics. The classical view in psychology is that to solve a problem a subject must frame it by creating an internal representation of the problem’s structure, usually called a problem space. This space is an internally generable representation that is mathematically identical to a graph structure with nodes and (...)
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  25. Thinking With External Representations.David Kirsh - 2010 - AI and Society 25 (4):441-454.
    Why do people create extra representations to help them make sense of situations, diagrams, illustrations, instructions and problems? The obvious explanation— external representations save internal memory and com- putation—is only part of the story. I discuss seven ways external representations enhance cognitive power: they change the cost structure of the inferential landscape; they provide a structure that can serve as a shareable object of thought; they create persistent referents; they facilitate re- representation; they are often a more natural representation (...)
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  26. From Ideal Worlds to Ideality.Craig Warmke - forthcoming - Journal of the American Philosophical Association.
    In common treatments of deontic logic, the obligatory is what's true in all deontically ideal possible worlds. In this article, I offer a new semantics for Standard Deontic Logic with Leibnizian intensions rather than possible worlds. Even though the new semantics furnishes models that resemble Venn diagrams, the semantics captures the strong soundness and completeness of Standard Deontic Logic. Since, unlike possible worlds, many Leibnizian intensions are not maximally consistent entities, we can amend the semantics to invalidate the inference (...)
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  27. Perceiving Necessity.Catherine Legg & James Franklin - 2017 - Pacific Philosophical Quarterly 98 (3).
    In many diagrams one seems to perceive necessity – one sees not only that something is so, but that it must be so. That conflicts with a certain empiricism largely taken for granted in contemporary philosophy, which believes perception is not capable of such feats. The reason for this belief is often thought well-summarized in Hume's maxim: ‘there are no necessary connections between distinct existences’. It is also thought that even if there were such necessities, perception is too passive (...)
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  28. Types of Dialogue, Dialectical Relevance and Textual Congruity.Douglas Walton & Fabrizio Macagno - 2007 - Anthropology and Philosophy 8 (1/2):101-120.
    Using tools like argument diagrams and profiles of dialogue, this paper studies a number of examples of everyday conversational argumentation where determination of relevance and irrelevance can be assisted by means of adopting a new dialectical approach. According to the new dialectical theory, dialogue types are normative frameworks with specific goals and rules that can be applied to conversational argumentation. In this paper is shown how such dialectical models of reasonable argumentation can be applied to a determination of whether (...)
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  29. Tools for Thought: The Case of Mathematics.Valeria Giardino - 2018 - Endeavour 2 (42):172-179.
    The objective of this article is to take into account the functioning of representational cognitive tools, and in particular of notations and visualizations in mathematics. In order to explain their functioning, formulas in algebra and logic and diagrams in topology will be presented as case studies and the notion of manipulative imagination as proposed in previous work will be discussed. To better characterize the analysis, the notions of material anchor and representational affordance will be introduced.
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  30. Spoils to the Vector - How to Model Causes If You Are a Realist About Powers.Stephen Mumford & Rani Lill Anjum - 2011 - The Monist 94 (1):54-80.
    A standard way of representing causation is with neuron diagrams. This has become popular since the influential work of David Lewis. But it should not be assumed that such representations are metaphysically neutral and amenable to any theory of causation. On the contrary, this way of representing causation already makes several Humean assumptions about what causation is, and which suit Lewis’s programme of Humean Supervenience. An alternative of a vector diagram is better suited for a powers ontology. Causation should (...)
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  31.  23
    Socrates.George Rudebusch - 2009 - Oxford, UK: Wiley-Blackwell.
    _Socrates_ presents a compelling case for some life-changing conclusions that follow from a close reading of Socrates' arguments. Offers a highly original study of Socrates and his thought, accessible to contemporary readers Argues that through studying Socrates we can learn practical wisdom to apply to our lives Lovingly crafted with humour, thought-experiments and literary references, and with close reading sof key Socratic arguments Aids readers with diagrams to make clear complex arguments.
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  32. Conservative and Non-Conservative Development of a Scientific Theory.Vladimir Kuznetsov - manuscript
    An application of diagrams for separating modes of theory development.
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  33. Landscapes, Surfaces, and Morphospaces: What Are They Good For?Massimo Pigliucci - 2012 - In E. Svensson & R. Calsbeek (eds.), The Adaptive Landscape in Evolutionary Biology. Oxford University Press. pp. 26.
    Few metaphors in biology are more enduring than the idea of Adaptive Landscapes, originally proposed by Sewall Wright (1932) as a way to visually present to an audience of typically non- mathematically savvy biologists his ideas about the relative role of natural selection and genetic drift in the course of evolution. The metaphor, how- ever, was born troubled, not the least reason for which is the fact that Wright presented different diagrams in his original paper that simply can- not (...)
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  34. Superimposed Mental Imagery: On the Uses of Make-Perceive.Robert Briscoe - 2018 - In Fiona Macpherson & Fabian Dorsch (eds.), Perceptual Imagination and Perceptual Memory. pp. 161-185.
    Human beings have the ability to ‘augment’ reality by superimposing mental imagery on the visually perceived scene. For example, when deciding how to arrange furniture in a new home, one might project the image of an armchair into an empty corner or the image of a painting onto a wall. The experience of noticing a constellation in the sky at night is also perceptual-imaginative amalgam: it involves both seeing the stars in the constellation and imagining the lines that connect them (...)
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  35. Interaction, External Representation and Sense Making.David Kirsh - 2009 - Proceedings of the 31st Annual Conference of the Cognitive Science Society:1103-1108.
    Why do people create extra representations to help them make sense of situations, diagrams, illustrations, instructions and problems? The obvious explanation – external representations save internal memory and computation – is only part of the story. I discuss eight ways external representations enhance cognitive power: they provide a structure that can serve as a shareable object of thought; they create persistent referents; they change the cost structure of the inferential landscape; they facilitate re-representation; they are often a more natural (...)
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  36. Diagrammatic Reasoning and Modelling in the Imagination: The Secret Weapons of the Scientific Revolution.James Franklin - 2000 - In Guy Freeland & Anthony Corones (eds.), 1543 and All That: Image and Word, Change and Continuity in the Proto-Scientific Revolution. Kluwer Academic Publishers.
    Just before the Scientific Revolution, there was a "Mathematical Revolution", heavily based on geometrical and machine diagrams. The "faculty of imagination" (now called scientific visualization) was developed to allow 3D understanding of planetary motion, human anatomy and the workings of machines. 1543 saw the publication of the heavily geometrical work of Copernicus and Vesalius, as well as the first Italian translation of Euclid.
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  37. The Fact of Evolution: Implications for Science Education.James R. Hofmann & Bruce H. Weber - 2003 - Science & Education 12 (8):729-760.
    Creationists who object to evolution in the science curriculum of public schools often cite Jonathan Well’s book Icons of Evolution in their support (Wells 2000). In the third chapter of his book Wells claims that neither paleontological nor molecular evidence supports the thesis that the history of life is an evolutionary process of descent from preexisting ancestors. We argue that Wells inappropriately relies upon ambiguities inherent in the term ‘Darwinian’ and the phrase ‘Darwin’s theory’. Furthermore, he does not accurately distinguish (...)
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  38.  85
    Greimas Embodied: How Kinesthetic Opposition Grounds the Semiotic Square.Jamin Pelkey - 2017 - Semiotica 2017 (214):277-305.
    According to Greimas, the semiotic square is far more than a heuristic for semantic and literary analysis. It represents the generative “deep structure” of human culture and cognition which “define the fundamental mode of existence of an individual or of a society, and subsequently the conditions of existence of semiotic objects” (Greimas & Rastier 1968: 48). The potential truth of this hypothesis, much less the conditions and implications of taking it seriously (as a truth claim), have received little attention in (...)
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  39. Berkeley and Proof in Geometry.Richard J. Brook - 2012 - Dialogue 51 (3):419-435.
    Berkeley in his Introduction to the Principles of Human knowledge uses geometrical examples to illustrate a way of generating “universal ideas,” which allegedly account for the existence of general terms. In doing proofs we might, for example, selectively attend to the triangular shape of a diagram. Presumably what we prove using just that property applies to all triangles.I contend, rather, that given Berkeley’s view of extension, no Euclidean triangles exist to attend to. Rather proof, as Berkeley would normally assume, requires (...)
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  40. Some Pictures Are Worth 2Aleph0 Sentences.Philip Kitcher & Achille C. Varzi - 2000 - Philosophy 75 (3):377-381.
    According to the cliché a picture is worth a thousand words. But this is a canard, for it vastly underestimates the expressive power of many pictures and diagrams. In this note we show that even a simple map such as the outline of Manhattan Island, accompanied by a pointer marking North, implies a vast infinity of statements—including a vast infinity of true statements.
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  41. Expanding the Vector Model for Dispositionalist Approaches to Causation.Joseph Baltimore - 2019 - Synthese 196 (12):5083-5098.
    Neuron diagrams are heavily employed in academic discussions of causation. Stephen Mumford and Rani Lill Anjum, however, offer an alternative approach employing vector diagrams, which this paper attempts to develop further. I identify three ways in which dispositionalists have taken the activities of powers to be related: stimulation, mutual manifestation, and contribution combination. While Mumford and Anjum do provide resources for representing contribution combination, which might be sufficient for their particular brand of dispositionalism, I argue that those resources (...)
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  42. Sonar Technology and Shifts in Environmental Ethics.Christine James - 2005 - Essays in Philosophy 6 (1):29-53.
    The history of sonar technology provides a fascinating case study for philosophers of science. During the first and second World Wars, sonar technology was primarily associated with activity on the part of the sonar technicians and researchers. Usually this activity is concerned with creation of sound waves under water, as in the classic “ping and echo”. The last fifteen years have seen a shift toward passive, ambient noise “acoustic daylight imaging” sonar. Along with this shift a new relationship has begun (...)
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  43.  69
    The Epistemology of Mathematical Necessity.Cathy Legg - 2018 - In Peter Chapman, Gem Stapleton, Amirouche Moktefi, Sarah Perez-Kriz & Francesco Bellucci (eds.), Diagrammatic Representation and Inference10th International Conference, Diagrams 2018, Edinburgh, UK, June 18-22, 2018, Proceedings. Berlin: Springer-Verlag. pp. 810-813.
    It seems possible to know that a mathematical claim is necessarily true by inspecting a diagrammatic proof. Yet how does this work, given that human perception seems to just (as Hume assumed) ‘show us particular objects in front of us’? I draw on Peirce’s account of perception to answer this question. Peirce considered mathematics as experimental a science as physics. Drawing on an example, I highlight the existence of a primitive constraint or blocking function in our thinking which we might (...)
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  44.  38
    End of the Square?Fabien Schang - forthcoming - South American Journal of Logic 4 (2):1-21.
    It has been recently argued that the well-known square of opposition is a gathering that can be reduced to a one-dimensional figure, an ordered line segment of positive and negative integers [3]. However, one-dimensionality leads to some difficulties once the structure of opposed terms extends to more complex sets. An alternative algebraic semantics is proposed to solve the problem of dimensionality in a systematic way, namely: partition (or bitstring) semantics. Finally, an alternative geometry yields a new and unique pattern of (...)
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  45. The Metaphysics and Logic of Psychology: Peirce's Reading of James's Principles.Mathias Girel - 2003 - Transactions of the Charles S. Peirce Society 39 (2):163-203.
    The present paper deals thus with some fundamental agreements and disagreements between Peirce and James, on crucial issues such as perception and consciousness. When Peirce first read the Principles, he was sketching his theory of the categories, testing its applications in many fields of knowledge, and many investigations were launched, concerning indexicals, diagrams, growth and development. James's utterances led Peirce to make his own views clearer on a wide range of topics that go to the heart of the foundations (...)
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  46. The Aristotelian Explanation of the Halo.Monte Ransome Johnson - 2009 - Apeiron 42 (4):325-357.
    For an Aristotelian observer, the halo is a puzzling phenomenon since it is apparently sublunary, and yet perfectly circular. This paper studies Aristotle's explanation of the halo in Meteorology III 2-3 as an optical illusion, as opposed to a substantial thing (like a cloud), as was thought by his predecessors and even many successors. Aristotle's explanation follows the method of explanation of the Posterior Analytics for "subordinate" or "mixed" mathematical-physical sciences. The accompanying diagram described by Aristotle is one of the (...)
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  47.  51
    Kondratieff Waves in the Global Studies Perspective.Leonid Grinin & Andrey Korotayev - 2014 - In Leonid Grinin, Ilya V. Ilyin & Andrey V. Korotayev (eds.), Globalistics and Globalization Studies. Volgograd: Uchitel Publishing House. pp. 65-98.
    The analysis of long economic cycles allows us to understand long-term worldsystem dynamics, to develop forecasts, to explain crises of the past, as well as the current global economic crisis. The article offers a historical sketch of research on K-waves; it analyzes the nature of Kondratieff waves that are considered as a special form of cyclical dynamics that emerged in the industrial period of the World System history. It offers a historical and theoretical analysis of K-wave dynamics in the World (...)
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  48. Meaning, Interpretation.Martin Stokhof - 2002 - In D. Beaver & P. Scotto di Luzio (eds.), Words, Proofs, and Diagrams. CSLI Publications. pp. 217-240.
    This paper1 explores, quite tentatively, possible consequences for the concept of semantics of two phenomena concerning meaning and interpretation, viz., radical interpretation and normativity of meaning. Both, it will be argued, challenge the way in which meaning is conceived of in semantics and thereby the status of the discipline itself. For several reasons it seems opportune to explore these issues. If one reviews the developments in semantics over the past two decades, one observes that quite a bit has changed, and (...)
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  49. New Dimensions of the Square of Opposition.Jean-Yves Beziau & Stamatios Gerogiorgakis (eds.) - 2017 - Munich: Philosophia.
    The square of opposition is a diagram related to a theory of oppositions that goes back to Aristotle. Both the diagram and the theory have been discussed throughout the history of logic. Initially, the diagram was employed to present the Aristotelian theory of quantification, but extensions and criticisms of this theory have resulted in various other diagrams. The strength of the theory is that it is at the same time fairly simple and quite rich. The theory of oppositions has (...)
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  50.  44
    Syntactic Characterizations of First-Order Structures in Mathematical Fuzzy Logic.Guillermo Badia, Pilar Dellunde, Vicent Costa & Carles Noguera - forthcoming - Soft Computing.
    This paper is a contribution to graded model theory, in the context of mathematical fuzzy logic. We study characterizations of classes of graded structures in terms of the syntactic form of their first-order axiomatization. We focus on classes given by universal and universal-existential sentences. In particular, we prove two amalgamation results using the technique of diagrams in the setting of structures valued on a finite MTL-algebra, from which analogues of the Łoś–Tarski and the Chang–Łoś–Suszko preservation theorems follow.
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