Results for 'analogical inference'

978 found
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  1. Fallacious Analogical Reasoning and the Metaphoric Fallacy to a Deductive Inference (MFDI).Claudio Ternullo & Giuseppe Sergioli - 2014 - Isonomia (Epistemologica) 5:159-178.
    In this article, we address fallacious analogical reasoning and the Metaphoric Fallacy to a Deductive Inference (MFDI), recently discussed by B. Lightbody and M. Berman (2010). We claim that the authors’ proposal to introduce a new fallacy is only partly justified. We also argue that, in some relevant cases, fallacious analogical reasoning involving metaphors is only affected by the use of quaternio terminorum.
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  2. Analogical Reasoning and Semantic Rules of Inference.Fabrizio Macagno, Douglas Walton & Christopher W. Tindale - 2014 - Revue Internationale de Philosophie 270 (4):419-432.
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  3. Evidence and Inductive Inference.Nevin Climenhaga - 2023 - In Maria Lasonen-Aarnio & Clayton Littlejohn (eds.), The Routledge Handbook of the Philosophy of Evidence. New York, NY: Routledge. pp. 435-449.
    This chapter presents a typology of the different kinds of inductive inferences we can draw from our evidence, based on the explanatory relationship between evidence and conclusion. Drawing on the literature on graphical models of explanation, I divide inductive inferences into (a) downwards inferences, which proceed from cause to effect, (b) upwards inferences, which proceed from effect to cause, and (c) sideways inferences, which proceed first from effect to cause and then from that cause to an additional effect. I further (...)
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  4. Two analogy strategies: the cases of mind metaphors and introspection.Eugen Fischer - 2018 - Connection Science 30 (2):211-243.
    Analogical reasoning is often employed in problem-solving and metaphor interpretation. This paper submits that, as a default, analogical reasoning addressing these different tasks employs different mapping strategies: In problem-solving, it employs analogy-maximising strategies (like structure mapping, Gentner & Markman 1997); in metaphor interpretation, analogy-minimising strategies (like ATT-Meta, Barnden 2015). The two strategies interact in analogical reasoning with conceptual metaphors. This interaction leads to predictable fallacies. The paper supports these hypotheses through case-studies on ‘mind’-metaphors from ordinary discourse, and (...)
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  5. Analogy.Todd Davies - 1985 - In CSLI Informal Notes Series, IN-CSLI-4. Center for the Study of Language and Information.
    This essay (a revised version of my undergraduate honors thesis at Stanford) constructs a theory of analogy as it applies to argumentation and reasoning, especially as used in fields such as philosophy and law. The word analogy has been used in different senses, which the essay defines. The theory developed herein applies to analogia rationis, or analogical reasoning. Building on the framework of situation theory, a type of logical relation called determination is defined. This determination relation solves a puzzle (...)
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  6. Causal Inference as Inference to the Best Explanation.Barry Ward - manuscript
    We argue that a modified version of Mill’s method of agreement can strongly confirm causal generalizations. This mode of causal inference implicates the explanatory virtues of mechanism, analogy, consilience, and simplicity, and we identify it as a species of Inference to the Best Explanation (IBE). Since rational causal inference provides normative guidance, IBE is not a heuristic for Bayesian rationality. We give it an objective Bayesian formalization, one that has no need of principles of indifference and yields (...)
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  7. Do Mechanisms Matter for Inferences about Consciousness?Andy Mckilliam - forthcoming - Australasian Journal of Philosophy.
    What should we make of systems that behave just like conscious creatures but operate via mechanisms that are profoundly different from our own? How should we even think about mechanistic similarity and difference in this context? To answer these questions, I take a closer look at the inferential machinery that allows us to justifiably draw conclusions about consciousness in others. I argue that inferences about consciousness in others are best viewed as involving analogical inferences grounded in explanatory considerations. I (...)
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  8. A Logical Approach to Reasoning by Analogy.Todd R. Davies & Stuart J. Russell - 1987 - In John P. McDermott (ed.), Proceedings of the 10th International Joint Conference on Artificial Intelligence (IJCAI'87). Morgan Kaufmann Publishers. pp. 264-270.
    We analyze the logical form of the domain knowledge that grounds analogical inferences and generalizations from a single instance. The form of the assumptions which justify analogies is given schematically as the "determination rule", so called because it expresses the relation of one set of variables determining the values of another set. The determination relation is a logical generalization of the different types of dependency relations defined in database theory. Specifically, we define determination as a relation between schemata of (...)
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  9. Analogical Arguments: Inferential Structures and Defeasibility Conditions.Fabrizio Macagno, Douglas Walton & Christopher Tindale - 2017 - Argumentation 31 (2):221-243.
    The purpose of this paper is to analyze the structure and the defeasibility conditions of argument from analogy, addressing the issues of determining the nature of the comparison underlying the analogy and the types of inferences justifying the conclusion. In the dialectical tradition, different forms of similarity were distinguished and related to the possible inferences that can be drawn from them. The kinds of similarity can be divided into four categories, depending on whether they represent fundamental semantic features of the (...)
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  10. Determination, uniformity, and relevance: normative criteria for generalization and reasoning by analogy.Todd R. Davies - 1988 - In T. Davies (ed.), Analogical Reasoning. Kluwer Academic Publishers. pp. 227-250.
    This paper defines the form of prior knowledge that is required for sound inferences by analogy and single-instance generalizations, in both logical and probabilistic reasoning. In the logical case, the first order determination rule defined in Davies (1985) is shown to solve both the justification and non-redundancy problems for analogical inference. The statistical analogue of determination that is put forward is termed 'uniformity'. Based on the semantics of determination and uniformity, a third notion of "relevance" is defined, both (...)
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  11. (1 other version)Subatomic Inferences: An Inferentialist Semantics for Atomics, Predicates, and Names.Kai Tanter - 2021 - Review of Symbolic Logic:1-28.
    Inferentialism is a theory in the philosophy of language which claims that the meanings of expressions are constituted by inferential roles or relations. Instead of a traditional model-theoretic semantics, it naturally lends itself to a proof-theoretic semantics, where meaning is understood in terms of inference rules with a proof system. Most work in proof-theoretic semantics has focused on logical constants, with comparatively little work on the semantics of non-logical vocabulary. Drawing on Robert Brandom’s notion of material inference and (...)
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  12. The logical and pragmatic structure of arguments from analogy.Fabrizio Macagno - 2017 - Logique Et Analyse 240:465-490.
    The reasoning process of analogy is characterized by a strict interdependence between a process of abstraction of a common feature and the transfer of an attribute of the Analogue to the Primary Subject. The first reasoning step is regarded as an abstraction of a generic characteristic that is relevant for the attribution of the predicate. The abstracted feature can be considered from a logic-semantic perspective as a functional genus, in the sense that it is contextually essential for the attribution of (...)
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  13. Understanding Creativity: Affect Decision and Inference.Avijit Lahiri - manuscript
    In this essay we collect and put together a number of ideas relevant to the under- standing of the phenomenon of creativity, confining our considerations mostly to the domain of cognitive psychology while we will, on a few occasions, hint at neuropsy- chological underpinnings as well. In this, we will mostly focus on creativity in science, since creativity in other domains of human endeavor have common links with scientific creativity while differing in numerous other specific respects. We begin by briefly (...)
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  14. The Sense of Natural Meaning in Conscious Inference.Anders Nes - 2015 - In Thiemo Breyer & Christopher Gutland (eds.), Phenomenology of Thinking: Philosophical Investigations Into the Character of Cognitive Experiences. New York: Routledge. pp. 97-115.
    The paper addresses the phenomenology of inference. It proposes that the conscious character of conscious inferences is partly constituted by a sense of meaning; specifically, a sense of what Grice called ‘natural meaning’. In consciously drawing the (outright, categorical) conclusion that Q from a presumed fact that P, one senses the presumed fact that P as meaning that Q, where ‘meaning that’ expresses natural meaning. This sense of natural meaning is phenomenologically analogous, I suggest, to our sense of what (...)
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  15. Defeasible Classifications and Inferences from Definitions.Fabrizio Macagno & Douglas Walton - 2010 - Informal Logic 30 (1):34-61.
    We contend that it is possible to argue reasonably for and against arguments from classifications and definitions, provided they are seen as defeasible (subject to exceptions and critical questioning). Arguments from classification of the most common sorts are shown to be based on defeasible reasoning of various kinds represented by patterns of logical reasoning called defeasible argumentation schemes. We show how such schemes can be identified with heuristics, or short-cut solutions to a problem. We examine a variety of arguments of (...)
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  16. Deductive Reasoning Under Uncertainty: A Water Tank Analogy.Guy Politzer - 2016 - Erkenntnis 81 (3):479-506.
    This paper describes a cubic water tank equipped with a movable partition receiving various amounts of liquid used to represent joint probability distributions. This device is applied to the investigation of deductive inferences under uncertainty. The analogy is exploited to determine by qualitative reasoning the limits in probability of the conclusion of twenty basic deductive arguments (such as Modus Ponens, And-introduction, Contraposition, etc.) often used as benchmark problems by the various theoretical approaches to reasoning under uncertainty. The probability bounds imposed (...)
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  17. A Quasi-Deflationary Solution to the Problems of Mixed Inferences and Mixed Compounds.Zhiyuan Zhang - forthcoming - Inquiry: An Interdisciplinary Journal of Philosophy.
    Truth pluralism is the view that there is more than one truth property. The strong version of it (i.e. strong pluralism) further contends that no truth property is shared by all true propositions. In this paper, I help strong pluralism solve two pressing problems concerning mixed discourse: the problem of mixed inferences (PI) and the problem of mixed compounds (PC). According to PI, strong pluralism is incompatible with the truth- preservation notion of validity; according to PC, strong pluralists cannot find (...)
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  18. Legal oughts, Normative Transmission, and the Nazi Use of Analogy.Carolyn Benson & Julian Fink - 2012 - Jurisprudence 3 (2):445-463.
    In 1935, the Nazi government introduced what came to be known as the abrogation of the pro- hibition of analogy. This measure, a feature of the new penal law, required judges to stray from the letter of the written law and to consider instead whether an action was worthy of pun- ishment according to the ‘sound perception of the people’ and the ‘underlying principle’ of existing criminal statutes. In discussions of Nazi law, an almost unanimous conclusion is that a system (...)
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  19. Informal Logic’s Infinite Regress: Inference Through a Looking-Glass.Gilbert Edward Plumer - 2018 - In Steve Oswald & Didier Maillat (eds.), Argumentation and Inference. Proceedings of the 2nd European Conference on Argumentation, Fribourg 2017. pp. 365-377.
    [Winner of the 2017 AILACT Essay Prize Prize.] I argue against the skeptical epistemological view exemplified by the Groarkes that “all theories of informal argument must face the regress problem.” It is true that in our theoretical representations of reasoning, infinite regresses of self-justification regularly and inadvertently arise with respect to each of the RSA criteria for argument cogency (the premises are to be relevant, sufficient, and acceptable). But they arise needlessly, by confusing an RSA criterion with argument content, usually (...)
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    Informal Logic’s Infinite Regress: Inference Through a Looking-Glass.Gilbert Edward Plumer - 2018 - In Steve Oswald & Didier Maillat (eds.), Argumentation and Inference. Proceedings of the 2nd European Conference on Argumentation, Fribourg 2017. pp. 365-377.
    [Winner of the 2017 AILACT Essay Prize Prize.] I argue against the skeptical epistemological view exemplified by the Groarkes that “all theories of informal argument must face the regress problem.” It is true that in our theoretical representations of reasoning, infinite regresses of self-justification regularly and inadvertently arise with respect to each of the RSA criteria for argument cogency (the premises are to be relevant, sufficient, and acceptable). But they arise needlessly, by confusing an RSA criterion with argument content, usually (...)
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  21. Scientific Realism without Rigid Designation in Kant's Analogies.David Landy - 2016 - Kant E-Prints 11 (2):70-89.
    In Kant, Science, and Human Nature, Robert Hanna argues against a version of scientific realism founded on the Kripke/Putnam theory of reference, and defends a Kant-inspired manifest realism in its place. I reject Kriple/Putnam for different reasons than Hanna does, and argue that what should replace it is not manifest realism, but Kant‘s own scientific realism, which rests on a radically different theory of reference. Kant holds that we picture manifest objects by uniting manifolds of sensation using concepts-qua-inferential-rules. When these (...)
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  22. Explanatory Indispensability and Deliberative Indispensability: Against Enoch's Analogy.Alex Worsnip - 2016 - Thought: A Journal of Philosophy 5 (4):226-235.
    In this note, I discuss David Enoch's influential deliberative indispensability argument for metanormative realism, and contend that the argument fails. In doing so, I uncover an important disanalogy between explanatory indispensability arguments and deliberative indispensability arguments, one that explains how we could accept the former without accepting the latter.
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  23. W poszukiwaniu ontologicznych podstaw prawa. Arthura Kaufmanna teoria sprawiedliwości [In Search for Ontological Foundations of Law: Arthur Kaufmann’s Theory of Justice].Marek Piechowiak - 1992 - Instytut Nauk Prawnych PAN.
    Arthur Kaufmann is one of the most prominent figures among the contemporary philosophers of law in German speaking countries. For many years he was a director of the Institute of Philosophy of Law and Computer Sciences for Law at the University in Munich. Presently, he is a retired professor of this university. Rare in the contemporary legal thought, Arthur Kaufmann's philosophy of law is one with the highest ambitions — it aspires to pinpoint the ultimate foundations of law by explicitly (...)
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  24. Doing Practical Ethics: A Skills-Based Approach to Moral Reasoning.Jason Swartwood & Ian Stoner - 2021 - New York, NY, USA: Oxford University Press. Edited by Jason Swartwood.
    Doing Practical Ethics supports the deliberate practice of philosophical skills relevant to understanding, evaluating, and developing arguments in forms commonly used in the field of practical ethics. Each chapter includes an explanation of a specific moral reasoning skill, demonstration exercises with sample solutions that offer students immediate feedback on their initial practice attempts, and extensive sets of practice exercises. It is suitable for any ethics course that centrally features argument from principle, argument from analogy, or inference to the best (...)
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  25. Metaphor and its unparalleled meaning and truth.John A. Barnden & Alan M. Wallington - 2010 - In Armin Burkhardt & Brigitte Nerlich (eds.), Tropical Truth(S): The Epistemology of Metaphor and Other Tropes. De Gruyter. pp. 85-122.
    This article arises indirectly out of the development of a particular approach, called ATT-Meta, to the understanding of some types of metaphorical utterance. However, the specifics of the approach are not the focus of the present article, which concentrates on some general issues that have informed, or arisen from, the development of the approach. The article connects those issues to the questions of metaphorical meaning and truth. -/- A large part of the exploration of metaphor in fields such as Cognitive (...)
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  26. Implicatures as Forms of Argument.Fabrizio Macagno & Douglas Walton - 2013 - In Alessandro Capone, Franco Lo Piparo & Marco Carapezza (eds.), Perspectives on Pragmatics and Philosophy. Cham: Springer. pp. 203-224.
    In this paper, we use concepts, structure and tools from argumentation theory to show how conversational implicatures are triggered by conflicts of presumptions. Presumptive implicatures are shown to be based on defeasible forms of inference used in conditions of lack of knowledge, including analogical reasoning, inference to the best explanation, practical reasoning, appeal to pity, and argument from cause. Such inferences are modelled as communicative strategies to knowledge gaps that shift the burden of providing the missing contrary (...)
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  27. Model Organisms are Not (Theoretical) Models.Arnon Levy & Adrian Currie - 2015 - British Journal for the Philosophy of Science 66 (2):327-348.
    Many biological investigations are organized around a small group of species, often referred to as ‘model organisms’, such as the fruit fly Drosophila melanogaster. The terms ‘model’ and ‘modelling’ also occur in biology in association with mathematical and mechanistic theorizing, as in the Lotka–Volterra model of predator-prey dynamics. What is the relation between theoretical models and model organisms? Are these models in the same sense? We offer an account on which the two practices are shown to have different epistemic characters. (...)
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  28. Reasoning with Concepts: A Unifying Framework.Peter Gärdenfors & Matías Osta-Vélez - 2023 - Minds and Machines 1 (3):451-485.
    Over the past few decades, cognitive science has identified several forms of reasoning that make essential use of conceptual knowledge. Despite significant theoretical and empirical progress, there is still no unified framework for understanding how concepts are used in reasoning. This paper argues that the theory of conceptual spaces is capable of filling this gap. Our strategy is to demonstrate how various inference mechanisms which clearly rely on conceptual information—including similarity, typicality, and diagnosticity-based reasoning—can be modeled using principles derived (...)
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  29.  66
    Forced Friends: Why the Free Energy Principle Is Not the New Hamilton’s Principle.Bartosz Michal Radomski & Krzysztof Dołȩga - 2024 - Entropy 26 (9).
    The claim that the free energy principle is somehow related to Hamilton’s principle in statistical mechanics is ubiquitous throughout the subject literature. However, the exact nature of this relationship remains unclear. According to some sources, the free energy principle is merely similar to Hamilton’s principle of stationary action; others claim that it is either analogous or equivalent to it, while yet another part of the literature espouses the claim that it is a version of Hamilton’s principle. In this article, we (...)
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  30. Data and Safety Monitoring Board and the Ratio Decidendi of the Trial.Roger Stanev - 2015 - Journal of Philosophy, Science and Law 15:1-26.
    Decision-making by a Data and Safety Monitoring Board (DSMB) regarding clinical trial conduct and termination is intricate and largely limited by cases and rules. Decision-making by legal jury is also intricate and largely constrained by cases and rules. In this paper, I argue by analogy that legal decision-making, which strives for a balance between competing demands of conservatism and innovation, supplies a good basis to the logic behind DSMB decision-making. Using the doctrine of precedents in legal reasoning as my central (...)
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  31. On the Substitution of Identicals in Counterfactual Reasoning.Alexander W. Kocurek - 2020 - Noûs 54 (3):600-631.
    It is widely held that counterfactuals, unlike attitude ascriptions, preserve the referential transparency of their constituents, i.e., that counterfactuals validate the substitution of identicals when their constituents do. The only putative counterexamples in the literature come from counterpossibles, i.e., counterfactuals with impossible antecedents. Advocates of counterpossibilism, i.e., the view that counterpossibles are not all vacuous, argue that counterpossibles can generate referential opacity. But in order to explain why most substitution inferences into counterfactuals seem valid, counterpossibilists also often maintain that counterfactuals (...)
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  32. The Self The Soul and The World: Affect Reason and Complexity.Avijit Lahiri - manuscript
    This book looks at the affective-cognitive roots of how the human mind inquires into the workings of nature and, more generally, how the mind confronts reality. Reality is an infinitely complex system, in virtue of which the mind can comprehend it only in bits and pieces, by making up interpretations of the myriads of signals received from the world by way of integrating those with information stored from the past. This constitutes a piecemeal interpretation by which we assemble our phenomenal (...)
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  33. Madhyamaka Philosophy of No-Mind: Taktsang Lotsāwa’s On Prāsaṅgika, Pramāṇa, Buddhahood and a Defense of No-Mind Thesis.Sonam Thakchoe & Julien Tempone Wiltshire - 2019 - Journal of Indian Philosophy 47 (3):453-487.
    It is well known in contemporary Madhyamaka studies that the seventh century Indian philosopher Candrakīrti rejects the foundationalist Abhidharma epistemology. The question that is still open to debate is: Does Candrakīrti offer any alternative Madhyamaka epistemology? One possible way of addressing this question is to find out what Candrakīrti says about the nature of buddha’s epistemic processes. We know that Candrakīrti has made some puzzling remarks on that score. On the one hand, he claims buddha is the pramāṇabhūta-puruṣa (person of (...)
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  34. The whitewashing of blame.Eugene Chislenko - 2024 - European Journal of Philosophy 32 (4):1221-1234.
    I argue that influential recent discussions have whitewashed blame, characterizing it in ways that deemphasize or ignore its morally problematic features. I distinguish “definitional,” “creeping,” and “emphasis” whitewash, and argue that they play a central role in overall endorsements of blame by T.M. Scanlon, George Sher, and Miranda Fricker. In particular, these endorsements treat blame as appropriate by definition (Scanlon), or as little more than a wish (Sher), and infer from blame's having one useful function that it is a good (...)
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  35. Knowledge as a Non‐Normative Relation.Kurt Sylvan - 2018 - Philosophy and Phenomenological Research 97 (1):190-222.
    According to a view I’ll call Epistemic Normativism, knowledge is normative in the same sense in which paradigmatically normative properties like justification are normative. This paper argues against EN in two stages and defends a positive non-normativist alternative. After clarifying the target in §1, I consider in §2 some arguments for EN from the premise that knowledge entails justification. I first raise some worries about inferring constitution from entailment. I then rehearse the reasons why some epistemologists reject the Entailment Thesis (...)
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  36. Believing in Default Rules: Inclusive Default Reasoning.Frederik J. Andersen & Rasmus K. Rendsvig - forthcoming - Synthese.
    This paper argues for the reasonableness of an inclusive conception of default reasoning. The inclusive conception allows untriggered default rules to influence beliefs: Since a default “from φ, infer ψ” is a defeasible inference rule, it by default warrants a belief in the material implication φ → ψ, even if φ is not believed. Such inferences are not allowed in standard default logic of the Reiter tradition, but are reasonable by analogy to the Deduction Theorem for classical logic. Our (...)
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  37. Scientific Representation: An Inferentialist-Expressivist Manifesto.Kareem Khalifa, Jared Millson & Mark Risjord - 2022 - Philosophical Topics 50 (1):263-291.
    This essay presents a fully inferentialist-expressivist account of scientific representation. In general, inferentialist approaches to scientific representation argue that the capacity of a model to represent a target system depends on inferences from models to target systems. Inferentialism is attractive because it makes the epistemic function of models central to their representational capacity. Prior inferentialist approaches to scientific representation, however, have depended on some representational element, such as denotation or representational force. Brandom’s Making It Explicit provides a model of how (...)
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  38. Newton on active and passive quantities of matter.Adwait A. Parker - 2020 - Studies in History and Philosophy of Science Part A 84:1-11.
    Newton published his deduction of universal gravity in Principia (first ed., 1687). To establish the universality (the particle-to-particle nature) of gravity, Newton must establish the additivity of mass. I call ‘additivity’ the property a body's quantity of matter has just in case, if gravitational force is proportional to that quantity, the force can be taken to be the sum of forces proportional to each particle's quantity of matter. Newton's argument for additivity is obscure. I analyze and assess manuscript versions of (...)
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  39. The perception of silence.Rui Zhe Goh, Ian Phillips & Chaz Firestone - 2023 - Proceedings of the National Academy of Sciences 120 (29):e2301463120.
    Auditory perception is traditionally conceived as the perception of sounds — a friend’s voice, a clap of thunder, a minor chord. However, daily life also seems to present us with experiences characterized by the absence of sound — a moment of silence, a gap between thunderclaps, the hush after a musical performance. In these cases, do we positively hear silence? Or do we just fail to hear, and merely judge or infer that it is silent? This longstanding question remains controversial (...)
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  40. Complexity Reality and Scientific Realism.Avijit Lahiri - manuscript
    We introduce the notion of complexity, first at an intuitive level and then in relatively more concrete terms, explaining the various characteristic features of complex systems with examples. There exists a vast literature on complexity, and our exposition is intended to be an elementary introduction, meant for a broad audience. -/- Briefly, a complex system is one whose description involves a hierarchy of levels, where each level is made of a large number of components interacting among themselves. The time evolution (...)
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  41. The Implied Designer of Digital Games.Nele Van de Mosselaer & Stefano Gualeni - 2023 - Estetika: The European Journal of Aesthetics 60 (1):71-89.
    As artefacts, the worlds of digital games are designed and developed to fulfil certain expressive, functional, and experiential objectives. During play, players infer these purposes and aspirations from various aspects of their engagement with the gameworld. Influenced by their sociocultural backgrounds, sensitivities, gameplay preferences, and familiarity with game conventions, players construct a subjective interpretation of the intentions with which they believe the digital game in question was created. By analogy with the narratological notion of the implied author, we call the (...)
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  42. Inconsistent idealizations and inferentialism about scientific representation.Peter Tan - 2021 - Studies in History and Philosophy of Science Part A 89 (C):11-18.
    Inferentialists about scientific representation hold that an apparatus’s representing a target system consists in the apparatus allowing “surrogative inferences” about the target. I argue that a serious problem for inferentialism arises from the fact that many scientific theories and models contain internal inconsistencies. Inferentialism, left unamended, implies that inconsistent scientific models have unlimited representational power, since an inconsistency permits any conclusion to be inferred. I consider a number of ways that inferentialists can respond to this challenge before suggesting my own (...)
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  43. Mill on logic.David Godden - 2016 - In Christopher Macleod & Dale E. Miller (eds.), A Companion to Mill. Hoboken: John Wiley & Sons, Inc.. pp. 175-191.
    Working within the broad lines of general consensus that mark out the core features of John Stuart Mill’s (1806–1873) logic, as set forth in his A System of Logic (1843–1872), this chapter provides an introduction to Mill’s logical theory by reviewing his position on the relationship between induction and deduction, and the role of general premises and principles in reasoning. Locating induction, understood as a kind of analogical reasoning from particulars to particulars, as the basic form of inference (...)
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  44. Introduction: Lessons from the Scientific Butchery.Matthew H. Slater & Andrea Borghini - 2011 - In Joseph Keim Campbell, Michael O'Rourke & Matthew H. Slater (eds.), Carving nature at its joints: natural kinds in metaphysics and science. Cambridge, MA, USA: MIT Press.
    Good chefs know the importance of maintaining sharp knives in the kitchen. What’s their secret? A well-worn Taoist allegory offers some advice. The king asks about his butcher’s impressive knifework. “Ordinary butchers,” he replied “hack their way through the animal. Thus their knife always needs sharpening. My father taught me the Taoist way. I merely lay the knife by the natural openings and let it find its own way through. Thus it never needs sharpening” (Kahn 1995, vii; see also Watson (...)
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  45. Against Logical Inferentialism.Nick Zangwill - 2021 - Logique Et Analyse 255 (255):275-287.
    I argue against inferentialism about logic. First, I argue against an analogy between logic and chess, before considering a more basic objection to stipulating inference rules as a way of establishing the meaning of logical constants. The objectionthe Mushroom Omelette Objectionis that stipulative acts are partly constituted by logical notions, and therefore cannot be used to explain logical thought. I then argue that the same problem also attaches to following existing conventional rules, since either those rules have logical contents, (...)
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  46. Logic in mathematics and computer science.Richard Zach - forthcoming - In Filippo Ferrari, Elke Brendel, Massimiliano Carrara, Ole Hjortland, Gil Sagi, Gila Sher & Florian Steinberger (eds.), Oxford Handbook of Philosophy of Logic. Oxford, UK: Oxford University Press.
    Logic has pride of place in mathematics and its 20th century offshoot, computer science. Modern symbolic logic was developed, in part, as a way to provide a formal framework for mathematics: Frege, Peano, Whitehead and Russell, as well as Hilbert developed systems of logic to formalize mathematics. These systems were meant to serve either as themselves foundational, or at least as formal analogs of mathematical reasoning amenable to mathematical study, e.g., in Hilbert’s consistency program. Similar efforts continue, but have been (...)
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  47. The Supposed Material Cause in Posterior Analytics 2.11.Nathanael Stein - 2020 - Phronesis 66 (1):27-51.
    Aristotle presents four causes in Posterior Analytics 2.11, but where we expect matter we find instead the confusing formula, ‘what things being the case, necessarily this is the case’, and an equally confusing example. Some commentators infer that Aristotle is not referring to matter, others that he is but in a non-standard way. I argue that APo. 94a20-34 presents not matter, but determination by general features or facts, including facts about something’s genus. The closest connection to matter is Aristotle’s view (...)
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  48. Does the Dome Defeat the Material Theory of Induction?William Peden - 2021 - Erkenntnis 88 (5):2171-2190.
    According to John D. Norton's Material Theory of Induction, all inductive inferences are justified by local facts, rather than their formal features or some grand principles of nature's uniformity. Recently, Richard Dawid (Found Phys 45(9):1101–1109, 2015) has offered a challenge to this theory: in an adaptation of Norton's own celebrated "Dome" thought experiment, it seems that there are certain inductions that are intuitively reasonable, but which do not have any local facts that could serve to justify them in accordance with (...)
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  49. Gödel mathematics versus Hilbert mathematics. I. The Gödel incompleteness (1931) statement: axiom or theorem?Vasil Penchev - 2022 - Logic and Philosophy of Mathematics eJournal (Elsevier: SSRN) 14 (9):1-56.
    The present first part about the eventual completeness of mathematics (called “Hilbert mathematics”) is concentrated on the Gödel incompleteness (1931) statement: if it is an axiom rather than a theorem inferable from the axioms of (Peano) arithmetic, (ZFC) set theory, and propositional logic, this would pioneer the pathway to Hilbert mathematics. One of the main arguments that it is an axiom consists in the direct contradiction of the axiom of induction in arithmetic and the axiom of infinity in set theory. (...)
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  50. The Coy Eristic: Defining the Image that Defines the Sophist.David Ambuel - 2011 - In Ales Havlicek & Filip Karfik (eds.), Plato's Sophist: Proceedings of the Seventh Symposium Platonicum Pragense. Oikoymenh. pp. 278-310.
    The eponymous dialogue presents the sophist as a figure who defies definition, and those difficulties are attributed to the conception of the image. Ultimately, the sophist is defined as a species of image maker. The image, however, which is important throughout the Platonic corpus as a metaphor, an analogy, and a metaphysical concept as well, receives in the Sophist little clarification or definition apart from whatever may be inferred from the division of image making arts. In the Sophist, the sophist (...)
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