Search results for 'theories of deduction' (try it on Scholar)

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  1. Paul C. Gilmore (1986). Natural Deduction Based Set Theories: A New Resolution of the Old Paradoxes. Journal of Symbolic Logic 51 (2):393-411.score: 103.0
    The comprehension principle of set theory asserts that a set can be formed from the objects satisfying any given property. The principle leads to immediate contradictions if it is formalized as an axiom scheme within classical first order logic. A resolution of the set paradoxes results if the principle is formalized instead as two rules of deduction in a natural deduction presentation of logic. This presentation of the comprehension principle for sets as semantic rules, instead of as a (...)
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  2. Wilfrid Hodges (1993). The Logical Content of Theories of Deduction. Behavioral and Brain Sciences 16 (2):353.score: 90.0
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  3. William Lauinger (2013). The Missing-Desires Objection to Hybrid Theories of Well-Being. Southern Journal of Philosophy 51 (2):270-295.score: 87.0
    Many philosophers have claimed that we might do well to adopt a hybrid theory of well-being: a theory that incorporates both an objective-value constraint and a pro-attitude constraint. Hybrid theories are attractive for two main reasons. First, unlike desire theories of well-being, hybrid theories need not worry about the problem of defective desires. This is so because, unlike desire theories, hybrid theories place an objective-value constraint on well-being. Second, unlike objectivist theories of well-being, hybrid (...)
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  4. Laurence Ashworth & Clinton Free (2006). Marketing Dataveillance and Digital Privacy: Using Theories of Justice to Understand Consumers' Online Privacy Concerns. [REVIEW] Journal of Business Ethics 67 (2):107 - 123.score: 87.0
    Technology used in online marketing has advanced to a state where collection, enhancement and aggregation of information are instantaneous. This proliferation of customer information focused technology brings with it a host of issues surrounding customer privacy. This article makes two key contributions to the debate concerning digital privacy. First, we use theories of justice to help understand the way consumers conceive of, and react to, privacy concerns. Specifically, it is argued that an important component of consumers’ privacy concerns relates (...)
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  5. Günther Eder (2013). Remarks on Compositionality and Weak Axiomatic Theories of Truth. Journal of Philosophical Logic:1-7.score: 87.0
    The paper draws attention to an important, but apparently neglected distinction relating to axiomatic theories of truth, viz. the distinction between weakly and strongly truth-compositional theories of truth. The paper argues that the distinction might be helpful in classifying weak axiomatic theories of truth and examines some of them with respect to it.
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  6. Yoav Shoham (2009). Logical Theories of Intention and the Database Perspective. Journal of Philosophical Logic 38 (6):633 - 647.score: 87.0
    While logical theories of information attitudes, such as knowledge, certainty and belief, have flourished in the past two decades, formalization of other facets of rational behavior have lagged behind significantly. One intriguing line of research concerns the concept of intention. I will discuss one approach to tackling the notion within a logical framework, based on a database perspective.
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  7. Kwang‐Kuo Hwang (2014). Culture‐Inclusive Theories of Self and Social Interaction: The Approach of Multiple Philosophical Paradigms. Journal for the Theory of Social Behaviour 44 (1).score: 86.7
    In view of the fact that culture-inclusive psychology has been eluded or relatively ignored by mainstream psychology, the movement of indigenous psychology is destined to develop a new model of man that incorporates both causal psychology and intentional psychology as suggested by Vygotsky (1927). Following the principle of cultural psychology: “one mind, many mentalities” (Shweder et al., 1998), the Mandala Model of Self (Hwang, 2011a,b) and Face and Favor Model (Hwang, 1987, 2012) were constructed to represent the universal mechanisms of (...)
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  8. Angela Mendelovici (2013). Reliable Misrepresentation and Tracking Theories of Mental Representation. Philosophical Studies 165 (2):421-443.score: 84.0
    It is a live possibility that certain of our experiences reliably misrepresent the world around us. I argue that tracking theories of mental representation (e.g. those of Dretske, Fodor, and Millikan) have difficulty allowing for this possibility, and that this is a major consideration against them.
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  9. Todd Buras (2009). An Argument Against Causal Theories of Mental Content. American Philosophical Quarterly 46 (2):117-129.score: 84.0
    Some mental states are about themselves. Nothing is a cause of itself. So some mental states are not about their causes; they are about things distinct from their causes. If this argument is sound, it spells trouble for causal theories of mental content—the precise sort of trouble depending on the precise sort of causal theory. This paper shows that the argument is sound (§§1-3), and then spells out the trouble (§4).
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  10. James Genone (2012). Theories of Reference and Experimental Philosophy. Philosophy Compass 7 (2):152-163.score: 84.0
    In recent years, experimental philosophers have questioned the reliance of philosophical arguments on intuitions elicited by thought experiments. These challenges seek to undermine the use of this methodology for a particular domain of theorizing, and in some cases to raise doubts about the viability of philosophical work in the domain in question. The topic of semantic reference has been an important area for discussion of these issues, one in which critics of the reliance on intuitions have made particularly strong claims (...)
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  11. Philipp Koralus (2013). Descriptions, Ambiguity, and Representationalist Theories of Interpretation. Philosophical Studies 162 (2):275-290.score: 84.0
    Abstract Theories of descriptions tend to involve commitments about the ambiguity of descriptions. For example, sentences containing descriptions are widely taken to be ambiguous between de re , de dicto , and intermediate interpretations and are sometimes thought to be ambiguous between the former and directly referential interpretations. I provide arguments to suggest that none of these interpretations are due to ambiguities (or indexicality). On the other hand, I argue that descriptions are ambiguous between the above family of interpretations (...)
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  12. Mirja Helena Hartimo (2007). Towards Completeness: Husserl on Theories of Manifolds 1890–1901. Synthese 156 (2):281 - 310.score: 84.0
    Husserl’s notion of definiteness, i.e., completeness is crucial to understanding Husserl’s view of logic, and consequently several related philosophical views, such as his argument against psychologism, his notion of ideality, and his view of formal ontology. Initially Husserl developed the notion of definiteness to clarify Hermann Hankel’s ‘principle of permanence’. One of the first attempts at formulating definiteness can be found in the Philosophy of Arithmetic, where definiteness serves the purpose of the modern notion of ‘soundness’ and leads Husserl to (...)
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  13. Maureen Eckert (ed.) (2006). Theories of Mind: An Introductory Reader. Rowman and Littlefield.score: 84.0
    Intended for introductory classes focusing on philosophy of mind, 'Theories of Mind' includes readings from primary sources, edited to suit the needs of the beginner. Selections focus on vivid examples and counterexamples, and give instructors concerned with assigning accessible primary source material a foundation for more advanced studies in philosophy. Selections from David Armstrong, Ned Block, David Chalmers, Patricia Churchland, Paul Churchland, Andy Clark, Daniel C. Dennett, René Descartes, Jerry A. Fodor, Keith Gunderson, Frank Jackson, David Lewis, Barbara Montero, (...)
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  14. Daniel M. Kraemer (2013). Statistical Theories of Functions and the Problem of Epidemic Disease. Biology and Philosophy 28 (3):423-438.score: 84.0
    Several decades ago, Christopher Boorse formulated an influential statistical theory of normative biological functions but it has often been claimed that his theory suffers from insuperable problems such as an inability to handle cases of epidemic and universal diseases. This paper develops a new statistical theory of normative functions that is capable of dealing with the notorious problem of epidemic and universal diseases. The theory is also more detailed than its predecessors and offers other important advantages over them. It is (...)
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  15. Graham Emil Leigh & Michael Rathjen (2010). An Ordinal Analysis for Theories of Self-Referential Truth. Archive for Mathematical Logic 49 (2):213-247.score: 84.0
    The first attempt at a systematic approach to axiomatic theories of truth was undertaken by Friedman and Sheard (Ann Pure Appl Log 33:1–21, 1987). There twelve principles consisting of axioms, axiom schemata and rules of inference, each embodying a reasonable property of truth were isolated for study. Working with a base theory of truth conservative over PA, Friedman and Sheard raised the following questions. Which subsets of the Optional Axioms are consistent over the base theory? What are the proof-theoretic (...)
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  16. Utpal Bose (2012). An Ethical Framework in Information Systems Decision Making Using Normative Theories of Business Ethics. Ethics and Information Technology 14 (1):17-26.score: 82.0
    As business environments become more complex and reliant on information systems, the decisions made by managers affect a growing number of stakeholders. This paper proposes a framework based on the application of normative theories in business ethics to facilitate the evaluation of IS related ethical dilemmas and arrive at fair and consistent decisions. The framework is applied in the context of an information privacy dilemma to demonstrate the decision making process. The ethical dilemma is analyzed using each one of (...)
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  17. Nicola Angius & Guglielmo Tamburrini (2011). Scientific Theories of Computational Systems in Model Checking. Minds and Machines 21 (2):323-336.score: 80.0
    Model checking, a prominent formal method used to predict and explain the behaviour of software and hardware systems, is examined on the basis of reflective work in the philosophy of science concerning the ontology of scientific theories and model-based reasoning. The empirical theories of computational systems that model checking techniques enable one to build are identified, in the light of the semantic conception of scientific theories, with families of models that are interconnected by simulation relations. And the (...)
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  18. Anton Froeyman (2012). The Ontology of Causal Process Theories. Philosophia 40 (3):523-538.score: 78.0
    There is a widespread belief that the so-called process theories of causation developed by Wesley Salmon and Phil Dowe have given us an original account of what causation really is. In this paper, I show that this is a misconception. The notion of “causal process” does not offer us a new ontological account of causation. I make this argument by explicating the implicit ontological commitments in Salmon and Dowe’s theories. From this, it is clear that Salmon’s Mark Transmission (...)
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  19. Philip Hugly & Charles Sayward (1993). Theories of Truth and Truth-Value Gaps. Linguistics and Philosophy 16 (6):551 - 559.score: 76.7
    The fact that a group of axioms use the word 'true' does not guarantee that that group of axioms yields a theory of truth. For Davidson the derivability of certain biconditionals from the axioms is what guarantees this. We argue that the test does not work. In particular, we argue that if the object language has truth-value gaps, the result of applying Davidson''s definition of a theory of truth is that no correct theory of truth for the language is possible.
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  20. Peter Carruthers & Peter K. Smith (eds.) (1996). Theories of Theories of Mind. Cambridge University Press.score: 76.0
    Theories of Theories of Mind brings together contributions by a distinguished international team of philosophers, psychologists, and primatologists, who between them address such questions as: what is it to understand the thoughts, feelings, and intentions of other people? How does such an understanding develop in the normal child? Why, unusually, does it fail to develop? And is any such mentalistic understanding shared by members of other species? The volume's four parts together offer a state of the art survey (...)
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  21. Jennifer Marshall (2006). Life Extension Research: An Analysis of Contemporary Biological Theories and Ethical Issues. [REVIEW] Medicine, Health Care and Philosophy 9 (1):87-96.score: 76.0
    Many opinions and ideas about aging exist. Biological theories have taken hold of the popular and scientific imagination as potential answers to a “cure” for aging. However, it is not clear what exactly is being cured or whether aging could be classified as a disease. Some scientists are convinced that aging will be biologically alterable and that the human lifespan will be vastly extendable. Other investigators believe that aging is an elusive target that may only be “statistically” manipulatable through (...)
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  22. Alvaro Val & Yoav Shoham (1994). Deriving Properties of Belief Update From Theories of Action. Journal of Logic, Language and Information 3 (2):81-119.score: 76.0
    We present an approach to database update as a form of non monotonic temporal reasoning, the main idea of which is the (circumscriptive) minimization of changes with respect to a set of facts declared “persistent by default”. The focus of the paper is on the relation between this approach and the update semantics recently proposed by Katsuno and Mendelzon. Our contribution in this regard is twofold:We prove a representation theorem for KM semantics in terms of a restricted subfamily of the (...)
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  23. Ian Proops (2003). Kant's Legal Metaphor and the Nature of a Deduction. Journal of the History of Philosophy 41 (2):209-229.score: 75.0
    This essay partly builds on and partly criticizes a striking idea of Dieter Henrich. Henrich argues that Kant's distinction in the first Critique between the question of fact (quid facti) and the question of law (quid juris) provides clues to the argumentative structure of a philosophical "Deduction". Henrich suggests that the unity of apperception plays a role analogous to a legal factum. By contrast, I argue, first, that the question of fact in the first Critique is settled by the (...)
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  24. Grzegorz Bugajak (2009). Philosophy of Nature, Realism, and the Postulated Ontology of Scientific Theories. In Adam Świeżyński (ed.), Philosophy of Nature Today, Wydawnictwo UKSW, Warszawa. 59–80.score: 75.0
    The first part of the paper is a metatheoretical consideration of such philosophy of nature which allows for using scientific results in philosophical analyses. An epistemological 'judgment' of those results becomes a preliminary task of this discipline: this involves taking a position in the controversy between realistic and antirealistic accounts of science. It is shown that a philosopher of nature has to be a realist, if his task to build true ontology of reality is to be achieved. At the same (...)
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  25. Susanne Bobzien (1996). Stoic Syllogistic. Oxford Studies in Ancient Philosophy 14:133-92.score: 74.0
    ABSTRACT: For the Stoics, a syllogism is a formally valid argument; the primary function of their syllogistic is to establish such formal validity. Stoic syllogistic is a system of formal logic that relies on two types of argumental rules: (i) 5 rules (the accounts of the indemonstrables) which determine whether any given argument is an indemonstrable argument, i.e. an elementary syllogism the validity of which is not in need of further demonstration; (ii) one unary and three binary argumental rules which (...)
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  26. Cassiano Terra Rodrigues (2011). The Method of Scientific Discovery in Peirce's Philosophy: Deduction, Induction, and Abduction. [REVIEW] Logica Universalis 5 (1):127-164.score: 74.0
    In this paper we will show Peirce’s distinction between deduction, induction and abduction. The aim of the paper is to show how Peirce changed his views on the subject, from an understanding of deduction, induction and hypotheses as types of reasoning to understanding them as stages of inquiry very tightly connected. In order to get a better understanding of Peirce’s originality on this, we show Peirce’s distinctions between qualitative and quantitative induction and between theorematical and corollarial deduction, (...)
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  27. Robert F. Belli (1986). Mechanist And Organicist Parallels Between Theories Of Memory And Science. Journal of Mind and Behavior 7:63-86.score: 73.0
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  28. Francis W. Irwin & W. A. S. Smith (1956). Further Tests of Theories of Decision in an "Expanded Judgment" Situation. Journal of Experimental Psychology 52 (6):345.score: 73.0
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  29. Olivier Darrigol (2008). The Modular Structure of Physical Theories. Synthese 162 (2):195 - 223.score: 72.7
    Any advanced theory of physics contains modules defined as essential components that are themselves theories with different domains of application. Different kinds of modules can be distinguished according to the way in which they fit in the symbolic and interpretive apparatus of a theory. The number and kind of the modules of a given theory vary as the theory evolves in time. The relative stability of modules and the variability of their insertion in other theories play a vital (...)
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  30. Wang Lu (2008). Theories of Meaning. Frontiers of Philosophy in China 3 (1):83-98.score: 72.3
    Research into logical syntax provides us the knowledge of the structure of sentences, while logical semantics provides a window into uncovering the truth of sentences. Therefore, it is natural to make sentences and truth the central concern when one deals with the theory of meaning logically. Although their theories of meaning differ greatly, both Michael Dummett’s theory and Donald Davidson’s theory are concerned with sentences and truth and developed in terms of truth. Logical theories and methods first introduced (...)
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  31. Anil Gomes (2010). Is Kant's Transcendental Deduction of the Categories Fit for Purpose? Kantian Review 15 (2):118-137.score: 72.0
    James Van Cleve has argued that Kant’s Transcendental Deduction of the categories shows, at most, that we must apply the categories to experience. And this falls short of Kant’s aim, which is to show that they must so apply. In this discussion I argue that once we have noted the differences between the first and second editions of the Deduction, this objection is less telling. But Van Cleve’s objection can help illuminate the structure of the B Deduction, (...)
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  32. Enrique Frias-Martinez & Fernand Gobet (2007). Automatic Generation of Cognitive Theories Using Genetic Programming. Minds and Machines 17 (3):287-309.score: 72.0
    Cognitive neuroscience is the branch of neuroscience that studies the neural mechanisms underpinning cognition and develops theories explaining them. Within cognitive neuroscience, computational neuroscience focuses on modeling behavior, using theories expressed as computer programs. Up to now, computational theories have been formulated by neuroscientists. In this paper, we present a new approach to theory development in neuroscience: the automatic generation and testing of cognitive theories using genetic programming (GP). Our approach evolves from experimental data cognitive (...) that explain “the mental program” that subjects use to solve a specific task. As an example, we have focused on a typical neuroscience experiment, the delayed-match-to-sample (DMTS) task. The main goal of our approach is to develop a tool that neuroscientists can use to develop better cognitive theories. (shrink)
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  33. Stephen G. Brush (2002). How Theories Became Knowledge: Morgan's Chromosome Theory of Heredity in America and Britain. [REVIEW] Journal of the History of Biology 35 (3):471 - 535.score: 71.7
    T. H. Morgan, A. H. Sturtevant, H. J. Muller and C. B. Bridges published their comprehensive treatise "The Mechanism of Mendelian Heredity" in 1915. By 1920 Morgan's "Chromosome Theory of Heredity" was generally accepted by geneticists in the United States, and by British geneticists by 1925. By 1930 it had been incorporated into most general biology, botany, and zoology textbooks as established knowledge. In this paper, I examine the reasons why it was accepted as part of a series (...)
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  34. Javier Legris (2001). Deducción Y Conocimiento En Los Orígenes de la Teoría de la Demostración (Deduction and Knowledge in the Origins of Proof Theory). Theoria 16 (3):521-538.score: 70.0
    Este trabajo tiene por objetivo examinar la idea de deducción metamatemática en el programa de Hilbert, mostrando su dependencia de conceptos gnoseológicos, tales como el de conocimiento intuitivo. También se comparará esta concepcion de la deducción con la fundamentación intuicionista de la logica. Sostendré que esta deducción metamatemática lleva a una caracterización de la logica como una teoría de las deducciones formales en un sentido particular.This paper aims to examine the idea of metamathematical deduction in Hilbert’s program showing its (...)
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  35. David-Hillel Ruben (2008). Disjunctive Theories of Perception and Action. In Adrian Haddock & Fiona Macpherson (eds.), Disjunctivism: Perception, Action, Knowledge. Oxford University Press. 227--243.score: 69.3
    A comparison of disjunctive theories of action and perception. The development of a theory of action that warrants the name, a disjunctive theory. On this theory, there is an exclusive disjunction: either an action or an event (in one sense). It follows that in that sense basic actions do not have events intrinsic to them.
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  36. Herman T. Tavani (2007). Philosophical Theories of Privacy: Implications for an Adequate Online Privacy Policy. Metaphilosophy 38 (1):1–22.score: 69.3
    This essay critically examines some classic philosophical and legal theories of privacy, organized into four categories: the nonintrusion, seclusion, limitation, and control theories of privacy. Although each theory includes one or more important insights regarding the concept of privacy, I argue that each falls short of providing an adequate account of privacy. I then examine and defend a theory of privacy that incorporates elements of the classic theories into one unified theory: the Restricted Access/Limited Control (RALC) theory (...)
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  37. Jussi Jylkkä (2008). Theories of Natural Kind Term Reference and Empirical Psychology. Philosophical Studies 139 (2):153-169.score: 69.3
    In this paper, I argue that the causal and description theories of natural kind term reference involve certain psychological elements. My main goal is to refine these theories with the help of empirical psychology of concepts, and to argue that the refinement process ultimately leads to the dissolution of boundaries between the two kinds of theories. However, neither the refined theories nor any other existing theories provide an adequate answer to the question of what makes (...)
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  38. Jay Newhard (2009). The Chrysippus Intuition and Contextual Theories of Truth. Philosophical Studies 142 (3):345 - 352.score: 69.3
    Contextual theories of truth are motivated primarily by the resolution they provide to paradoxical reasoning about truth. The principal argument for contextual theories of truth relies on a key intuition about the truth value of the proposition expressed by a particular utterance made during paradoxical reasoning, which Anil Gupta calls “the Chrysippus intuition.” In this paper, I argue that the principal argument for contextual theories of truth is circular, and that the Chrysippus intuition is false. I conclude (...)
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  39. John L. Pollock (1986/1987). Contemporary Theories of Knowledge. Hutchinson.score: 69.3
    This new edition of the classic Contemporary Theories of Knowledge has been significantly updated to include analyses of the recent literature in epistemology.
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  40. Corin Gurr, John Lee & Keith Stenning (1998). Theories of Diagrammatic Reasoning: Distinguishing Component Problems. [REVIEW] Minds and Machines 8 (4):533-557.score: 69.3
    Theories of diagrams and diagrammatic reasoning typically seek to account for either the formal semantics of diagrams, or for the advantages which diagrammatic representations hold for the reasoner over other forms of representation. Regrettably, almost no theory exists which accounts for both of these issues together, nor how they affect one another. We do not attempt to provide such an account here. We do, however, seek to lay out larger context than is generally used for examining the processes of (...)
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  41. G. Randolph Mayes, Theories of Explanation. Internet Encyclopedia of Philosophy.score: 69.0
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  42. A. Polikarov (1998). A Draft for Unifying Controversies in Philosophy of Science. Journal for General Philosophy of Science 29 (2):225-244.score: 69.0
    The basic (negative and positive) methodological maxims of three currents of philosophy of science (logical empiricism, falsificationism, and postpositivism) are formulated. Many of these maxims (stratagems) are controversial, e.g., the stance about the nonsense of metaphysics, and that of its indispensability. The restricted validity of these maxims allows for their unification. Within the framework of most of them there may be a relationship of (synchronic, or diachronic) subordination of the contradicting desiderata. In this vein ten stratagems are formulated.
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  43. Werner Callebaut (2013). Naturalizing Theorizing: Beyond a Theory of Biological Theories. [REVIEW] Biological Theory 7 (4):413-429.score: 69.0
    Although “theory” has been the prevalent unit of analysis in the meta-study of science throughout most of the twentieth century, the concept remains elusive. I further explore the leitmotiv of several authors in this issue: that we should deal with theorizing (rather than theory) in biology as a cognitive activity that is to be investigated naturalistically. I first contrast how philosophers and biologists have tended to think about theory in the last century or so, and consider recent calls to upgrade (...)
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  44. Chris Heathwood (2011). Desire-Based Theories of Reasons, Pleasure, and Welfare. Oxford Studies in Metaethics 6:79-106.score: 68.0
    One of the most important disputes in the foundations of ethics concerns the source of practical reasons. On the desire-based view, only one’s desires provide one with reasons to act. On the value-based view, reasons are instead provided by the objective evaluative facts, and never by our desires. Similarly, there are desire-based and non-desired-based theories about two other issues: pleasure and welfare. It has been argued, and is natural to think, that holding a desire-based theory about either pleasure or (...)
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  45. Andrew Youpa (2010). Spinoza's Theories of Value. British Journal for the History of Philosophy 18 (2):209 – 229.score: 65.0
    According to a widely accepted reading of the "Ethics," Spinoza subscribes to a desire-satisfaction theory of value. A desire-satisfaction theory says that what has value is the satisfaction of one’s desires and whatever leads to the satisfaction of one’s desires. In this paper I argue that this standard reading is incorrect, and I show that in Spinoza’s view the foundation of what is truly valuable is the perfection of a person’s essence, not the satisfaction of a person’s desires.
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  46. Alexander Rueger (2006). Connection and Influence: A Process Theory of Causation. [REVIEW] Journal for General Philosophy of Science 37 (1):77 - 97.score: 65.0
    A combination of process and counterfactual theories of causation is proposed with the aim of preserving the strengths of each of the approaches while avoiding their shortcomings. The basis for the combination, or hybrid, view is the need, common to both accounts, of imposing a stability requirement on the causal relation.
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  47. David Baumslag (2000). How to Test Normative Theories of Science. Journal for General Philosophy of Science 31 (2):267-275.score: 65.0
    In this paper I discuss how descriptive studies of science, increasingly emphasised by philosophers of science, can be used to test normative theories of science. I claim that we can use cases of scientific practice as counter examples; if the practice of a given scientist can be shown to be justified and it diverges from the prescriptions of a scientific theory then the theory should be rejected. This approach differs from those offered by previous philosophers of science and (...)
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  48. Yoshihiro Horihata (2012). Weak Theories of Concatenation and Arithmetic. Notre Dame Journal of Formal Logic 53 (2):203-222.score: 65.0
    We define a new theory of concatenation WTC which is much weaker than Grzegorczyk's well-known theory TC. We prove that WTC is mutually interpretable with the weak theory of arithmetic R. The latter is, in a technical sense, much weaker than Robinson's arithmetic Q, but still essentially undecidable. Hence, as a corollary, WTC is also essentially undecidable.
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  49. Allard Tamminga (1994). Logics of Rejection: Two Systems of Natural Deduction. Logique Et Analyse 146:169-208.score: 65.0
    This paper presents two systems of natural deduction for the rejection of non-tautologies of classical propositional logic. The first system is sound and complete with respect to the body of all non-tautologies, the second system is sound and complete with respect to the body of all contradictions. The second system is a subsystem of the first. Starting with Jan Łukasiewicz's work, we describe the historical development of theories of rejection for classical propositional logic. Subsequently, we present the two (...)
     
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  50. Philip Hugly & Charles Sayward (1977). Theories of Truth and Semantical Primitives. Journal of Philosophical Logic 6 (1):349 - 354.score: 64.3
    Robert cummins has recently attacked this line of argument: if p is a semantically primitive predicate of a first order language l, then p requires its own clause in the definition of satisfaction integral to a definition of truth of l. thus if l has infinitely many such p, the satisfaction clause cannot be completed and truth for l will remain undefined. against this cummins argues that a single clause in a general base theory for l can specify satisfaction conditions (...)
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