Results for 'many‐sorted theories'

999 found
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  1.  28
    Connecting Many-Sorted Theories.Franz Baader & Silvio Ghilardi - 2007 - Journal of Symbolic Logic 72 (2):535 - 583.
    Basically, the connection of two many-sorted theories is obtained by taking their disjoint union, and then connecting the two parts through connection functions that must behave like homomorphisms on the shared signature. We determine conditions under which decidability of the validity of universal formulae in the component theories transfers to their connection. In addition, we consider variants of the basic connection scheme. Our results can be seen as a generalization of the so-called E-connection approach for combining modal logics (...)
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  2.  77
    Logic of many-sorted theories.Hao Wang - 1952 - Journal of Symbolic Logic 17 (2):105-116.
  3.  16
    Wang Hao. Logic of many-sorted theories.Arnold Schmidt - 1953 - Journal of Symbolic Logic 18 (1):77-77.
  4.  41
    A note on interpretations of many-sorted theories.Julian L. Hook - 1985 - Journal of Symbolic Logic 50 (2):372-374.
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  5.  27
    P. C. Gilmore. An addition to “Logic of many-sorted theories.”Compositio mathematica, vol. 13 , pp. 277–281.H. Arnold Schmidt - 1968 - Journal of Symbolic Logic 32 (4):521.
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  6. Quine’s conjecture on many-sorted logic.Thomas William Barrett & Hans Halvorson - 2017 - Synthese 194 (9):3563-3582.
    Quine often argued for a simple, untyped system of logic rather than the typed systems that were championed by Russell and Carnap, among others. He claimed that nothing important would be lost by eliminating sorts, and the result would be additional simplicity and elegance. In support of this claim, Quine conjectured that every many-sorted theory is equivalent to a single-sorted theory. We make this conjecture precise, and prove that it is true, at least according to one reasonable notion of theoretical (...)
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  7.  13
    Review: Hao Wang, Logic of Many-Sorted Theories[REVIEW]Arnold Schmidt - 1953 - Journal of Symbolic Logic 18 (1):77-77.
  8. Review: P. C. Gilmore, An Addition to "Logic of Many-Sorted Theories.". [REVIEW]H. Arnold Schmidt - 1967 - Journal of Symbolic Logic 32 (4):521-521.
  9.  16
    First-order theories as many-sorted algebras.V. Manca & A. Salibra - 1984 - Notre Dame Journal of Formal Logic 25 (1):86-94.
  10.  57
    Coinductive formulas and a many-sorted interpolation theorem.Ursula Gropp - 1988 - Journal of Symbolic Logic 53 (3):937-960.
    We use connections between conjunctive game formulas and the theory of inductive definitions to define the notions of a coinductive formula and its approximations. Corresponding to the theory of conjunctive game formulas we develop a theory of coinductive formulas, including a covering theorem and a normal form theorem for many sorted languages. Applying both theorems and the results on "model interpolation" obtained in this paper, we prove a many-sorted interpolation theorem for ω 1 ω-logic, which considers interpolation with respect to (...)
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  11.  43
    A characterization of ML in many-sorted arithmetic with conditional application.M. D. G. Swaen - 1992 - Journal of Symbolic Logic 57 (3):924 - 953.
    In this paper we discuss an interpretation of intuitionistic type theory in many-sorted arithmetic with so-called conditional application. Via the formulas-as-types correspondence the arithmetical system in turn can be embedded in ML, resulting in a characterization of strong Σ-elimination by an axiom of conditional choice.
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  12.  11
    Co-theory of sorted profinite groups for PAC structures.Daniel Max Hoffmann & Junguk Lee - 2023 - Journal of Mathematical Logic 23 (3).
    We achieve several results. First, we develop a variant of the theory of absolute Galois groups in the context of many sorted structures. Second, we provide a method for coding absolute Galois groups of structures, so they can be interpreted in some monster model with an additional predicate. Third, we prove the “Weak Independence Theorem” for pseudo-algebraically closed (PAC) substructures of an ambient structure with no finite cover property (nfcp) and the property [Formula: see text]. Fourth, we describe Kim-dividing in (...)
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  13.  31
    Kierkegaard and divine-command theory: Replies to Quinn and Evans: R. Zachary Manis.R. Zachary Manis - 2009 - Religious Studies 45 (3):289-307.
    One of the most important recent developments in the discussion of Kierkegaard's ethics is an interpretation defended, in different forms, by Philip Quinn and Stephen Evans. Both argue that a divine-command theory of moral obligation is to be found in Works of Love . Against this view, I argue that, despite significant overlap between DCT and the view of moral obligation found in Works of Love , there is at least one essential difference between the two: the former, but not (...)
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  14.  45
    Many-Hilbert-spaces theory of quantum measurements.Mikio Namiki - 1988 - Foundations of Physics 18 (1):29-55.
    The many-Hilbert-spaces theory of quantum measurements, which was originally proposed by S. Machida and the present author, is reviewed and developed. Dividing a typical quantum measurement in two successive steps, the first being responsible for spectral decomposition and the second for detection, we point out that the wave packet reduction by measurement takes place at the latter step, through interaction of an object system with one of the local systems of detectors. First we discuss the physics of the detection process, (...)
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  15.  23
    "Possible definitions of an 'a priori' granule in general rough set theory" by A. Mani.Mani A. - unknown
    We introduce an abstract framework for general rough set theory from a mereological perspective and consider possible concepts of ’a priori’ granules and granulation in the same. The framework is ideal for relaxing many of the relatively superfluous set-theoretic axioms and for improving the semantics of many relation based, cover-based and dialectical rough set theories. This is a relatively simplified presentation of a section in three different recent research papers by the present author.
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  16.  21
    The many theories of mind: eliminativism and pluralism in context.Joe Gough - 2022 - Synthese 200 (4):1-22.
    In recent philosophy of science there has been much discussion of both pluralism, which embraces scientific terms with multiple meanings, and eliminativism, which rejects such terms. Some recent work focuses on the conditions that legitimize pluralism over eliminativism – the conditions under which such terms are acceptable. Often, this is understood as a matter of encouraging effective communication – the danger of these terms is thought to be equivocation, while the advantage is thought to be the fulfilment of ‘bridging roles’ (...)
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  17. Against eliminating sorts.Hans Halvorson - manuscript
    Each many-sorted theory can be converted to an unsorted theory. But this conversion procedure is not uniquely determined, leading to a dilemma: which unsorted theory captures the content of the corresponding many-sorted theory?
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  18. Kierkegaard and divine-command theory: Replies to Quinn and Evans.R. Zachary Manis - 2009 - Religious Studies 45 (3):289-307.
    One of the most important recent developments in the discussion of Kierkegaard's ethics is an interpretation defended, in different forms, by Philip Quinn and Stephen Evans. Both argue that a divine-command theory of moral obligation (DCT) is to be found in "Works of Love". Against this view, I argue that, despite significant overlap between DCT and the view of moral obligation found in "Works of Love", there is at least one essential difference between the two: the former, but not the (...)
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  19.  19
    Doctors that “doctor” sickness certificates: cunning intelligence as an ability and possibly a virtue among Swedish GPs.Mani Shutzberg - 2020 - Medicine, Health Care and Philosophy 23 (3):445-456.
    The relations of power between healthcare-related institutions and the professionals that interact with them are changing. Generally, the institutions are gaining the upper hand. Consequently, the intellectual abilities necessary for professionals to pursue the internal goods of healthcare are changing as well. A concrete case is the struggle over sickness benefits in Sweden, in which theSwedish Social Insurance Agency(SSIA) and physicians are important stakeholders. The SSIA has recently consolidated its power over the sickness certificates that doctors issue for their patients. (...)
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  20.  20
    Virtues, divine commands, and the debt of creation: towards a Kierkegaardian Christian ethic.R. Zachary Manis - 2006 - Dissertation, Baylor University
    Though Kierkegaard's ethic in "Works of Love" frequently has been a target of harsh — and often uncharitable — criticism, a number of recent treatments have sought to defend both its viability and its relevance to the contemporary discussion. Increasingly, the literature is replete with interpretations that situate it within the traditions of virtue ethics and/or divine command theory. I evaluate these readings, focusing primarily on the issue of moral obligation in Kierkegaard's writings. I argue that both the virtue and (...)
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  21. Jin u felsefe: felsefey cênderîy =.Samał Manîy - 2021 - Soran [Kurdistan, Iraq]: Le Biławkirawekanî Kitêbfroşi Mêxek.
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  22. Chance in human affairs.Jerome G. Manis & Bernard N. Meltzer - 1994 - Sociological Theory 12 (1):45-56.
    Under the sway of the postulate of determinism, sociologists (with some exceptions) have given little direct attention to sheerly fortuitous events. Such events are analytically distinguishable from those which are considered the results of chance only because we currently lack knowledge of their causation. Exemplifications of pure chance abound in the various arts and sciences, including sociology (especially in work by symbolic interactionists). Direct, explicit consideration of random, accidental, or chance phenomena requires approaches that emphasize both the processes of behavior (...)
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  23.  29
    Philosophy of Religion: Thinking About Faith.C. Stephen Evans & R. Zachary Manis - 2009 - Ivp Academic. Edited by R. Zachary Manis.
    General preface -- Preface to the second edition -- What is philosophy of religion? -- Philosophy of religion and other disciplines -- Philosophy of religion and philosophy -- Can thinking about religion be neutral? -- Fideism -- Neutralism -- Critical dialogue -- The theistic God : the project of natural theology -- Concepts of God -- The theistic concept of God -- A case study : divine foreknowledge and human freedom -- The problem of religious language -- Natural theology -- (...)
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  24. One mechanism, many models: a distributed theory of mechanistic explanation.Eric Hochstein - 2016 - Synthese 193 (5):1387-1407.
    There have been recent disagreements in the philosophy of neuroscience regarding which sorts of scientific models provide mechanistic explanations, and which do not. These disagreements often hinge on two commonly adopted, but conflicting, ways of understanding mechanistic explanations: what I call the “representation-as” account, and the “representation-of” account. In this paper, I argue that neither account does justice to neuroscientific practice. In their place, I offer a new alternative that can defuse some of these disagreements. I argue that individual models (...)
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  25.  16
    Elimination of quantifiers over vectors in some theories of vector spaces.Andrey A. Kuzichev - 1992 - Mathematical Logic Quarterly 38 (1):575-577.
    We consider two-sorted theories of vector spaces and prove a criterion for the assertion that such a theory allows elimination of quantifiers over vector variables.
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  26. A Critique of MacIntyrean Morality from a Kantian Perspective.Krishna Mani Pathak - 2014 - SAGE Open 4 (2):1-10.
    This article is a critical examination of MacIntyre’s notion of morality in reference to Kant’s deontological moral theory. The examination shows that MacIntyre (a) criticizes Kant’s moral theory to defend virtue ethics or neo-Aristotelian ethics with a weak notion of morality; (b) favors the idea of local morality, which does not leave any room for moral assessment and reciprocity in an intercultural domain; and (c) fails to provide good arguments for his moral historicism and against Kant’s moral universalism.
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  27.  15
    Shaking Up (and Keeping Intact) the Old Boys’ Network: The Impact of the Mandatory Gender Quota on the Board of Directors in India.Bibek Bhattacharya, Ipsu Khadka & Dalhia Mani - 2022 - Journal of Business Ethics 177 (4):763-778.
    Prior research on the impact of mandatory quotas in one dimension of diversity, on other dimensions, shows contradictory results. We seek to resolve this puzzle by relying on theory in social psychology on homophily and recategorization processes in hiring. In the context of a law mandating a gender quota on Indian boards, we predict and find that boards respond to the law by hiring new women directors who are similar to existing directors in terms of caste and community dimensions. We (...)
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  28. Agency, chance, and causality: A rejoinder.Bernard N. Meltzer & Jerome G. Manis - 1995 - Sociological Theory 13 (2):203-205.
  29.  21
    Selfhood and the Problem of Sameness: Some Reflections.Krishna Mani Pathak - 2022 - Journal of the Indian Council of Philosophical Research 39 (2):125-149.
    This paper examines the problem of sameness in terms of being it the classical problem of personal identity and various philosophical positions on the existence of the self as a substantive subject. I call this subject an ethical Self, which involves different notions of ego, being, substance, and personhood. The denial of the existence of a permanent self by philosophers like Hume and Buddhists does not seem justified in regard to one's identity or sameness over time. The no-self theorists do (...)
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  30. Change.Rick Davies, Lara Mani & Tom Hobson - 2024 - In Andrew Koleros, Marie-Hélène Adrien & Tony Tyrrell (eds.), Theories of change in reality: strengths, limitations and future directions. New York, NY: Routledge.
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  31.  12
    Quietism, Agnosticism and Mysticism Mapping the Philosophical Discourse of the East and the West.Krishna Mani Pathak (ed.) - 2021 - Springer, Singapore.
    This book presents a unique collection of papers on various philosophical aspects of the unknown and unvoiced truth and reality of the cosmic world. It offers a systematic analysis of the three philosophical theories of Quietism, Agnosticism and Mysticism and introduces readers to the fundamentals of mystical knowledge claimed by philosophical schools of the east and the west. It discusses, debates and deliberates on philosophical issues concerning the acquisition of truth, its objectivity and its various dimensions along with the (...)
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  32.  11
    Multi-sorted version of second order arithmetic.Farida Kachapova - 2016 - Australasian Journal of Logic 13 (5).
    This paper describes axiomatic theories SA and SAR, which are versions of second order arithmetic with countably many sorts for sets of natural numbers. The theories are intended to be applied in reverse mathematics because their multi-sorted language allows to express some mathematical statements in more natural form than in the standard second order arithmetic. We study metamathematical properties of the theories SA, SAR and their fragments. We show that SA is mutually interpretable with the theory of (...)
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  33. Sorting out the sorites.David Ripley - 2013 - In Francesco Berto, Edwin Mares & Koji Tanaka (eds.), Paraconsistency: Logic and Applications. pp. 329-348.
    Supervaluational theories of vagueness have achieved considerable popularity in the past decades, as seen in eg [5], [12]. This popularity is only natural; supervaluations let us retain much of the power and simplicity of classical logic, while avoiding the commitment to strict bivalence that strikes many as implausible. Like many nonclassical logics, the supervaluationist system SP has a natural dual, the subvaluationist system SB, explored in eg [6], [28].1 As is usual for such dual systems, the classical features of (...)
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  34.  13
    Sorting is not Categorization: A Critique of the Claim that Brazilians Have Fuzzy Racial Categories.Francisco Gil-White - 2001 - Journal of Cognition and Culture 1 (3):219-249.
    As a result of a spate of studies geared to investigating Brazilian racial categories, it is now believed by many that Brazilians reason about race in a manner quite different to that of Americans. This paper will argue that this conclusion is premature, as the studies in question have not, in fact, investigated Brazilian categories. What they have done is elicit sorting tasks on the basis of appearances, but the cognitive models of respondents have not been investigated in order to (...)
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  35.  10
    Emersiology in Sport Science: The Unconscious Living Body in the Case of Corporeal Non-Property.Marie Agostinucci, Claire Liné, Erwann Jacquot, Juliette Vincent, Edmna Manis, Aline Paintendre, Mary Schirrer & Bernard Andrieu - 2023 - Sport, Ethics and Philosophy 18 (1):67-80.
    The implicit activities of the living body in sports (such as heart rate, involuntary gestures, stress, reflex, emotional regulation and interaction expressions) emerge in the consciousness of the lived body without our voluntary control. We demonstrate physiological emersion, and how, including in dramaturgical perception, physiological flows and processes collide with the image of a whole body. In this paper, we introduce corporeal non-property as the missing (?) link between phenomenology and neuroscience, renewed by research on the cerebral unconscious and the (...)
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  36.  22
    Type Theory with Opposite Types: A Paraconsistent Type Theory.Juan C. Agudelo-Agudelo & Andrés Sicard-Ramírez - 2022 - Logic Journal of the IGPL 30 (5):777-806.
    A version of intuitionistic type theory is extended with opposite types, allowing a different formalization of negation and obtaining a paraconsistent type theory (⁠|$\textsf{PTT} $|⁠). The rules for opposite types in |$\textsf{PTT} $| are based on the rules of the so-called constructible falsity. A propositions-as-types correspondence between the many-sorted paraconsistent logic |$\textsf{PL}_\textsf{S} $| (a many-sorted extension of López-Escobar’s refutability calculus presented in natural deduction format) and |$\textsf{PTT} $| is proven. Moreover, a translation of |$\textsf{PTT} $| into intuitionistic type theory is (...)
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  37.  10
    Definition-like Extensions by Sorts.Claudia Maria & Paulo S. Veloso - 1995 - Logic Journal of the IGPL 3 (4):579-595.
    Implementation of formal specifications is very important in formal software development and can be described in terms of simple logical concepts. Formal specifications are presentations of theories in many-sorted first-order logic, and an implementation of a formal specification on another formal specification amounts to an interpretation of the former into a conservative extension of the latter. Here we present and analyse some sort introducing constructs akin to those found in many programming languages. This is of importance because it occurs (...)
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  38.  13
    Ranking comment sorting policies in online debates.Anthony P. Young, Sagar Joglekar, Gioia Boschi & Nishanth Sastry - forthcoming - Argument and Computation:1-21.
    Online debates typically possess a large number of argumentative comments. Most readers who would like to see which comments are winning arguments often only read a part of the debate. Many platforms that host such debates allow for the comments to be sorted, say from the earliest to latest. How can argumentation theory be used to evaluate the effectiveness of such policies of sorting comments, in terms of the actually winning arguments displayed to a reader who may not have read (...)
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  39. Virtue Theory and Abortion.Rosalind Hursthouse - 1991 - Philosophy and Public Affairs 20 (3):223-246.
    The sort of ethical theory derived from Aristotle, variously described as virtue ethics, virtue-based ethics, or neo-Aristotelianism, is becoming better known, and is now quite widely recognized as at least a possible rival to deontological and utilitarian theories. With recognition has come criticism, of varying quality. In this article I shall discuss nine separate criticisms that I have frequently encountered, most of which seem to me to betray an inadequate grasp either of the structure of virtue theory or of (...)
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  40.  27
    Virtue Theory and Abortion.Rosalind Hursthouse - 1997 - In Roger Crisp & Michael Slote (eds.), Virtue Ethics. Oxford University Press.
    The sort of ethical theory derived from Aristotle, variously described as virtue ethics, virtue-based ethics, or neo-Aristotelianism, is becoming better known, and is now quite widely recognized as at least a possible rival to deontological and utilitarian theories. With recognition has come criticism, of varying quality. In this article I shall discuss nine separate criticisms that I have frequently encountered, most of which seem to me to betray an inadequate grasp either of the structure of virtue theory or of (...)
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  41. The many faces of consciousness: A field guide.Güven Güzeldere - 1997 - In Ned Block, Owen Flanagan & Güven Güzeldere (eds.), The Nature of Consciousness: Philosophical Debates. MIT Press. pp. 1-345.
    This dissertation argues for a "bundle thesis" of phenomenal consciousness: that the ways things seem to subjects are constituted by bundles of representational and functional properties. I argue that qualia are determined not only by intrinsic properties, but also by relational properties to other bodily and mental states . The view developed on the basis of this claim is called "phenomenal holism." ;Part I examines the current literature on phenomenal consciousness, sorting out various conceptual and historical issues. In particular, I (...)
     
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  42. How Many Feminists Does It Take to Make A Joke? Sexist Humor and What's Wrong with It.Merrie Bergmann - 1986 - Hypatia 1 (1):63 - 82.
    In this paper I am concerned with two questions: What is sexist humor? and what is wrong with it? To answer the first question, I briefly develop a theory of humor and then characterize sexist humor as humor in which sexist beliefs (attitudes/norms) are presupposed and are necessary to the fun. Concerning the second question, I criticize a common sort of argument that is supposed to explain why sexist humor is offensive: although the argument explains why sexist humor feels offensive, (...)
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  43. How Many Feminists Does It Take To Make A Joke? Sexist Humor and What's Wrong With It.Memo Bergmann - 1986 - Hypatia 1 (1):63-82.
    In this paper I am concerned with two questions: What is sexist humor? and what is wrong with it? To answer the first question, I briefly develop a theory of humor and then characterize sexist humor as humor in which sexist beliefs are presupposed and are necessary to the fun. Concerning the second question, I criticize a common sort of argument that is supposed to explain why sexist humor is offensive: although the argument explains why sexist humor feels offensive, it (...)
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  44.  14
    Virtue Theory and Abortion.Rosalind Hursthouse - 1997 - In Daniel Statman (ed.), Virtue Ethics: A Critical Reader. Edinburgh University Press. pp. 227-244.
    The sort of ethical theory derived from Aristotle, variously described as virtue ethics, virtue-based ethics, or neo-Aristotelianism, is becoming better known, and is now quite widely recognized as at least a possible rival to deontological and utilitarian theories. With recognition has come criticism, of varying quality. In this article I shall discuss nine separate criticisms that I have frequently encountered, most of which seem to me to betray an inadequate grasp either of the structure of virtue theory or of (...)
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  45.  19
    The (Many) Foundations of Knowledge.Walter Hopp - 2012 - In Dan Zahavi (ed.), The Oxford handbook of contemporary phenomenology. Oxford: Oxford University Press.
    This paper presents the outlines of a phenomenological theory of foundational or non-inferential knowledge according to which the facts or states of affairs towards which our beliefs are intentionally directed can sometimes serve as reasons or evidence for what we believe. This occurs in acts of fulfillment, in which an object or state of affairs is given as it is thought to be. Hopp further argues that the sorts of empirical facts that can serve as reasons for noninferentially justified beliefs (...)
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  46.  23
    Can Theories be Refuted?: Essays on the Duhem-Quine Thesis.Sandra Harding - 1975 - Reidel.
    According to a view assumed by many scientists and philosophers of science and standardly found in science textbooks, it is controlled ex perience which provides the basis for distinguishing between acceptable and unacceptable theories in science: acceptable theories are those which can pass empirical tests. It has often been thought that a certain sort of test is particularly significant: 'crucial experiments' provide supporting empiri cal evidence for one theory while providing conclusive evidence against another. However, in 1906 Pierre (...)
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  47. Spinozian Model Theory.Justin Bledin & Yitzhak Y. Melamed - 2020 - Advances in Modern Logic 13:133-147.
    his paper is an excerpt from a larger project that aims to open a new pathway into Spinoza's Ethics by formally reconstructing an initial fragment of this text. The semantic backbone of the project is a custom-made Spinozian model theory that lays out some of the formal prerequisites for more ne-grained investigations into Spinoza's fundamental ontology and modal metaphysics. We implement Spinoza's theory of attributes using many-sorted models with a rich system of identity that allows us to clarify the puzzling (...)
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  48.  87
    Discarded theories: the role of changing interests.K. Brad Wray - 2019 - Synthese 196 (2):553-569.
    I take another look at the history of science and offer some fresh insights into why the history of science is filled with discarded theories. I argue that the history of science is just as we should expect it to be, given the following two facts about science: theories are always only partial representations of the world, and almost inevitably scientists will be led to investigate phenomena that the accepted theory is not fit to account for. Together these (...)
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  49. Ruling Passions: A Theory of Practical Reasoning.Simon Blackburn - 1998 - New York: Oxford University Press UK.
    Simon Blackburn puts forward a compelling original philosophy of human motivation and morality. He maintains that we cannot get clear about ethics until we get clear about human nature. So these are the sorts of questions he addresses: Why do we behave as we do? Can we improve? Is our ethics at war with our passions, or is it an upshot of those passions? Blackburn seeks the answers in an exploration of guilt, shame, disgust, and other moral emotions; he draws (...)
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  50. Five theories of reasoning: Interconnections and applications to mathematics.Alison Pease & Andrew Aberdein - 2011 - Logic and Logical Philosophy 20 (1-2):7-57.
    The last century has seen many disciplines place a greater priority on understanding how people reason in a particular domain, and several illuminating theories of informal logic and argumentation have been developed. Perhaps owing to their diverse backgrounds, there are several connections and overlapping ideas between the theories, which appear to have been overlooked. We focus on Peirce’s development of abductive reasoning [39], Toulmin’s argumentation layout [52], Lakatos’s theory of reasoning in mathematics [23], Pollock’s notions of counterexample [44], (...)
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