Results for ' substitutivity'

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  1. Organ donation and transplantation.Human Organs & Substituted Judgement Doctrine - 1984 - Bioethics Reporter 1 (1).
     
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  2. Substituting the senses.Julian Kiverstein, Mirko Farina & Andy Clark - 2015 - In Mohan Matthen (ed.), The Oxford Handbook of the Philosophy of Perception. New York, NY: Oxford University Press UK.
    Sensory substitution devices are a type of sensory prosthesis that (typically) convert visual stimuli transduced by a camera into tactile or auditory stimulation. They are designed to be used by people with impaired vision so that they can recover some of the functions normally subserved by vision. In this chapter we will consider what philosophers might learn about the nature of the senses from the neuroscience of sensory substitution. We will show how sensory substitution devices work by exploiting the cross-modal (...)
     
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  3.  66
    Generic substitutions.Giovanni Panti - 2005 - Journal of Symbolic Logic 70 (1):61-83.
    Up to equivalence, a substitution in propositional logic is an endomorphism of its free algebra. On the dual space, this results in a continuous function, and whenever the space carries a natural measure one may ask about the stochastic properties of the action. In classical logic there is a strong dichotomy: while over finitely many propositional variables everything is trivial, the study of the continuous transformations of the Cantor space is the subject of an extensive literature, and is far from (...)
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  4.  56
    Substitution, Identity, and the Subject-Predicate Structure.Genoveva Martı - 2005 - In Michael O'Rourke & Corey Washington (eds.), Situating Semantics: Essays on the Philosophy of John Perry. MIT Press. pp. 93.
    One of the many important tasks of semantics is to provide an account of the substitution patterns of a language—that is, to furnish an explanation of the conditions under which semantic values of complexes are preserved when components are replaced. The importance of this issue is plain: we only have to recall the debates regarding substitutivity between proponents of direct reference theories and advocates of some version of Fregeanism, as well as the disagreements among different proponents of direct reference (...)
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  5. The Substitutional Analysis of Logical Consequence.Volker Halbach - 2019 - Noûs 54 (2):431-450.
    A substitutional account of logical validity for formal first‐order languages is developed and defended against competing accounts such as the model‐theoretic definition of validity. Roughly, a substitution instance of a sentence is defined as the result of uniformly substituting nonlogical expressions in the sentence with expressions of the same grammatical category and possibly relativizing quantifiers. In particular, predicate symbols can be replaced with formulae possibly containing additional free variables. A sentence is defined to be logically true iff all its substitution (...)
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  6.  7
    Substitute: going to school with a thousand kids.Nicholson Baker - 2016 - New York: Blue Rider Press.
    Describes how the author became an on-call substitute teacher in pursuit of the realities of American public education, describing his complex difficulties with helping educate today's students in spite of flawed curriculums and interpersonal challenges.
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  7. Sensory Substitution and Non-Sensory Feelings.David Suarez, Diana Acosta Navas, Umut Baysan & Kevin Connolly - 2018 - In Fiona Macpherson (ed.), Sensory Substitution and Augmentation. Oxford: Proceedings of the British Academy, Oxford University Press.
    One of the central limitations of sensory substitution devices (SSDs) is their inability to reproduce the non-sensory feelings that are normally associated with visual experiences, especially hedonic and aesthetic responses. This limitation is sometimes reported to cause SSD users frustration. To make matters worse, it is unclear that improvements in acuity, bandwidth, or training will resolve the issue. Yet, if SSDs are to actually reproduce visual experience in its fullness, it seems that the reproduction of non-sensory feelings will be of (...)
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  8.  57
    Substitution in relevant logics.Tore Fjetland Øgaard - 2019 - Review of Symbolic Logic (3):1-26.
    This essay discusses rules and semantic clauses relating to Substitution—Leibniz’s law in the conjunctive-implicational form s=t ∧ A(s) → A(t)—as these are put forward in Priest’s books "In Contradiction" and "An Introduction to Non-Classical Logic: From If to Is." The stated rules and clauses are shown to be too weak in some cases and too strong in others. New ones are presented and shown to be correct. Justification for the various rules are probed and it is argued that Substitution ought (...)
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  9. Substitution Structures.Andrew Bacon - 2019 - Journal of Philosophical Logic 48 (6):1017-1075.
    An increasing amount of twenty-first century metaphysics is couched in explicitly hyperintensional terms. A prerequisite of hyperintensional metaphysics is that reality itself be hyperintensional: at the metaphysical level, propositions, properties, operators, and other elements of the type hierarchy, must be more fine-grained than functions from possible worlds to extensions. In this paper I develop, in the setting of type theory, a general framework for reasoning about the granularity of propositions and properties. The theory takes as primitive the notion of a (...)
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  10.  41
    Reparative Substitution and the ‘Efficacy Objection’: Toward a Modified Satisfaction Theory of Atonement.Joshua R. Farris & S. Mark Hamilton - 2017 - Perichoresis 15 (3):97-110.
    The doctrine of the atonement is a subject of perpetual curiosity for a number of contemporary theologians. The penal substitution theory of atonement in particular has precipitated a great deal of recent interest, being held up by many Protestants as ‘the’ doctrine of atonement. In this essay, we make a defense against the objection to the Anselmian theory of atonement that is often leveled against it by exponents of the Penal Substitution theory, namely, that Christ’s work does not accomplish anything (...)
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  11.  36
    Sensory substitution and multimodal mental imagery.Bence Nanay - 2017 - Perception 46:1014-1026.
    Many philosophers use findings about sensory substitution devices in the grand debate about how we should individuate the senses. The big question is this: Is “vision” assisted by (tactile) sensory substitution really vision? Or is it tactile perception? Or some sui generis novel form of perception? My claim is that sensory substitution assisted “vision” is neither vision nor tactile perception, because it is not perception at all. It is mental imagery: visual mental imagery triggered by tactile sensory stimulation. But it (...)
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  12. Sensory Substitution and Perceptual Learning.Kevin Connolly - 2018 - In Fiona Macpherson (ed.), Sensory Substitution and Augmentation. Oxford: Proceedings of the British Academy, Oxford University Press.
    When a user integrates a sensory substitution device into her life, the process involves perceptual learning, that is, ‘relatively long-lasting changes to an organism’s perceptual system that improve its ability to respond to its environment’ (Goldstone 1998: 585). In this paper, I explore ways in which the extensive literature on perceptual learning can be applied to help improve sensory substitution devices. I then use these findings to answer a philosophical question. Much of the philosophical debate surrounding sensory substitution devices concerns (...)
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  13.  4
    Substitution: On the Animating Spirit of Economic Rationality.Arpad Szakolczai - forthcoming - Theory, Culture and Society.
    The term ‘substitution’, given minimal attention in thinking, became important in modern logic, but its treatment is highly technical. After a short review of its conceptual-historical background, the article discusses two important contemporary social and cultural theorists of substitution, Roberto Calasso and Michel Serres. It then turns to William Stanley Jevons, who first took up Boole’s logic, formulated the principle ‘substitution of similars’, the presumed heart of reasoning itself, constructed the first computer, and was a founder of neoclassical economics. The (...)
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  14. Sensory Substitution is Substitution.Jean-Rémy Martin & François Le Corre - 2015 - Mind and Language 30 (2):209-233.
    Sensory substitution devices make use of one substituting modality to get access to environmental information normally accessed through another modality . Based on behavioural and neuroimaging data, some authors have claimed that using a vision-substituting device results in visual perception. Reviewing these data, we contend that this claim is untenable. We argue that the kind of information processed by a SSD is metamodal, so that it can be accessed through any sensory modality and that the phenomenology associated with the use (...)
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  15.  14
    Secular substitutes for religion in the modern world.John Rex - 2007 - The Politics and Religion Journal 1 (1):3-10.
    This article seeks to consider the ways in which substitutes for religion have been found both through a discussion of the treatment of religion in the classical sociological theories of Weber; Durkheim and Marx and then the way in which in modern societies alternative sets of belief and practices which fulfi l the same function as religion have been developed in the Communist and the postCommunist and Western worlds.
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  16.  29
    Substituted judgment for the never‐capacitated: Crossing Storar's bridge too far.Jacob M. Appel - 2021 - Bioethics 36 (2):225-231.
    Since several landmark legal decisions in the 1970s and 1980s, substituted judgment has become widely accepted as an approach to decision‐making for incapacitated patients that incorporates their autonomy and interests. Two notable exceptions have been cases involving minors and those involving cognitively or psychiatrically impaired individuals who never previously possessed the ability to contemplate the medical decisions involved in their care. While a best interest standard may have universal merit in pediatric cases, this paper argues that substituted judgement has been (...)
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  17.  97
    Substitution arguments and the individuation of beliefs.Jerry Fodor - 1990 - In George Boolos (ed.), Meaning and Method: Essays in Honor of Hilary Putnam. Cambridge and New York: Cambridge University Press. pp. 63--79.
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  18.  16
    Linear explicit substitutions.N. Ghani, V. de Paiva & E. Ritter - 2000 - Logic Journal of the IGPL 8 (1):7-31.
    The λσ-calculus adds explicit substitutions to the λ-calculus so as to provide a theoretical framework within which the implementation of functional programming languages can be studied. This paper generalises the λσ-calculus to provide a linear calculus of explicit substitutions, called xDILL, which analogously describes the implementation of linear functional programming languages.Our main observation is that there are non-trivial interactions between linearity and explicit substitutions and that xDILL is therefore best understood as a synthesis of its underlying logical structure and the (...)
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  19.  41
    Substitution contradiction, its resolution and the Church-Rosser Theorem in TIL.Miloš Kosterec - 2020 - Journal of Philosophical Logic 49 (1):121-133.
    I present an analysis according to which the current state of the definition of substitution leads to a contradiction in the system of Transparent Intensional Logic. I entail the contradiction using only the basic definitions of TIL and standard results. I then analyse the roots of the contradiction and motivate the path I take in resolving the contradiction. I provide a new amended definition of collision-less substitution which blocks the contradiction in a non-ad hoc way. I elaborate on the consequences (...)
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  20.  29
    Sensory Substitution and Augmentation.Fiona Macpherson (ed.) - 2018 - Oxford: Proceedings of the British Academy, Oxford University Press.
    Sensory substitution and augmentation devices are used to replace or enhance one sense by using another. Fiona Macpherson brings together neuroscientists, psychologists and philosophers to focus on the nature of the perceptual experiences, the sensory interactions, and the changes that occur in the mind and brain while using these technologies.
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  21. Substitutivity.Genoveva Marti - 1989 - Dissertation, Stanford University
    This dissertation examines critically the assumptions of extensionalism and the traditional doctrine of substitutivity, according to which codesignativeness or coextensionality of terms should be a sufficient condition to guarantee intersubstitution of expression salva veritate. First, the discussion focuses on the traditional justifications of the extensionalist principles of substitutivity. The following alleged sources of support for extensionalism are examined: the claim that the extensionalist approach to substitutivity relies on fundamental principles outside the domain of semantics, like the Law (...)
     
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  22.  73
    Anti-Substitution Intuitions and the Content of Belief Reports.Gerry Hough - 2014 - Acta Analytica 29 (3):1-13.
    Philosophers of language traditionally take it that anti-substitution intuitions teach us about the content of belief reports. Jennifer Saul [1997, 2002 (with David Braun), 2007] challenges this lesson. Here I offer a response to Saul’s challenge. In the first two sections of the article, I present a common sense justification for drawing conclusions about content from anti-substitution intuitions. Then, in Sect. 3, I outline Saul’s challenge—what she calls ‘the Enlightenment Problem’. Finally, in Sect. 4, I argue that Saul’s challenge does (...)
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  23. Associative Substitutional Semantics and Quantified Modal Logic.Bartosz Więckowski - 2010 - Studia Logica 94 (1):105-138.
    The paper presents an alternative substitutional semantics for first-order modal logic which, in contrast to traditional substitutional (or truth-value) semantics, allows for a fine-grained explanation of the semantical behavior of the terms from which atomic formulae are composed. In contrast to denotational semantics, which is inherently reference-guided, this semantics supports a non-referential conception of modal truth and does not give rise to the problems which pertain to the philosophical interpretation of objectual domains (concerning, e.g., possibilia or trans-world identity). The paper (...)
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  24.  76
    Substitution in a sense.Robert Trueman - 2018 - Philosophical Studies 175 (12):3069-3098.
    The Reference Principle states that co-referring expressions are everywhere intersubstitutable salva congruitate. On first glance, looks like a truism, but a truism with some bite: transforms difficult philosophical questions about co-reference into easy grammatical questions about substitutability. This has led a number of philosophers to think that we can use to make short work of certain longstanding metaphysical debates. For example, it has been suggested that all we need to do to show that the predicate ‘ is a horse’ does (...)
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  25.  52
    Substituted judgment, procreative beneficence, and the Ashley treatment.Thomas Douglas - 2015 - Journal of Medical Ethics 41 (9):721-722.
    It is commonly thought that when a patient is unable to make a treatment decision for herself, patient autonomy should be respected by consulting the views of a patient surrogate, normally either the next-of-kin or a person previously designated by the patient. On one view, the task of this surrogate is to make the treatment decision that the patient would have made if competent. But this so-called ‘substituted judgment standard’ (SJS) has come in for has come in for a good (...)
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  26. Sensory Substitution and Augmentation: An Introduction.Fiona Macpherson - 2018 - In Sensory Substitution and Augmentation. Oxford: Proceedings of the British Academy, Oxford University Press.
    It is hoped that modern sensory substitution and augmentation devices will be able to replace or expand our senses. But to what extent has this been achieved to date? To what extent are the experiences created by sensory substitution devices like the sensory experiences that we are trying to replace? To what extent can we augment people’s senses providing them with new information and new experiences? The first aim of this introduction is to delve deeply into this question to discover (...)
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  27.  38
    Clarifying substituted judgement: the endorsed life approach: Table 1.John Phillips & David Wendler - 2015 - Journal of Medical Ethics 41 (9):723-730.
    A primary goal of clinical practice is to respect patient autonomy. To promote this goal for patients who have lost the ability to make their own decisions, commentators recommend that surrogates make their treatment decisions based on the substituted judgment standard. This standard is commonly interpreted as directing surrogates to make the decision the patient would have made in the circumstances, if the patient were competent. However, recent commentators have argued that this approach—attempting to make the decision the patient would (...)
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  28.  69
    Substituted Judgment in Medical Practice: Evidentiary Standards on a Sliding Scale.Mark R. Tonelli - 1997 - Journal of Law, Medicine and Ethics 25 (1):22-29.
    Consensus is growing among ethicists and lawyers that medical decision making for incompetent patients who were previously competent should be made in accordance with that person's prior wishes and desires. Moreover, this legal and ethical preference for the substituted judgment standard has found its way into the daily practice of medicine. However, what appears on the surface to be an agreement between jurists, bioethicists, and clinicians obscures the very real differences between disciplines regarding the actual implementation of the sub stituted (...)
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  29.  19
    Sensory substitution devices and behavioural transference: a commentary on recent work from the lab of Amir Amedi.Derek H. Brown - 2018 - In Fiona Macpherson (ed.), Sensory Substitution and Augmentation. Oxford: Proceedings of the British Academy, Oxford University Press. pp. 122-129.
    Sensory substitution devices (SSDs) are most familiar from their use with subjects who are deficient in a target modality (e.g. congenitally blind subjects), but there is no doubt that the use and potential value of SSDs extend to persons without such deficits. Recent work by Amedi and his team (in particular Levy-Tzedek et al. 2012) has begun to explore this. Their idea is that SSDs may facilitate behavioural transference (BT) across sense modalities. In this case, a motor skill learned through (...)
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  30. Substitution and simple sentences.Jennifer M. Saul - 1997 - Analysis 57 (2):102–108.
  31.  72
    Substitute Decision-Making for Adults with Intellectual Disabilities Living in Residential Care: Learning Through Experience.Michael C. Dunn, Isabel C. H. Clare & Anthony J. Holland - 2008 - Health Care Analysis 16 (1):52-64.
    In the UK, current policies and services for people with mental disorders, including those with intellectual disabilities (ID), presume that these men and women can, do, and should, make decisions for themselves. The new Mental Capacity Act (England and Wales) 2005 (MCA) sets this presumption into statute, and codifies how decisions relating to health and welfare should be made for those adults judged unable to make one or more such decisions autonomously. The MCA uses a procedural checklist to guide this (...)
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  32.  92
    Epsilon substitution for transfinite induction.Henry Towsner - 2005 - Archive for Mathematical Logic 44 (4):397-412.
    We apply Mints’ technique for proving the termination of the epsilon substitution method via cut-elimination to the system of Peano Arithmetic with Transfinite Induction given by Arai.
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  33. Sensory Substitution and the Challenge from Acclimatisation.Paul Noordhof - 2018 - In Fiona Macpherson (ed.), Sensory Substitution and Augmentation. Oxford: Proceedings of the British Academy, Oxford University Press. pp. 73-93.
    A refined characterisation of sensory substitution has, as a consequence, that the substituting sense plus sensory substitution device is not always appropriately classified as the substituted sense. As a result, I argue, acclimatisation to a sensory substitution device is plausibly thought of as providing presentations of properties. Externalist accounts of experience together with objectivist characterisations of such properties have the upshot that properties putatively proprietary to a sense modality can be presented in another modality in cases of substitution. I consider (...)
     
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  34. Substitutional Validity for Modal Logic.Marco Grossi - 2023 - Notre Dame Journal of Formal Logic 64 (3):291-316.
    In the substitutional framework, validity is truth under all substitutions of the nonlogical vocabulary. I develop a theory where □ is interpreted as substitutional validity. I show how to prove soundness and completeness for common modal calculi using this definition.
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  35. Sensory Substitution Conference Full Report.Kevin Connolly, Diana Acosta Navas, Umut Baysan, Janiv Paulsberg & David Suarez - manuscript
    This report highlights and explores five questions that arose from the workshop on sensory substitution and augmentation at the British Academy, March 26th through 28th, 2013.
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  36.  27
    Against Substitutive Harm.Daniel Schwartz - 2015 - Journal of Applied Philosophy 33 (4):411-424.
    Frances Kamm's Principle of Secondary Permissibility specifies a class of exceptions to the general rule not to kill as a means. The principle allows us to harm as a means some of those who would have been otherwise harmed as side effects. ‘For example, suppose it is impermissible to paralyze A's legs as a means to a greater good. It would still be permissible to do this as the alternative to permissibly killing A as a mere indirect side effect.’ I (...)
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  37.  79
    Substitutes for Wisdom: Kant's Practical Thought and the Tradition of the Temperaments.Mark Joseph Larrimore - 2001 - Journal of the History of Philosophy 39 (2):259-288.
    In lieu of an abstract, here is a brief excerpt of the content:Journal of the History of Philosophy 39.2 (2001) 259-288 [Access article in PDF] Substitutes for Wisdom:Kant's Practical Thought and the Tradition of the Temperaments Mark Larrimore [Appendix]For much of Western history, the theory of the four temperaments played a vital part in medicine, anthropology, and moral reflection. The Hippocratic foursome of sanguine, choleric, melancholy, and phlegmatic survives on the margins of modernity, but its role in moral theory and (...)
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  38.  24
    New substitution bases for complexity classes.Stefano Mazzanti - 2020 - Mathematical Logic Quarterly 66 (1):37-50.
    The set, the closure of F, is the closure with respect to substitution and concatenation recursion on notation of a set of basic functions comprehending the set F. By improving earlier work, we show that is the substitution closure of a simple function set and characterize well‐known function complexity classes as the substitution closure of finite sets of simple functions.
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  39.  50
    Epsilon substitution for first- and second-order predicate logic.Grigori Mints - 2013 - Annals of Pure and Applied Logic 164 (6):733-739.
    The epsilon substitution method was proposed by D. Hilbert as a tool for consistency proofs. A version for first order predicate logic had been described and proved to terminate in the monograph “Grundlagen der Mathematik”. As far as the author knows, there have been no attempts to extend this approach to the second order case. We discuss possible directions for and obstacles to such extensions.
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  40. Simple sentences, substitution, and intuitions.Jennifer Mather Saul - 2007 - New York: Oxford University Press.
    Substitution and simple sentences -- Simple sentences and semantics -- Simple sentences and implicatures -- The enlightenment problem and a common assumption -- Abandoning (EOI) -- Beyond matching propositions -- App. A : extending the account -- App. B : belief reporting.
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  41.  45
    Substitutivity.Scott Soames - 1987 - In Judith Jarvis Thomson (ed.), On Being and Saying: Essays for Richard Cartwright. MIT Press. pp. 99-132.
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  42. Substitution by Image: The Very Idea.Jakub Stejskal - 2019 - Journal of Aesthetics and Art Criticism 77 (1):55-66.
    The aim of this article is to provide a plausible conceptual model of a specific use of images described as substitution in recent art-historical literature. I bring to light the largely implicit shared commitments of the art historians’ discussion of substitution, each working as they do in a different idiom, and I draw consequences from these commitments for the concept of substitution by image—the major being the distinction between nonportraying substitution and substitution by portrayal. I then develop an argument that (...)
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  43.  96
    Substitutive, Complementary and Constitutive Cognitive Artifacts: Developing an Interaction-Centered Approach.Marco Fasoli - 2018 - Review of Philosophy and Psychology 9 (3):671-687.
    AbtractTechnologies both new and old provide us with a wide range of cognitive artifacts that change the structure of our cognitive tasks. After a brief analysis of past classifications of these artifacts, I shall elaborate a new way of classifying them developed by focusing on an aspect that has been previously overlooked, namely the possible relationships between these objects and the cognitive processes they involve. Cognitive artifacts are often considered as objects that simply complement our cognitive capabilities, but this “complementary (...)
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  44. About Games and Substitution.Manuel Rebuschi - 2003 - In Jaroslav Peregrin (ed.), Meaning: the dynamic turn. Oxford, UK: Elsevier Science. pp. 241--257.
    Kripke’s substitutional interpretation of quantifiers is usually said to be unsatisfactory for independence-friendly (IF) languages. The purpose of this paper is to question this claim. Two accounts of substitutional semantics for IF sentences will be written down, and the objection of the so-called ‘dummy variables’ will be ruled out. Moreover, it will be argued, against the traditional view, that Game-Theoretical Semantics (GTS) should be conceived of as substitutional. The paper ends with some remarks concerning the reasons why substitution is especially (...)
     
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  45.  55
    Making substituted judgments: an interview study among clinicians.Andreas Schaider, Gian Domenico Borasio, Georg Marckmann & Ralf J. Jox - 2015 - Ethik in der Medizin 27 (2):107-121.
    ZusammenfassungEin Großteil der medizinisch und ethisch schwierigen Therapieentscheidungen betrifft kritisch kranke, einwilligungsunfähige Patienten und wird auf Basis des mutmaßlichen Patientenwillens getroffen. Das Gesetz kann hierzu nur allgemeine Vorgaben geben. Es ist für die behandelnden Ärzte essentiell, sich ein konkretes Vorgehen zu erarbeiten. Wie in der Praxis vorgegangen wird, ist bisher kaum untersucht. Ziel dieser Studie ist es, die Vielfalt der Herangehensweisen und Erfahrungen von Klinikern zum mutmaßlichen Patientenwillen zu erforschen. Wir führten semistrukturierte Interviews mit 18 Ärzten und elf Pflegekräften von (...)
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  46.  75
    Levinas, substitution and transcendental subjectivity.Philip J. Maloney - 1997 - Man and World 30 (1):49-64.
    The task of this paper is to clarify the status and implications of Levinas's insistence on the necessity of subjectivity to the ethical relation. Focusing in particular on the discussion of substitution in Otherwise than Being, it is argued that the description of subjectivity as substitution enables Levinas to articulate the necessity of the subject to the approach of the other in a manner which avoids the transcendental character which such claims to necessity usually embody. This argument proceeds from an (...)
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  47.  28
    Logical Forms, Substitutions and Information Types.Vít Punčochář - 2023 - Logic and Logical Philosophy 32 (3):459--473.
    This paper explores the relation between the philosophical idea that logic is a science studying logical forms, and a mathematical feature of logical systems called the principle of uniform substitution, which is often regarded as a technical counterpart of the philosophical idea. We argue that at least in one interesting sense the principle of uniform substitution does not capture adequately the requirement that logic is a matter of form and that logical truths are formal truths. We show that some specific (...)
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  48.  17
    Substitutability in time allocation.Howard Rachlin, John H. Kagel & Raymond C. Battalio - 1980 - Psychological Review 87 (4):355-374.
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  49. From substitute to supplement: towards a normative reading of Merleau-Ponty’s Schneider case.Sepehr Razavi - 2023 - Philosophical Psychology 1.
    How do philosophers and psychologists receive paradigmatic cases from pathology? More specifically, how are some essential features of ‘normal’ cognitive, affective or perceptual functions derived from these pathological cases? In this paper, I argue that Maurice Merleau-Ponty offers a fecund answer to this question by putting forth a logic of supplementation in pathology that distinguishes the coping behavior of the organic world in contrast to an inorganic one. Supplementation, instead of substitution, marks the world of the living, particularly in its (...)
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  50. Substitution and truth in quantum logic.Itamar Pitowsky - 1982 - Philosophy of Science 49 (3):380-401.
    If p(x 1 ,...,x n ) and q(x 1 ,...,x n ) are two logically equivalent propositions then p(π (x 1 ),...,π (x n )) and q(π (x 1 ),...,π (x n )) are also logically equivalent where π is an arbitrary permutation of the elementary constituents x 1 ,...,x n . In Quantum Logic the invariance of logical equivalences breaks down. It is proved that the distribution rules of classical logic are in fact equivalent to the meta-linguistic rule of (...)
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