Results for 'John Cullinan'

964 found
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  1. Robots, Law and the Retribution Gap.John Danaher - 2016 - Ethics and Information Technology 18 (4):299–309.
    We are living through an era of increased robotisation. Some authors have already begun to explore the impact of this robotisation on legal rules and practice. In doing so, many highlight potential liability gaps that might arise through robot misbehaviour. Although these gaps are interesting and socially significant, they do not exhaust the possible gaps that might be created by increased robotisation. In this article, I make the case for one of those alternative gaps: the retribution gap. This gap arises (...)
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  2. The Threat of Algocracy: Reality, Resistance and Accommodation.John Danaher - 2016 - Philosophy and Technology 29 (3):245-268.
    One of the most noticeable trends in recent years has been the increasing reliance of public decision-making processes on algorithms, i.e. computer-programmed step-by-step instructions for taking a given set of inputs and producing an output. The question raised by this article is whether the rise of such algorithmic governance creates problems for the moral or political legitimacy of our public decision-making processes. Ignoring common concerns with data protection and privacy, it is argued that algorithmic governance does pose a significant threat (...)
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  3. The rise of the robots and the crisis of moral patiency.John Danaher - 2019 - AI and Society 34 (1):129-136.
    This paper adds another argument to the rising tide of panic about robots and AI. The argument is intended to have broad civilization-level significance, but to involve less fanciful speculation about the likely future intelligence of machines than is common among many AI-doomsayers. The argument claims that the rise of the robots will create a crisis of moral patiency. That is to say, it will reduce the ability and willingness of humans to act in the world as responsible moral agents, (...)
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  4. Will Life Be Worth Living in a World Without Work? Technological Unemployment and the Meaning of Life.John Danaher - 2017 - Science and Engineering Ethics 23 (1):41-64.
    Suppose we are about to enter an era of increasing technological unemployment. What implications does this have for society? Two distinct ethical/social issues would seem to arise. The first is one of distributive justice: how will the efficiency gains from automated labour be distributed through society? The second is one of personal fulfillment and meaning: if people no longer have to work, what will they do with their lives? In this article, I set aside the first issue and focus on (...)
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  5. Toward an Ethics of AI Assistants: an Initial Framework.John Danaher - 2018 - Philosophy and Technology 31 (4):629-653.
    Personal AI assistants are now nearly ubiquitous. Every leading smartphone operating system comes with a personal AI assistant that promises to help you with basic cognitive tasks: searching, planning, messaging, scheduling and so on. Usage of such devices is effectively a form of algorithmic outsourcing: getting a smart algorithm to do something on your behalf. Many have expressed concerns about this algorithmic outsourcing. They claim that it is dehumanising, leads to cognitive degeneration, and robs us of our freedom and autonomy. (...)
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  6. The Philosophical Case for Robot Friendship.John Danaher - forthcoming - Journal of Posthuman Studies.
    Friendship is an important part of the good life. While many roboticists are eager to create friend-like robots, many philosophers and ethicists are concerned. They argue that robots cannot really be our friends. Robots can only fake the emotional and behavioural cues we associate with friendship. Consequently, we should resist the drive to create robot friends. In this article, I argue that the philosophical critics are wrong. Using the classic virtue-ideal of friendship, I argue that robots can plausibly be considered (...)
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  7. Robotic Rape and Robotic Child Sexual Abuse: Should They be Criminalised?John Danaher - 2017 - Criminal Law and Philosophy 11 (1):71-95.
    Soon there will be sex robots. The creation of such devices raises a host of social, legal and ethical questions. In this article, I focus in on one of them. What if these sex robots are deliberately designed and used to replicate acts of rape and child sexual abuse? Should the creation and use of such robots be criminalised, even if no person is harmed by the acts performed? I offer an argument for thinking that they should be. The argument (...)
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  8. The Quantified Relationship.John Danaher, Sven Nyholm & Brian D. Earp - 2018 - American Journal of Bioethics 18 (2):3-19.
    The growth of self-tracking and personal surveillance has given rise to the Quantified Self movement. Members of this movement seek to enhance their personal well-being, productivity, and self-actualization through the tracking and gamification of personal data. The technologies that make this possible can also track and gamify aspects of our interpersonal, romantic relationships. Several authors have begun to challenge the ethical and normative implications of this development. In this article, we build upon this work to provide a detailed ethical analysis (...)
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  9. The Symbolic-Consequences Argument in the Sex Robot Debate.John Danaher - 2017 - In John Danaher & Neil McArthur (eds.), Robot Sex: Social and Ethical Implications. MIT Press.
    This chapter examines a common objection to sex robots: the symbolic-consequences argument. According to this argument sex robots are problematic because they symbolise something disturbing about our attitude to sex-related norms such as consent and the status of our sex partners, and because of the potential consequences of this symbolism. After formalising this objection and considering several real-world uses of it, the chapter subjects it to critical scrutiny. It argues that while there are grounds for thinking that sex robots could (...)
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  10. What Are Words? Comments on Kaplan (1990), on Hawthorne and Lepore, and on the Issue.John Hawthorne & Ernie Lepore - 2011 - Journal of Philosophy 108 (9):486-503.
    Under what conditions are two utterances utterances of the same word? What are words? That these questions have not received much attention is rather surprising: after all, philosophers and linguists frequently appeal to considerations about word and sentence identity in connection with a variety of puzzles and problems that are foundational to the very subject matter of philosophy of language and linguistics.1 Kaplan’s attention to words is thus to be applauded. And there is no doubt that his discussion contains many (...)
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  11. What Matters for Moral Status: Behavioral or Cognitive Equivalence?John Danaher - 2021 - Cambridge Quarterly of Healthcare Ethics 30 (3):472-478.
    Henry Shevlin’s paper—“How could we know when a robot was a moral patient?” – argues that we should recognize robots and artificial intelligence (AI) as psychological moral patients if they are cognitively equivalent to other beings that we already recognize as psychological moral patients (i.e., humans and, at least some, animals). In defending this cognitive equivalence strategy, Shevlin draws inspiration from the “behavioral equivalence” strategy that I have defended in previous work but argues that it is flawed in crucial respects. (...)
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  12. Regulating Child Sex Robots: Restriction or Experimentation?John Danaher - 2019 - Medical Law Review 27 (4):553-575.
    In July 2014, the roboticist Ronald Arkin suggested that child sex robots could be used to treat those with paedophilic predilections in the same way that methadone is used to treat heroin addicts. Taking this onboard, it would seem that there is reason to experiment with the regulation of this technology. But most people seem to disagree with this idea, with legal authorities in both the UK and US taking steps to outlaw such devices. In this paper, I subject these (...)
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  13. In Defence of the Epistemological Objection to Divine Command Theory.John Danaher - 2019 - Sophia 58 (3):381-400.
    Divine command theories come in several different forms but at their core all of these theories claim that certain moral statuses exist in virtue of the fact that God has commanded them to exist. Several authors argue that this core version of the DCT is vulnerable to an epistemological objection. According to this objection, DCT is deficient because certain groups of moral agents lack epistemic access to God’s commands. But there is confusion as to the precise nature and significance of (...)
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  14. Enhancements Are A Moral Obligation.John Harris - 2009 - In Nick Bostrom & Julian Savulescu (eds.), Human Enhancement. Oxford University Press.
    Sobre Filosofia clinica e Reflexões sobre o que é o humano.
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  15. The aesthetics of country music.John Dyck - 2021 - Philosophy Compass 16 (5):e12729.
    Country music has not gotten much attention in philosophy. I introduce two philosophical issues that country music raises. First, country music is simple. Some people might think that its simplicity makes country music worse; I argue that simplicity is aesthetically valuable. The second issue is country music’s ideal of authenticity; fans and performers think that country should be real or genuine in a particular way. But country music scholars have debunked the idea that country authenticity gets at anything real; widespread (...)
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  16. Anne Conway's Ontology of Creation: A Pluralist Interpretation.John Grey - 2024 - Journal of the American Philosophical Association 10 (2):333-348.
    Does Anne Conway (1631–79) hold that the created world consists of a single underlying substance? Some have argued that she does; others have argued that she is a priority monist and so holds that there are many created substances, but the whole created world is ontologically prior to each particular creature. Against both of these proposals, this article makes the case for a substance pluralist interpretation of Conway: individual creatures are distinct substances, and the whole created world is not ontologically (...)
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  17. Argumentations and Logic.John Corcoran - 1989 - ARGUMENTAION 3 (1):17-43.
    Argumentations are at the heart of the deductive and the hypothetico-deductive methods, which are involved in attempts to reduce currently open problems to problems already solved. These two methods span the entire spectrum of problem-oriented reasoning from the simplest and most practical to the most complex and most theoretical, thereby uniting all objective thought whether ancient or contemporary, whether humanistic or scientific, whether normative or descriptive, whether concrete or abstract. Analysis, synthesis, evaluation, and function of argumentations are described. Perennial philosophic (...)
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  18. Reasons, Evidence, and Explanations.John Brunero - 2018 - In Daniel Star (ed.), The Oxford Handbook of Reasons and Normativity. New York, NY, United States of America: Oxford University Press. pp. 321-341.
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  19. Categoricity.John Corcoran - 1980 - History and Philosophy of Logic 1 (1):187-207.
    After a short preface, the first of the three sections of this paper is devoted to historical and philosophic aspects of categoricity. The second section is a self-contained exposition, including detailed definitions, of a proof that every mathematical system whose domain is the closure of its set of distinguished individuals under its distinguished functions is categorically characterized by its induction principle together with its true atoms (atomic sentences and negations of atomic sentences). The third section deals with applications especially those (...)
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  20. Hyperagency and the Good Life – Does Extreme Enhancement Threaten Meaning?John Danaher - 2013 - Neuroethics 7 (2):227-242.
    According to several authors, the enhancement project incorporates a quest for hyperagency - i.e. a state of affairs in which virtually every constitutive aspect of agency (beliefs, desires, moods, dispositions and so forth) is subject to our control and manipulation. This quest, it is claimed, undermines the conditions for a meaningful and worthwhile life. Thus, the enhancement project ought to be forestalled or rejected. How credible is this objection? In this article, I argue: “not very”. I do so by evaluating (...)
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  21. Recent Work on Internal and External Reasons.John Brunero - 2017 - American Philosophical Quarterly 54 (2):99-118.
    This paper examines some recent arguments for internalism that (i) appeal to an analogy between practical and theoretical reasons, (ii) look toward our practices of reasoning with others, or (iii) tie reasons to good deliberation. The conclusion of this paper is a skeptical one: none of these new arguments gives us sufficient reason to think that internalism is true.
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  22. An evaluative conservative case for biomedical enhancement.John Danaher - 2016 - Journal of Medical Ethics 42 (9):611-618.
    It is widely believed that a conservative moral outlook is opposed to biomedical forms of human enhancement. In this paper, I argue that this widespread belief is incorrect. Using Cohen’s evaluative conservatism as my starting point, I argue that there are strong conservative reasons to prioritise the development of biomedical enhancements. In particular, I suggest that biomedical enhancement may be essential if we are to maintain our current evaluative equilibrium (i.e. the set of values that undergird and permeate our current (...)
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  23. (1 other version)The Unique Groundability of Temporal Facts.John Cusbert & Kristie Millier - 2017 - Philosophy and Phenomenological Research 94 (1).
    The A-theory and the B-theory advance competing claims about how time is grounded. The A-theory says that A-facts are more fundamental in grounding time than are B-facts, and the B-theory says the reverse. We argue that whichever theory is true of the actual world is also true of all possible worlds containing time. We do this by arguing that time is uniquely groundable: however time is actually grounded, it is necessarily grounded in that way. It follows that if either the (...)
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  24. Should we be thinking about sex robots?John Danaher - 2017 - In John Danaher & Neil McArthur (eds.), Robot Sex: Social and Ethical Implications. MIT Press.
    The chapter introduces the edited collection Robot Sex: Social and Ethical Implications. It proposes a definition of the term 'sex robot' and examines some current prototype models. It also considers the three main ethical questions one can ask about sex robots: (i) do they benefit/harm the user? (ii) do they benefit/harm society? or (iii) do they benefit/harm the robot?
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  25. INFORMATION-THEORETIC LOGIC.John Corcoran - 1998 - In C. Martínez U. Rivas & L. Villegas-Forero (eds.), Truth in Perspective edited by C. Martínez, U. Rivas, L. Villegas-Forero, Ashgate Publishing Limited, Aldershot, England (1998) 113-135. ASHGATE. pp. 113-135.
    Information-theoretic approaches to formal logic analyse the "common intuitive" concept of propositional implication (or argumental validity) in terms of information content of propositions and sets of propositions: one given proposition implies a second if the former contains all of the information contained by the latter; an argument is valid if the conclusion contains no information beyond that of the premise-set. This paper locates information-theoretic approaches historically, philosophically and pragmatically. Advantages and disadvantages are identified by examining such approaches in themselves and (...)
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  26. A Mathematical Model of Aristotle’s Syllogistic.John Corcoran - 1973 - Archiv für Geschichte der Philosophie 55 (2):191-219.
    In the present article we attempt to show that Aristotle's syllogistic is an underlying logiC which includes a natural deductive system and that it isn't an axiomatic theory as had previously been thought. We construct a mathematical model which reflects certain structural aspects of Aristotle's logic. We examine the relation of the model to the system of logic envisaged in scattered parts of Prior and Posterior Analytics. Our interpretation restores Aristotle's reputation as a logician of consummate imagination and skill. Several (...)
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  27. Why AI Doomsayers are Like Sceptical Theists and Why it Matters.John Danaher - 2015 - Minds and Machines 25 (3):231-246.
    An advanced artificial intelligence could pose a significant existential risk to humanity. Several research institutes have been set-up to address those risks. And there is an increasing number of academic publications analysing and evaluating their seriousness. Nick Bostrom’s superintelligence: paths, dangers, strategies represents the apotheosis of this trend. In this article, I argue that in defending the credibility of AI risk, Bostrom makes an epistemic move that is analogous to one made by so-called sceptical theists in the debate about the (...)
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  28. Truth in the Emendation.John Morrison - 2015 - In Yitzhak Y. Melamed (ed.), The Young Spinoza: A Metaphysician in the Making. New York: Oxford University Press. pp. 67–91.
    Spinoza’s claims about true ideas are central to the Treatise on the Emendation of the Intellect. It is therefore worth trying to reconstruct what he means when he says that an idea is true. I argue that the three leading interpretations – correspondence, coherence, and causal – don’t explain key passages. I then propose a new interpretation. Roughly, I propose that an idea is true if and only if it represents an essence and was derived in the right kind of (...)
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  29. Gruesome Freedom: The Moral Limits of Non-Constraint.John Lawless - 2018 - Philosophers' Imprint 18.
    Many philosophers conceive of freedom as non-interference. Such conceptions unify two core commitments. First, they associate freedom with non-constraint. And second, they take seriously a distinction between the interpersonal and the non-personal. As a result, they focus our attention exclusively on constraints attributable to other people’s choices – that is, on interference. I argue that these commitments manifest two distinct concerns: first, for a wide range of options; and second, for other people’s respect. However, construing freedom as non-interference unifies these (...)
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  30. Why Internal Moral Enhancement Might Be politically Better than External Moral Enhancement.John Danaher - 2016 - Neuroethics 12 (1):39-54.
    Technology could be used to improve morality but it could do so in different ways. Some technologies could augment and enhance moral behaviour externally by using external cues and signals to push and pull us towards morally appropriate behaviours. Other technologies could enhance moral behaviour internally by directly altering the way in which the brain captures and processes morally salient information or initiates moral action. The question is whether there is any reason to prefer one method over the other? In (...)
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  31. (1 other version)Moral Enhancement and Moral Freedom: A Critique of the Little Alex Problem.John Danaher - 2018 - Royal Institute of Philosophy Supplement 83:233-250.
    A common objection to moral enhancement is that it would undermine our moral freedom and that this is a bad thing because moral freedom is a great good. Michael Hauskeller has defended this view on a couple of occasions using an arresting thought experiment called the 'Little Alex' problem. In this paper, I reconstruct the argument Hauskeller derives from this thought experiment and subject it to critical scrutiny. I claim that the argument ultimately fails because (a) it assumes that moral (...)
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  32. Cause, "Cause", and Norm.John Schwenkler & Eric Sievers - 2022 - In Pascale Willemsen & Alex Wiegmann (eds.), Advances in Experimental Philosophy of Causation. Bloomsbury Publishing. pp. 123-144.
    This chapter presents a series of experiments that elicit causal judgments using statements that do not include the verb "to cause". In particular, our interest is in exploring the extent to which previously observed effects of normative considerations on agreement with what we call "cause"-statements, i.e. those of the form "X caused ..." extend as well to those of the form "X V-ed Y", where V is a lexical causative. Our principal finding is that in many cases the effects do (...)
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  33. Cognitivism about Practical Rationality.John Brunero - 2014 - Oxford Studies in Metaethics 9:18-44.
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  34. Why We Should Create Artificial Offspring: Meaning and the Collective Afterlife.John Danaher - 2018 - Science and Engineering Ethics 24 (4):1097-1118.
    This article argues that the creation of artificial offspring could make our lives more meaningful. By ‘artificial offspring’ I mean beings that we construct, with a mix of human and non-human-like qualities. Robotic artificial intelligences are paradigmatic examples of the form. There are two reasons for thinking that the creation of such beings could make our lives more meaningful and valuable. The first is that the existence of a collective afterlife—i.e. a set of human-like lives that continue after we die—is (...)
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  35. Two puzzles about Thought and Identity in Spinoza.John Morrison - 2017 - In Yitzhak Y. Melamed (ed.), Cambridge Critical Guide to Spinoza’s Ethics. United Kingdom: Cambridge University Press. pp. 56–81.
    I suggest a solution to two puzzles in Spinoza's metaphysics. The first puzzle involves the mind and the idea of the mind, in particular how they can be identical, even though the mind thinks about bodies and nothing else, whereas the idea of the mind thinks about ideas and nothing else. The second puzzle involves the mind and the idea of a thing that belongs to an unknown attribute, in particular how they can be identical, even though the mind thinks (...)
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  36. A framework of spirituality for the future of naturalism.John Calvin Chatlos - 2021 - Zygon 56 (2):308-334.
    William James wrote that the life of religion “consists of the belief that there is an unseen order, and that our supreme good lies in harmoniously adjusting ourselves thereto.” Naturalism organizes our experiences of the universe within a science-grounded philosophical and/or religious framework aligning it with what is supremely good for our lives. This article describes a science-grounded specific “Framework of Spirituality” identifying part of this unseen order that opens a “spiritual core” within persons as a source of healing and (...)
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  37. Set-theoretic justification and the theoretical virtues.John Heron - 2020 - Synthese 199 (1-2):1245-1267.
    Recent discussions of how axioms are extrinsically justified have appealed to abductive considerations: on such accounts, axioms are adopted on the basis that they constitute the best explanation of some mathematical data, or phenomena. In the first part of this paper, I set out a potential problem caused by the appeal made to the notion of mathematical explanation and suggest that it can be remedied once it is noted that all the justificatory work is done by appeal to the theoretical (...)
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  38. (1 other version)The Absence of Multiple Universes of Discourse in the 1936 Tarski Consequence-Definition Paper.John Corcoran & José Miguel Sagüillo - 2011 - History and Philosophy of Logic 32 (4):359-374.
    This paper discusses the history of the confusion and controversies over whether the definition of consequence presented in the 11-page 1936 Tarski consequence-definition paper is based on a monistic fixed-universe framework?like Begriffsschrift and Principia Mathematica. Monistic fixed-universe frameworks, common in pre-WWII logic, keep the range of the individual variables fixed as the class of all individuals. The contrary alternative is that the definition is predicated on a pluralistic multiple-universe framework?like the 1931 Gödel incompleteness paper. A pluralistic multiple-universe framework recognizes multiple (...)
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  39. God and Christianity According To Swinburne.John Hick - 2010 - European Journal for Philosophy of Religion 2 (1):25 - 37.
    In this paper I discuss critically Richard Swinburne’s concept of God, which I find to be incoherent, and his understanding of Christianity, which I find to be based on a precritical use of the New Testament.
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  40. Skeptical Theism and Divine Permission - A Reply to Anderson.John Danaher - 2014 - International Journal for Philosophy of Religion 75 (2):101-118.
    Skeptical theism (ST) may undercut the key inference in the evidential argument from evil, but it does so at a cost. If ST is true, then we lose our ability to assess the all things considered (ATC) value of natural events and states of affairs. And if we lose that ability, a whole slew of undesirable consequences follow. So goes a common consequential critique of ST. In a recent article, Anderson has argued that this consequential critique is flawed. Anderson claims (...)
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  41. Species and the Good in Anne Conway's Metaethics.John R. T. Grey - 2019 - In Colin Marshall (ed.), Comparative Metaethics: Neglected Perspectives on the Foundations of Morality. London: Routledge. pp. 102-118.
    Anne Conway rejects the view that creatures are essentially members of any natural kind more specific than the kind 'creature'. That is, she rejects essentialism about species membership. This chapter provides an analysis of one of Anne Conway's arguments against such essentialism, which (as I argue) is drawn from metaethical rather than metaphysical premises. In her view, if a creature's species or kind were inscribed in its essence, that essence would constitute a limit on the creature's potential to participate in (...)
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  42. Human Enhancement, Social Solidarity and the Distribution of Responsibility.John Danaher - 2016 - Ethical Theory and Moral Practice 19 (2):359-378.
    This paper tries to clarify, strengthen and respond to two prominent objections to the development and use of human enhancement technologies. Both objections express concerns about the link between enhancement and the drive for hyperagency. The first derives from the work of Sandel and Hauskeller—and is concerned with the negative impact of hyperagency on social solidarity. In responding to their objection, I argue that although social solidarity is valuable, there is a danger in overestimating its value and in neglecting some (...)
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  43. Existential Import Today: New Metatheorems; Historical, Philosophical, and Pedagogical Misconceptions.John Corcoran & Hassan Masoud - 2015 - History and Philosophy of Logic 36 (1):39-61.
    Contrary to common misconceptions, today's logic is not devoid of existential import: the universalized conditional ∀ x [S→ P] implies its corresponding existentialized conjunction ∃ x [S & P], not in all cases, but in some. We characterize the proexamples by proving the Existential-Import Equivalence: The antecedent S of the universalized conditional alone determines whether the universalized conditional has existential import, i.e. whether it implies its corresponding existentialized conjunction.A predicate is an open formula having only x free. An existential-import predicate (...)
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  44. The Contemporary Relevance of Ancient Logical Theory.John Corcoran - 1982 - Philosophical Quarterly 32 (126):76.
    This interesting and imaginative monograph is based on the author’s PhD dissertation supervised by Saul Kripke. It is dedicated to Timothy Smiley, whose interpretation of PRIOR ANALYTICS informs its approach. As suggested by its title, this short work demonstrates conclusively that Aristotle’s syllogistic is a suitable vehicle for fruitful discussion of contemporary issues in logical theory. Aristotle’s syllogistic is represented by Corcoran’s 1972 reconstruction. The review studies Lear’s treatment of Aristotle’s logic, his appreciation of the Corcoran-Smiley paradigm, and his understanding (...)
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  45. On the Need for Epistemic Enhancement.John Danaher - 2013 - Law, Innovation and Technology 5 (1):85-112.
    Klaming and Vedder (2010) have argued that enhancement technologies that improve the epistemic efficiency of the legal system (“epistemic enhancements”) would benefit the common good. But there are two flaws to Klaming and Vedder’s argument. First, they rely on an under-theorised and under-specified conception of the common good. When theory and specification are supplied, their CGJ for enhancing eyewitness memory and recall becomes significantly less persuasive. And second, although aware of such problems, they fail to give due weight and consideration (...)
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  46. Stumbling on the Threshold: A Reply to Gwiazda on Threshold Obligations.John Danaher - 2012 - Religious Studies 48 (4):469-478.
    Bayne and Nagasawa have argued that the properties traditionally attributed to God provide an insufficient grounding for the obligation to worship God. They do so partly because the same properties, when possessed in lesser quantities by human beings, do not give rise to similar obligations. In a recent paper, Jeremy Gwiazda challenges this line of argument. He does so because it neglects the possible existence of a threshold obligation to worship, i.e. an obligation that only kicks in when the value (...)
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  47. Sex Work, Technological Unemployment and the Basic Income Guarantee.John Danaher - 2014 - Journal of Evolution and Technology 24 (1):113-130.
    Is sex work (specifically, prostitution) vulnerable to technological unemployment? Several authors have argued that it is. They claim that the advent of sophisticated sexual robots will lead to the displacement of human prostitutes, just as, say, the advent of sophisticated manufacturing robots have displaced many traditional forms of factory labour. But are they right? In this article, I critically assess the argument that has been made in favour of this displacement hypothesis. Although I grant the argument a degree of credibility, (...)
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  48. Negativity Bounds for Weyl–Heisenberg Quasiprobability Representations.John B. DeBrota & Christopher A. Fuchs - 2017 - Foundations of Physics 47 (8):1009-1030.
    The appearance of negative terms in quasiprobability representations of quantum theory is known to be inevitable, and, due to its equivalence with the onset of contextuality, of central interest in quantum computation and information. Until recently, however, nothing has been known about how much negativity is necessary in a quasiprobability representation. Zhu :120404, 2016) proved that the upper and lower bounds with respect to one type of negativity measure are saturated by quasiprobability representations which are in one-to-one correspondence with the (...)
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  49. Second-order Logic.John Corcoran - 2001 - In C. Anthony Anderson & Michael Zelëny (eds.), Logic, meaning, and computation: essays in memory of Alonzo Church. Boston: Kluwer Academic Publishers. pp. 61–76.
    “Second-order Logic” in Anderson, C.A. and Zeleny, M., Eds. Logic, Meaning, and Computation: Essays in Memory of Alonzo Church. Dordrecht: Kluwer, 2001. Pp. 61–76. -/- Abstract. This expository article focuses on the fundamental differences between second- order logic and first-order logic. It is written entirely in ordinary English without logical symbols. It employs second-order propositions and second-order reasoning in a natural way to illustrate the fact that second-order logic is actually a familiar part of our traditional intuitive logical framework and (...)
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  50. Sentence, Proposition, Judgment, Statement, and Fact: Speaking about the Written English Used in Logic.John Corcoran - 2009 - In W. A. Carnielli (ed.), The Many Sides of Logic. College Publications. pp. 71-103.
    The five English words—sentence, proposition, judgment, statement, and fact—are central to coherent discussion in logic. However, each is ambiguous in that logicians use each with multiple normal meanings. Several of their meanings are vague in the sense of admitting borderline cases. In the course of displaying and describing the phenomena discussed using these words, this paper juxtaposes, distinguishes, and analyzes several senses of these and related words, focusing on a constellation of recommended senses. One of the purposes of this paper (...)
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