Results for 'Second-order value'

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  1. COMMENTARY: “Second-Order Predication and the Metaphysics of Properties” by Andrew Egan.Peter Alward - unknown
    Egan argues against Lewis’s view that properties are sets of actual and possible individuals and in favour of the view that they are functions from worlds to extensions (sets of individuals). Egan argues that Lewis’s view implies that 2nd order properties are never possessed contingently by their (1st order) bearers, an implication to which there are numerous counter-examples. And Egan argues that his account of properties is more commensurable with the role they play as the semantic values of (...)
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  2. Second Order Science: Putting the Metaphysics Back Into the Practice of Science.Michael Lissack -
    The traditional sciences have always had trouble with ambiguity. Through the imposition of “enabling constraints” -- making a set of assumptions and then declaring ceteris paribus -- science can bracket away ambiguity. These enabling constraints take the form of uncritically examined presuppositions or “uceps.” Second order science examines variations in values assumed for these uceps and looks at the resulting impacts on related scientific claims. After rendering explicit the role of uceps in scientific claims, the scientific method is (...)
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  3. Extensionalizing Intensional Second-Order Logic.Jonathan Payne - 2015 - Notre Dame Journal of Formal Logic 56 (1):243-261.
    Neo-Fregean approaches to set theory, following Frege, have it that sets are the extensions of concepts, where concepts are the values of second-order variables. The idea is that, given a second-order entity $X$, there may be an object $\varepsilon X$, which is the extension of X. Other writers have also claimed a similar relationship between second-order logic and set theory, where sets arise from pluralities. This paper considers two interpretations of second-order logic—as (...)
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  4. Too resilient for anyone’s good: ‘infant psychophysics’ viewed through second-order cybernetics, Part 1 (Background and Problems).Lance Nizami - 2019 - Kybernetes 48.
    Purpose – This study aims to examine the observer’s role in “infant psychophysics”. Infant psychophysics was developed because the diagnosis of perceptual deficits should be done as early in a patient’s life as possible, to provide efficacious treatment and thereby reduce potential long-term costs. Infants, however, cannot report their perceptions. Hence, the intensity of a stimulus at which the infant can detect it, the “threshold”, must be inferred from the infant’s behavior, as judged by observers (watchers). But whose abilities are (...)
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  5. Too resilient for anyone’s good: ‘infant psychophysics’ viewed through second-order cybernetics, Part 2 (Re-Interpretation).Lance Nizami - 2019 - Kybernetes 48.
    Purpose – This paper aims to extend the companion paper on “infant psychophysics”, which concentrated on the role of in-lab observers (watchers). Infants cannot report their own perceptions, so for five decades their detection thresholds for sensory stimuli were inferred from their stimulus-evoked behavior, judged by watchers. The inferred thresholds were revealed to inevitably be those of the watcher–infant duo, and, more broadly, the entire Laboratory. Such thresholds are unlikely to represent the finest stimuli that the infant can detect. What, (...)
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  6. Mapping Value Sensitive Design onto AI for Social Good Principles.Steven Umbrello & Ibo van de Poel - 2021 - AI and Ethics 1 (3):283–296.
    Value Sensitive Design (VSD) is an established method for integrating values into technical design. It has been applied to different technologies and, more recently, to artificial intelligence (AI). We argue that AI poses a number of challenges specific to VSD that require a somewhat modified VSD approach. Machine learning (ML), in particular, poses two challenges. First, humans may not understand how an AI system learns certain things. This requires paying attention to values such as transparency, explicability, and accountability. (...), ML may lead to AI systems adapting in ways that ‘disembody’ the values embedded in them. To address this, we propose a threefold modified VSD approach: 1) integrating a known set of VSD principles (AI4SG) as design norms from which more specific design requirements can be derived; 2) distinguishing between values that are promoted and respected by the design to ensure outcomes that not only do no harm but also contribute to good; and 3) extending the VSD process to encompass the whole life cycle of an AI technology in order to monitor unintended value consequences and redesign as needed. We illustrate our VSD for AI approach with an example use case of a SARS-CoV-2 contact tracing app. (shrink)
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  7. Triangular Acceleration Methods of Second Kind for Improving the Values of Integrals Numerically.Ali Hassan Mohammed & Shatha Hadier Theyab - 2019 - International Journal of Engineering and Information Systems (IJEAIS) 3 (4):45-60.
    Abstract: The aims of this study are to introduce acceleration methods that are called triangular acceleration methods, which come within the series of several acceleration methods that generally known as Al-Tememe's acceleration methods of the second kind which are discovered by (Ali Hassan Mohammed). These methods are useful in improving the results of determining numerical integrals of continuous integrands where the main error is of the forth order with respect to accuracy, partial intervals and the fasting of calculating (...)
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  8. Modelling Culinary Value.Patrik Engisch - 2022 - Journal of Aesthetics and Art Criticism (2):1-12.
    Culinary products have culinary value. That is, they have value qua culinary products. However, what is the nature of culinary value and what elements determine it? In the light of the central and universal role that culinary products play in our lives, offering a philosophical analysis of culinary value is a matter of interest. This paper attempts to do just this. It develops three different possible models of culinary value, two rather restricted ones and a (...)
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  9. Relative and Logarthmic of AI-Tememe Acceleration Methods for Improving the Values of Integrations Numerically of Second Kind.Ali Hassan Mohammed & Shatha Hadier Theyab - 2019 - International Journal of Engineering and Information Systems (IJEAIS) 3 (5):1-9.
    Abstract: The aims of this study are to introduce acceleration methods that called relative and algorithmic acceleration methods, which we generally call Al-Tememe's acceleration methods of the second kind discovered by (Ali Hassan Mohammed). It is very useful to improve the numerical results of continuous integrands in which the main error is of the 4th order, and related to accuracy, the number of used partial intervals and how fast to get results especially to accelerate the results got by (...)
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  10. The value of up-hill skiing.Ignace Haaz - 2022 - In Ignace Haaz & Amélé Adamavi-Aho Ekué (eds.), Walking with the Earth: Intercultural Perspectives on Ethics of Ecological Caring. Geneva, Switzerland: Globethics Publications. pp. 181-222.
    The value of up-hill skiing is double, it is first a sport and artistic expression, second it incorporates functional dependencies related to the natural obstacles which the individual aims to overcome. On the artistic side, M. Dufrenne shows the importance of living movement in dance, and we can compare puppets with dancers in order to grasp the lack of intentional spiritual qualities in the former. The expressivity of dance, as for, Chi Gong, ice skating or ski mountaineering (...)
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  11. Futures of Value and the Destruction of Human Embryos.Rob Lovering - 2009 - Canadian Journal of Philosophy 39 (3):pp. 463-88.
    Many people are strongly opposed to the intentional destruction of human embryos, whether it be for purposes scientific, reproductive, or other. And it is not uncommon for such people to argue against the destruction of human embryos by invoking the claim that the destruction of human embryos is morally on par with killing the following humans: (A) the standard infant, (B) the suicidal teenager, (C) the temporarily comatose individual, and (D) the standard adult. I argue here that this claim is (...)
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  12. Second-order Logic.John Corcoran - 2001 - In Alonzo Church, 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 (...)
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  13. Science, institutions, and values.C. Mantzavinos - 2020 - European Journal of Philosophy 29 (2):379-392.
    This paper articulates and defends three interconnected claims: first, that the debate on the role of values for science misses a crucial dimension, the institutional one; second, that institutions occupy the intermediate level between scientific activities and values and that they are to be systematically integrated into the analysis; third, that the appraisal of the institutions of science with respect to values should be undertaken within the premises of a comparative approach rather than an ideal approach. Hence, I defend (...)
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  14. On the value of faith and faithfulness.Daniel J. McKaughan - 2017 - International Journal for Philosophy of Religion 81 (1-2):7-29.
    There was a time when Greco-Roman culture recognized faith as an indispensable social good. More recently, however, the value of faith has been called into question, particularly in connection with religious commitment. What, if anything, is valuable about faith—in the context of ordinary human relations or as a distinctive stance people might take in relation to God? I approach this question by examining the role that faith talk played both in ancient Jewish and Christian communities and in the larger (...)
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  15. “Spinoza on the Value of Humanity”.Yitzhak Melamed - 2023 - In Nandi Theunissen (ed.), Re-Evaluating the Value of Humanity. New York: Oxford University Press. pp. 74-96.
    Spinoza is a hardcore realist about the nature of human beings and their desires, ambitions, and delusions. But he is neither a misanthrope nor in the business of glorifying the notion of a primal and innocent non-human nature. As he writes: Let the Satirists laugh as much as they like at human affairs, let the Theologians curse them, let Melancholics praise as much as they can a life that is uncultivated and wild, let them disdain men and admire the lower (...)
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  16. Second-Order Science of Interdisciplinary Research: A Polyocular Framework for Wicked Problems.Hugo F. Alrøe & E. Noe - 2014 - Constructivist Foundations 10 (1):65-76.
    Context: The problems that are most in need of interdisciplinary collaboration are “wicked problems,” such as food crises, climate change mitigation, and sustainable development, with many relevant aspects, disagreement on what the problem is, and contradicting solutions. Such complex problems both require and challenge interdisciplinarity. Problem: The conventional methods of interdisciplinary research fall short in the case of wicked problems because they remain first-order science. Our aim is to present workable methods and research designs for doing second-order (...)
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  17. What is the Value of Geometric Models to Understand Matter?Francoise Monnoyeur (ed.) - 2015 - palermo italy: review of Ontology.
    This article analyzes the value of geometric models to understand matter with the examples of the Platonic model for the primary four elements (fire, air, water, and earth) and the models of carbon atomic structures in the new science of crystallography. How the geometry of these models is built in order to discover the properties of matter is explained: movement and stability for the primary elements, and hardness, softness and elasticity for the carbon atoms. These geometric models appear (...)
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  18. Against SecondOrder Reasons.Daniel Whiting - 2017 - Noûs 51 (2):398-420.
    A normative reason for a person to? is a consideration which favours?ing. A motivating reason is a reason for which or on the basis of which a person?s. This paper explores a connection between normative and motivating reasons. More specifically, it explores the idea that there are second-order normative reasons to? for or on the basis of certain first-order normative reasons. In this paper, I challenge the view that there are second-order reasons so understood. I (...)
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  19. The Real Value of Equality.Robert Jubb - 2015 - Journal of Politics 77 (3):679-691.
    This paper investigates how political theorists and philosophers should understand egalitarian political demands in light of the increasingly important realist critique of much of contemporary political theory and philosophy. It suggests, first, that what Martin O'Neill has called non-intrinsic egalitarianism is, in one form at least, a potentially realistic egalitarian political project and second, that realists may be compelled to impose an egalitarian threshold on state claims to legitimacy under certain circumstances. Non-intrinsic egalitarianism can meet realism’s methodological requirements because (...)
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  20. Against Second-Order Primitivism.Bryan Pickel - 2024 - In Peter Fritz & Nicholas K. Jones (eds.), Higher-Order Metaphysics. Oxford University Press.
    In the language of second-order logic, first- and second-order variables are distinguished syntactically and cannot be grammatically substituted. According to a prominent argument for the deployment of these languages, these substitution failures are necessary to block the derivation of paradoxes that result from attempts to generalize over predicate interpretations. I first examine previous approaches which interpret second-order sentences using expressions of natural language and argue that these approaches undermine these syntactic restrictions. I then examine (...)
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  21. Understanding with epistemic possibilities: The epistemic aim and value of metaphysics.Ylwa Sjölin Wirling - forthcoming - Argumenta.
    According to a recent proposal, the epistemic aim of metaphysics as a discipline is to chart the different viable theories of metaphysical objects of inquiry (e.g. causation, persistence). This paper elaborates on and seeks to improve on that proposal in two related ways. First, drawing on an analogy with how-possibly explanation in science, I argue that we can usefully understand this aim of metaphysics as the charting of epistemically possible answers to metaphysical questions. Second, I argue that in (...) to account for the epistemic goodness of this aim, one should appeal to the epistemic value it has in virtue of providing resources for non-factive understanding of the objects of metaphysical inquiry.**This paper is forthcoming in a special issue of Argumenta on the Epistemology of Metaphysics**. (shrink)
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  22. Military Ethics and Strategy: Senior Commanders, Moral Values and Cultural Perspectives.Shannon Brandt Ford - 2015 - In Routledge Handbook on Military Ethics. Routledge.
    In this chapter, I explore the importance of ethics education for senior military officers with responsibilities at the strategic level of government. One problem, as I see it, is that senior commanders might demand “ethics” from their soldiers but then they are themselves primarily informed by a “morally skeptical viewpoint” (in the form of political realism). I argue that ethics are more than a matter of personal behavior alone: the ethical position of an armed service is a matter of the (...)
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  23. Meaning as a Distinct and Fundamental Value: Reply to Kershnar.Thaddeus Metz - 2014 - Science, Religion and Culture 1 (2):101-106.
    In this article, I reply to a critical notice of my book, Meaning in Life: An Analytic Study, that Stephen Kershnar has published elsewhere in this issue of Science, Religion & Culture. Beyond expounding the central conclusions of the book, Kershnar advances two major criticisms of it, namely, first, that I did not provide enough evidence that meaning in life is a genuine value-theoretic category as something distinct from and competing with, say, objective well-being, and, second, that, even (...)
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  24. Second-Order Science: A Vast and Largely Unexplored Science Frontier.K. H. Müller & A. Riegler - 2014 - Constructivist Foundations 10 (1):7-15.
    Context: Many recent research areas such as human cognition and quantum physics call the observer-independence of traditional science into question. Also, there is a growing need for self-reflexivity in science, i.e., a science that reflects on its own outcomes and products. Problem: We introduce the concept of second-order science that is based on the operation of re-entry. Our goal is to provide an overview of this largely unexplored science domain and of potential approaches in second-order fields. (...)
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  25. Second Order Inductive Logic and Wilmers' Principle.M. S. Kliess & J. B. Paris - 2014 - Journal of Applied Logic 12 (4):462-476.
    We extend the framework of Inductive Logic to Second Order languages and introduce Wilmers' Principle, a rational principle for probability functions on Second Order languages. We derive a representation theorem for functions satisfying this principle and investigate its relationship to the first order principles of Regularity and Super Regularity.
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  26. Second Order Decriptions and General Term Rigidity.Ezequiel Zerbudis - 2013 - Critica 45 (135):3-27.
    examine Nathan Salmon’s solution to the problem of trivialization, as it arises for conceptions of general term rigidity that construe it as identity of designation across possible worlds. I argue that he does not succeed in showing that some alleged general terms, such as “the colour of the sky” are non-rigid, but also that a small class of different examples that he presents, which can be construed as second order descriptions, are indeed non-rigid general terms, although for reasons (...)
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  27. Di er ci Qimeng 第二次启蒙 (The second Enlightenment) by Wang Zhihe 王治河 and Fan Meijun 樊美筠 (review).Robin R. Wang - 2013 - Philosophy East and West 63 (3):449-450.
    Di er ci Qimeng (The second Enlightenment), by Wang Zhihe and Fan Meijun, is a timely book in Chinese about constructing a philosophical and practical way to contend with China's postmodernization. It combines Whitehead's process philosophy with a focus on Chinese modernity in order to map out a desirable postmodern society. It addresses the problem on several dimensions from policy making to basic value systems. The range of themes can be seen from the topics of the book's (...)
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  28. “The Obvious Invisibility of the Relationship between Technology and Social Values.”.Jamie P. Ross - 2010 - International Journal of Science in Society, Vol. 2, No.1, P. 51-62, CG Publisher. 2010 2 (1):51-62.
    Abstract -/- “The Obvious Invisibility of the Relationship Between Technology and Social Values” -/- We all too often assume that technology is the product of objective scientific research. And, we assume that technology’s moral value lies in only the moral character of its user. Yet, in order to objectify technology in a manner that removes it from a moral realm, we rely on the assumption that technology is value neutral, i.e., it is independent of all contexts other (...)
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  29. Free Will Ruled by Reason: Pufendorf on Moral Value and Moral Estimation.Katerina Mihaylova - 2022 - Intellectual History Review 32 (1):71-87.
    Pufendorf makes a clear distinction between the physical constitution of human beings and their value as human beings, stressing that the latter is justified exclusively by the regular use of the free will. According to Pufendorf, the regular use of free will requires certain inventions (divine as well as human) imposed on the free will and called moral entities. He claims that these inventions determine the moral quality of a human being as well as the standards according to which (...)
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  30. Second order properties: Why Kim's reduction does not work.Simone Gozzano - 2003 - Logic and Philosophy of Science 1 (1):1-15.
    The paper sets forth an argument against Kim's distinction between levels and orders.
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  31. Second-Order Science and Policy.Anthony Hodgson & Graham Leicester - 2017 - World Futures 73 (3):119-178.
    In March 2016, an interdisciplinary group met for two days and two evenings to explore the implications for policy making of second-order science. The event was sponsored by SITRA, the Finnish Parliament's Innovation Fund. Their interest arose from their concern that the well-established ways, including evidence-based approaches, of policy and decision making used in government were increasingly falling short of the complexity, uncertainty, and urgency of needed decision making. There was no assumption that second-order science or (...)
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  32. Reliability of Motivation and the Moral Value of Actions.Paula Satne - 2013 - Studia Kantiana 14:5-33.
    Kant famously made a distinction between actions from duty and actions in conformity with duty claiming that only the former are morally worthy. Kant’s argument in support of this thesis is taken to rest on the claim that only the motive of duty leads non-accidentally or reliably to moral actions. However, many critics of Kant have claimed that other motives such as sympathy and benevolence can also lead to moral actions reliably, and that Kant’s thesis is false. In addition, many (...)
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  33. On delight: Thoughts for tomorrow.Claudia Westermann - 2018 - Technoetic Arts 16 (1):43-51.
    The article introduces the problematics of the classical two-valued logic on which Western thought is generally based, outlining that under the conditions of its logical assumptions the subject I is situated in a world that it cannot address. In this context, the article outlines a short history of cybernetics and the shift from first- to second-order cybernetics. The basic principles of Gordon Pask’s 1976 Conversation Theory are introduced. It is argued that this second-order theory grants agency (...)
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  34. Social pathologies as second-order disorders.Christopher Zurn - 2011 - In Danielle Petherbridge (ed.), Axel Honneth: Critical Essays: With a Reply by Axel Honneth. Leiden, The Netherlands: Brill Academic. pp. 345-370.
    Aside from the systematic theory of recognition, Honneth’s work in the last decade has also centered around a less commented-upon theme: the critical social theoretic diagnosis of social pathologies. This paper claims first that his diverse diagnoses of specific social pathologies can be productively united through the conceptual structure evinced by second-order disorders, where there are substantial disconnects, of various kinds, between first-order contents and second-order reflexive understandings of those contents. The second major claim (...)
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  35. Criticising Humanities Today:-Framing Debates on the Value of Humanities in EU Higher Education Policy with a Special Focus on the Bologna Process.Lavinia Marin - 2014 - Dissertation, Uppsala University
    The main research question that this paper aims to answer is: ‘In what does today’s attack on humanities consist and how can humanities be defended?’ In order to answer this research question, one needs first to describe how the humanities have argued for their usefulness before the Bologna Process; second, provide reasons for the claim that the Bologna Process would be a new type of attack; and third, analyse the new defences for the humanities, so as to discuss (...)
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  36.  60
    The second-order problem of other minds.Ori Friedman & Arber Tasimi - 2023 - Behavioral and Brain Sciences 46:e31.
    The target article proposes that people perceive social robots as depictions rather than as genuine social agents. We suggest that people might instead view social robots as social agents, albeit agents with more restricted capacities and moral rights than humans. We discuss why social robots, unlike other kinds of depictions, present a special challenge for testing the depiction hypothesis.
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  37. An Argument for a Second-Order Cosmology.Dan Bruiger - manuscript
    This paper proposes the feasibility of a second-order approach in cosmology. It is intended to encourage cosmologists to rethink standard ideas in their field, leading to a broader concept of self-organization and of science itself. It is argued, from a cognitive epistemology perspective, that a first-order approach is inadequate for cosmology; study of the universe as a whole must include study of the scientific observer and the process of theorizing. Otherwise, concepts of self-organization at the cosmological scale (...)
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  38. On Second-Order Religion, Agatheism and Naturalism. A Reply to Branden Thornhill-Miller, Peter Millican and Janusz Salamon.Graham Oppy - 2016 - European Journal for Philosophy of Religion 8 (3):257--272.
    These comments, on the paper by Branden Thornhill-Miller and Peter Millican, and on the critique of that paper by Janusz Salamon, divide into four sections. In the first two sections, I briefly sketch some of the major themes from the paper by Thornhill-Miller and Millican, and then from the critique by Salamon. In the final two sections, I provide some critical thoughts on Salamon’s objections to Thornhill-Miller and Millican, and then on the leading claims made by Thornhill-Miller and Millican. I (...)
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  39. Motivational Internalism and The Second-Order Desire Explanation.Xiao Zhang - 2021 - European Journal of Analytic Philosophy 17 (1):(D2)5-18.
    Both motivational internalism and externalism need to explain why sometimes moral judgments tend to motivate us. In this paper, I argue that Dreier’ second-order desire model cannot be a plausible externalist alternative to explain the connection between moral judgments and motivation. I explain that the relevant second-order desire is merely a constitutive requirement of rationality because that desire makes a set of desires more unified and coherent. As a rational agent with the relevant second-order (...)
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  40. Second-Order Arguments, or Do We Still Need Tolerance in the Public Sphere?Aleksei Loginov - 2019 - Changing Societies and Personalities 3 (4):319-332.
    A number of widely discussed court decisions on cases of insults against religious feelings in Russia, such as the relatively recent “Pokemon Go” case of blogger Ruslan Sokolovsky or the lawsuit filed against an Orthodox priest by Nikolai Ryabchevsky in Yekaterinburg for comparing Lenin with Hitler, make pertinent the question of why toleration becomes so difficult in matters concerning religion. In this paper, I revise the classical liberal concept of toleration (David Heyd, Peter Nicholson, and John Horton), arguing that it (...)
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  41.  87
    Semantics for Second Order Relevant Logics.Shay Logan - forthcoming - In Andrew Tedder, Shawn Standefer & Igor Sedlár (eds.), New Directions in Relevant Logic. Springer. pp. 211-226.
    Here's the thing: when you look at it from just the right angle, it's entirely obvious how semantics for second-order relevant logics ought to go. Or at least, if you've understood how semantics for first-order relevant logics ought to go, there are perspectives like this. What's more is that from any such angle, the metatheory that needs doing can be summed up in one line: everything is just as in the first-order case, but with more indices. (...)
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  42. A solution for Russellians to a puzzle about belief.Sean Crawford - 2004 - Analysis 64 (3):223-29.
    According to Russellianism (or Millianism), the two sentences ‘Ralph believes George Eliot is a novelist’ and ‘Ralph believes Mary Ann Evans is a novelist’ cannot diverge in truth-value, since they express the same proposition. The problem for the Russellian (or Millian) is that a puzzle of Kaplan’s seems to show that they can diverge in truth-value and that therefore, since the Russellian holds that they express the same proposition, the Russellian view is contradictory. I argue that the standard (...)
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  43. Paradoxes of Emotional Life: Second-Order Emotions.Antonio de Castro Caeiro - 2022 - Philosophies 7 (5):109.
    Heidegger tries to explain our emotional life applying three schemes: causal explanation, mental internalisation of emotions and metaphorical expression. None of the three schemes explains emotion though. Either because the causal nexus does not always occur or because objects and people in the external world are carriers of emotional agents or because language is already on a metaphorical level. Moreover, how is it possible that there are presently emotions constituting our life without our being aware of their existence? From the (...)
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  44. First- and second-order logic of mass terms.Peter Roeper - 2004 - Journal of Philosophical Logic 33 (3):261-297.
    Provided here is an account, both syntactic and semantic, of first-order and monadic second-order quantification theory for domains that may be non-atomic. Although the rules of inference largely parallel those of classical logic, there are important differences in connection with the identification of argument places and the significance of the identity relation.
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  45. Methodological Issues of Second-order Model Building.Pedro J. Sánchez Gómez - 2014 - Constructivist Foundations 9 (3):344-346.
    Open peer commentary on the article “Constructivist Model Building: Empirical Examples From Mathematics Education” by Catherine Ulrich, Erik S. Tillema, Amy J. Hackenberg & Anderson Norton. Upshot: I argue that radical constructivism poses a series of deep methodological constraints on educational research. We focus on the work of Ulrich et al. to illustrate the practical implications of these constraints.
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  46. Five-Year-Olds’ Systematic Errors in Second-Order False Belief Tasks Are Due to First-Order Theory of Mind Strategy Selection: A Computational Modeling Study.Burcu Arslan, Niels A. Taatgen & Rineke Verbrugge - 2017 - Frontiers in Psychology 8.
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  47. Questioning Gödel's Ontological Proof: Is Truth Positive?Gregor Damschen - 2011 - European Journal for Philosophy of Religion 3 (1):161-169.
    In his "Ontological proof", Kurt Gödel introduces the notion of a second-order value property, the positive property P. The second axiom of the proof states that for any property φ: If φ is positive, its negation is not positive, and vice versa. I put forward that this concept of positiveness leads into a paradox when we apply it to the following self-reflexive sentences: (A) The truth value of A is not positive; (B) The truth (...) of B is positive. Given axiom 2, sentences A and B paradoxically cannot be both true or both false, and it is also impossible that one of the sentences is true whereas the other is false. (shrink)
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  48. Inconsistent Countable Set in Second Order ZFC and Nonexistence of the Strongly Inaccessible Cardinals.Jaykov Foukzon - 2015 - British Journal of Mathematics and Computer Science 9 (5):380-393.
    In this article we derived an important example of the inconsistent countable set in second order ZFC (ZFC_2) with the full second-order semantics. Main results: (i) :~Con(ZFC2_); (ii) let k be an inaccessible cardinal, V is an standard model of ZFC (ZFC_2) and H_k is a set of all sets having hereditary size less then k; then : ~Con(ZFC + E(V)(V = Hk)):.
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  49. Representationalism, First-person Authority, and Second-order Knowledge.Sven Bernecker - 2011 - In Anthony Hatzimoysis (ed.), Self-Knowledge. Oxford, UK: Oxford University Press. pp. 33-52.
    This paper argues that, given the representational theory of mind, one cannot know a priori that one knows that p as opposed to being incapable of having any knowledge states; but one can know a priori that one knows that p as opposed to some other proposition q.
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  50. Strong normalization of a symmetric lambda calculus for second-order classical logic.Yoriyuki Yamagata - 2002 - Archive for Mathematical Logic 41 (1):91-99.
    We extend Barbanera and Berardi's symmetric lambda calculus [2] to second-order classical propositional logic and prove its strong normalization.
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