Results for 'John Burgess'

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  1. What is Mathematical Rigor?John Burgess & Silvia De Toffoli - 2022 - Aphex 25:1-17.
    Rigorous proof is supposed to guarantee that the premises invoked imply the conclusion reached, and the problem of rigor may be described as that of bringing together the perspectives of formal logic and mathematical practice on how this is to be achieved. This problem has recently raised a lot of discussion among philosophers of mathematics. We survey some possible solutions and argue that failure to understand its terms properly has led to misunderstandings in the literature.
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  2. Breadth and Depth of Knowledge in Expert versus Novice Athletes.John Sutton & Doris McIllwain - 2015 - In Damion Farrow & Joe Baker (eds.), The Routledge Handbook of Sport Expertise. Routledge.
    Questions about knowledge in expert sport are not only of applied significance: they also take us to the heart of foundational and heavily-disputed issues in the cognitive sciences. To a first (rough and far from uncontroversial) approximation, we can think of expert ‘knowledge’ as whatever it is that grounds or is applied in (more or less) effective decision-making, especially when in a competitive situation a performer follows one course of action out of a range of possibilities. In these research areas, (...)
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  3. Conversation with John P. Burgess.Silvia De Toffoli - 2022 - Aphex 25.
    John P. Burgess is the John N. Woodhull Professor of Philosophy at Princeton University. He obtained his Ph.D. from the Logic and Methodology program at the University of California at Berkeley under the supervision of Jack H. Silver with a thesis on descriptive set theory. He is a very distinguished and influential philosopher of mathematics. He has written several books: A Subject with No Object (with G. Rosen, Oxford University Press, 1997), Computability and Logic (with G. Boolos (...)
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  4. Kurt Gödels mathematische Anschauung und John P. Burgess’ mathematische Intuition.Eva-Maria Engelen - 2014 - XXIII Deutscher Kongress Für Philosophie Münster 2014, Konferenzveröffentlichung.
    John P. Burgess kritisiert Kurt Gödels Begriff der mathematischen oder rationalen Anschauung und erläutert, warum heuristische Intuition dasselbe leistet wie rationale Anschauung, aber ganz ohne ontologisch überflüssige Vorannahmen auskommt. Laut Burgess müsste Gödel einen Unterschied zwischen rationaler Anschauung und so etwas wie mathematischer Ahnung, aufzeigen können, die auf unbewusster Induktion oder Analogie beruht und eine heuristische Funktion bei der Rechtfertigung mathematischer Aussagen einnimmt. Nur, wozu benötigen wir eine solche Annahme? Reicht es nicht, wenn die mathematische Intuition als (...)
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  5. John P. Burgess, Philosophical Logic, Princeton University Press, 2009”. [REVIEW]Constantin C. Brîncuș - 2013 - Romanian Journal of Analytic Philosophy 8 (1):90-92.
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  6. Book Review Truth by Alexis G Burgess and John P Burgess[REVIEW]Swami Narasimhananda - 2015 - Prabuddha Bharata or Awakened India 120 (3):295-6.
    Professors of philosophy, the authors have done a succinct and critical analysis of some theories of truth: deflationism, indeterminacy, insolubility, realism, and antirealism.
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  7. Epistemicism, parasites, and vague names.Brian Weatherson - 2003 - Australasian Journal of Philosophy 81 (2):276 – 279.
    John Burgess has recently argued that Timothy Williamson’s attempts to avoid the objection that his theory of vagueness is based on an untenable metaphysics of content are unsuccessful. Burgess’s arguments are important, and largely correct, but there is a mistake in the discussion of one of the key examples. In this note I provide some alternative examples and use them to repair the mistaken section of the argument.
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  8. Deferentialism.Chris Daly & David Liggins - 2011 - Philosophical Studies 156 (3):321-337.
    There is a recent and growing trend in philosophy that involves deferring to the claims of certain disciplines outside of philosophy, such as mathematics, the natural sciences, and linguistics. According to this trend— deferentialism , as we will call it—certain disciplines outside of philosophy make claims that have a decisive bearing on philosophical disputes, where those claims are more epistemically justified than any philosophical considerations just because those claims are made by those disciplines. Deferentialists believe that certain longstanding philosophical problems (...)
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  9. What Mathematicians' Claims Mean : In Defense of Hermeneutic Fictionalism.Gábor Forrai - 2010 - Hungarian Philosophical Review 54 (4):191-203.
    Hermeneutic fictionalism about mathematics maintains that mathematics is not committed to the existence of abstract objects such as numbers. Mathematical sentences are true, but they should not be construed literally. Numbers are just fictions in terms of which we can conveniently describe things which exist. The paper defends Stephen Yablo’s hermeneutic fictionalism against an objection proposed by John Burgess and Gideon Rosen. The objection, directed against all forms of nominalism, goes as follows. Nominalism can take either a hermeneutic (...)
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  10. Near Closeness and Conditionals.Daniel Berntson - manuscript
    This paper presents a new system of conditional logic B2, which is strictly intermediate in strength between the existing systems B1 and B3 from John Burgess (1981) and David Lewis (1973a). After presenting and motivating the new system, we will show that it is characterized by a natural class of frames. These frames correspond to the idea that conditionals are about which worlds are nearly closest, rather than which worlds are closest. Along the way, we will also give (...)
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  11. Is there a good epistemological argument against platonism?David Liggins - 2006 - Analysis 66 (2):135–141.
    Platonism in the philosophy of mathematics is the doctrine that there are mathematical objects such as numbers. John Burgess and Gideon Rosen have argued that that there is no good epistemological argument against platonism. They propose a dilemma, claiming that epistemological arguments against platonism either rely on a dubious epistemology, or resemble a dubious sceptical argument concerning perceptual knowledge. Against Burgess and Rosen, I show that an epistemological anti- platonist argument proposed by Hartry Field avoids both horns (...)
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  12. Anti-nominalism reconsidered.David Liggins - 2007 - Philosophical Quarterly 57 (226):104–111.
    Many philosophers of mathematics are attracted by nominalism – the doctrine that there are no sets, numbers, functions, or other mathematical objects. John Burgess and Gideon Rosen have put forward an intriguing argument against nominalism, based on the thought that philosophy cannot overrule internal mathematical and scientific standards of acceptability. I argue that Burgess and Rosen’s argument fails because it relies on a mistaken view of what the standards of mathematics require.
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  13. Note on Absolute Provability and Cantorian Comprehension.Holger A. Leuz - manuscript
    We will explicate Cantor’s principle of set existence using the Gödelian intensional notion of absolute provability and John Burgess’ plural logical concept of set formation. From this Cantorian Comprehension principle we will derive a conditional result about the question whether there are any absolutely unprovable mathematical truths. Finally, we will discuss the philosophical significance of the conditional result.
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  14. For the Common Good: Philosophical Foundations of Research Ethics.Alex John London - 2021 - New York, NY, USA: Oxford University Press.
    The foundations of research ethics are riven with fault lines emanating from a fear that if research is too closely connected to weighty social purposes an imperative to advance the common good through research will justify abrogating the rights and welfare of study participants. The result is an impoverished conception of the nature of research, an incomplete focus on actors who bear important moral responsibilities, and a system of ethics and oversight highly attuned to the dangers of research but largely (...)
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  15. O Pensamento Social dos Estados Unidos: uma abordagem histórica.Emanuel Isaque Cordeiro da Silva - manuscript
    HISTÓRIA DA SOCIOLOGIA: O DESENVOLVIMENTO DA SOCIOLOGIA I -/- A SOCIOLOGIA NOS ESTADOS UNIDOS -/- -/- HISTORY OF SOCIOLOGY: THE DEVELOPMENT OF SOCIOLOGY I -/- SOCIOLOGY IN UNITED STATES -/- -/- Emanuel Isaque Cordeiro da Silva – IFPE-BJ, CAP-UFPE e UFRPE. E-mails: [email protected] e [email protected] WhatsApp: (82)9.8143-8399. -/- -/- PREMISSA -/- A Sociologia nos Estados Unidos desenvolveu-se no contexto de dois grandes eventos que marcaram profundamente a história do país. -/- O primeiro foi a Guerra de Secessão (também conhecida como (...)
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  16. Agency and Evidence.Berislav Marusic & John Schwenkler - 2022 - In Luca Ferrero (ed.), The Routledge Handbook of Philosophy of Agency. New York, NY: Routledge. pp. 244-252.
    How does evidence figure into the reasoning of an agent? This is an intricate philosophical problem but also one we all encounter in our daily lives. In this chapter, we identify the problem and outline a possible solution to it. The problem arises, because the fact that it is up to us whether we do something makes a difference to how we should think of the evidence concerning whether we will actually do it. Otherwise we regard something that is up (...)
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  17. The Why and the How of Renewal in Philosophy of Religion.Paul Draper & John L. Schellenberg - 2022 - European Journal for Philosophy of Religion 14 (1):1-20.
    In this paper, we aim to get clear about why renewal is needed in philosophy of religion and how to achieve it. We begin with a fundamental distinction between someone’s perspective in the field and the perspective of the field, arguing that any philosopher of religion is responsible to both. Then we identify eight problems that should prevent the status quo in philosophy from appearing acceptable to anyone who takes the perspective of the field, as well as seven practical suggestions (...)
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  18. Social Ontology: Some basic principles / Društvena ontologija: neki temeljni principi (Bosnian translation by Nijaz Ibrulj).Nijaz Ibrulj & John R. Searle - 2018 - Sophos 1 (11):129-151.
    Translated from: Searle, J. R. 'Social Ontology: some basic principles'. Anthopological Theory, 2006, Vol. 6, issue 1, pp.51-71.
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  19. Closing the Hole Argument.Hans Halvorson & John Byron Manchak - forthcoming - British Journal for the Philosophy of Science.
    The hole argument purportedly shows that spacetime substantivalism implies a pernicious form of indeterminism. We show that the argument is seductive only because it mistakes a trivial claim (viz. there are isomorphic models) for a significant claim (viz. there are hole isomorphisms). We prove that the latter claim is false -- thereby closing the debate about whether substantivalism implies indeterminism.
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  20. What is an Institution? / Sta je institucija ? (Bosnian translation by Nijaz Ibrulj).Nijaz Ibrulj & John R. Searle - 2018 - Pregled 1 (2):211-235.
    The article is translated here from John R. Searle : What is an Institution? Journal of Institutional Economics (2005), 1: 1, 1–22 Printed in the United Kingdom, The JOIE Foundation, 2005.
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  21. Apology of Socrates: With the Death Scene from Phaedo. Plato & John M. Armstrong - 2021 - Buena Vista, VA, USA: Tully Books.
    This new, inexpensive translation of Plato's Apology of Socrates is an alternative to the 19th-century Jowett translation that students find online when they're trying to save money on books. Using the 1995 Oxford Classical Text and the commentaries of John Burnet and James Helm, I aimed to produce a 21st-century English translation that is both true to Plato's Greek and understandable to college students in introductory philosophy, political theory, and humanities courses. The book also includes a new translation of (...)
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  22. Implementing Dempster-Shafer Theory for property similarity in Conceptual Spaces modeling.Jeremy R. Chapman, John L. Crassidis, James Llinas, Barry Smith & David Kasmier - 2022 - Sensor Systems and Information Systems IV, American Institute of Aeronautics and Astronautics (AIAA) SCITECH Forum 2022.
    Previous work has shown that the Complex Conceptual Spaces − Single Observation Mathematical framework is a useful tool for event characterization. This mathematical framework is developed on the basis of Conceptual Spaces and uses integer linear programming to find the needed similarity values. The work of this paper is focused primarily on space event characterization. In particular, the focus is on the ranking of threats for malicious space events such as a kinetic kill. To make the Conceptual Spaces framework work, (...)
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  23. 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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  24. Descartes’s Schism, Locke’s Reunion: Completing the Pragmatic Turn in Epistemology.John Turri & Wesley Buckwalter - 2017 - American Philosophical Quarterly 54 (1):25-46.
    Centuries ago, Descartes and Locke initiated a foundational debate in epistemology over the relationship between knowledge, on the one hand, and practical factors, on the other. Descartes claimed that knowledge and practice are fundamentally separate. Locke claimed that knowledge and practice are fundamentally united. After a period of dormancy, their disagreement has reignited on the contemporary scene. Latter-day Lockeans claim that knowledge itself is essentially connected to, and perhaps even constituted by, practical factors such as how much is at stake, (...)
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  25. Excuse validation: a study in rule-breaking.John Turri & Peter Blouw - 2015 - Philosophical Studies 172 (3):615-634.
    Can judging that an agent blamelessly broke a rule lead us to claim, paradoxically, that no rule was broken at all? Surprisingly, it can. Across seven experiments, we document and explain the phenomenon of excuse validation. We found when an agent blamelessly breaks a rule, it significantly distorts people’s description of the agent’s conduct. Roughly half of people deny that a rule was broken. The results suggest that people engage in excuse validation in order to avoid indirectly blaming others for (...)
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  26. Discounting the Future.John Broome - 1994 - Philosophy and Public Affairs 23 (2):128-156.
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  27. Evidence of factive norms of belief and decision.John Turri - 2015 - Synthese 192 (12):4009-4030.
    According to factive accounts of the norm of belief and decision-making, you should not believe or base decisions on a falsehood. Even when the evidence misleadingly suggests that a false proposition is true, you should not believe it or base decisions on it. Critics claim that factive accounts are counterintuitive and badly mischaracterize our ordinary practice of evaluating beliefs and decisions. This paper reports four experiments that rigorously test the critic’s accusations and the viability of factive accounts. The results undermine (...)
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  28. Understanding 'Practical Knowledge'.John Schwenkler - 2015 - Philosophers' Imprint 15.
    The concept of practical knowledge is central to G.E.M. Anscombe's argument in Intention, yet its meaning is little understood. There are several reasons for this, including a lack of attention to Anscombe's ancient and medieval sources for the concept, and an emphasis on the more straightforward concept of knowledge "without observation" in the interpretation of Anscombe's position. This paper remedies the situation, first by appealing to the writings of Thomas Aquinas to develop an account of practical knowledge as a distinctive (...)
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  29. Skeptical Appeal: The Source‐Content Bias.John Turri - 2014 - Cognitive Science 38 (5):307-324.
    Radical skepticism is the view that we know nothing or at least next to nothing. Nearly no one actually believes that skepticism is true. Yet it has remained a serious topic of discussion for millennia and it looms large in popular culture. What explains its persistent and widespread appeal? How does the skeptic get us to doubt what we ordinarily take ourselves to know? I present evidence from two experiments that classic skeptical arguments gain potency from an interaction between two (...)
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  30. Understanding and the Norm of Explanation.John Turri - 2015 - Philosophia 43 (4):1171-1175.
    I propose and defend the hypothesis that understanding is the norm of explanation. On this proposal, an explanation should express understanding. I call this the understanding account of explanation. The understanding account is supported by social and introspective observations. It is also supported by the relationship between knowledge and understanding, on the one hand, and assertion and explanation, on the other.
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  31. The Backward Clock, Truth-Tracking, and Safety.John N. Williams & Neil Sinhababu - 2015 - Journal of Philosophy 112 (1):46-55.
    We present Backward Clock, an original counterexample to Robert Nozick’s truth-tracking analysis of propositional knowledge, which works differently from other putative counterexamples and avoids objections to which they are vulnerable. We then argue that four ways of analysing knowledge in terms of safety, including Duncan Pritchard’s, cannot withstand Backward Clock either.
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  32. On the Diagrammatic and Mechanical Representation of Propositions and Reasonings.John Venn - 1880 - Philosophical Magazine 9 (59):1-18.
    Schemes of diagrammatic representation have been so familiarly introduced into logical treatises during the last century or so, that many readers, even of those who have made no professional study of logic, may be supposed to be acquainted with the general nature and object of such devices. Of these schemes one only, viz. that commonly called "Eulerian circles," has met with any general acceptance. A variety of others indeed have been proposed by ingenious and celebrated logicians, several of which would (...)
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  33. Rational Akrasia.John Brunero - 2013 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 20 (4):546-566.
    It is commonly thought that one is irrationally akratic when one believes one ought to F but does not intend to F. However, some philosophers, following Robert Audi, have argued that it is sometimes rational to have this combination of attitudes. I here consider the question of whether rational akrasia is possible. I argue that those arguments for the possibility of rational akrasia advanced by Audi and others do not succeed. Specifically, I argue that cases in which an akratic agent (...)
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  34. The Ethics of Creating Artificial Consciousness.John Basl - 2013 - APA Newsletter on Philosophy and Computers 13 (1):23-29.
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  35. An Introduction to Hard and Soft Data Fusion via Conceptual Spaces Modeling for Space Event Characterization.Jeremy Chapman, David Kasmier, John L. Crassidis, James L. Llinas, Barry Smith & Alex P. Cox - 2021 - In Jeremy Chapman, David Kasmier, John L. Crassidis, James L. Llinas, Barry Smith & Alex P. Cox (eds.), National Symposium on Sensor & Data Fusion (NSSDF), Military Sensing Symposia (MSS).
    This paper describes an AFOSR-supported basic research program that focuses on developing a new framework for combining hard with soft data in order to improve space situational awareness. The goal is to provide, in an automatic and near real-time fashion, a ranking of possible threats to blue assets (assets trying to be protected) from red assets (assets with hostile intentions). The approach is based on Conceptual Spaces models, which combine features from traditional associative and symbolic cognitive models. While Conceptual Spaces (...)
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  36. 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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  37. Running into Consciousness.John Barnden - 2014 - Journal of Consciousness Studies 21 (5-6):33-56.
    It is proposed that conscious qualia arise when and only when the 'running' of physical processes takes a special, complex form. Running in general is the unified unfolding of processes through time, and is claimed to be an additional quality of physical processes beyond their state trajectories. The type of running needed for conscious qualia is reflexive in physically affecting and responding to itself. Intuitively, running is essentially the flow of causation, and the self-affecting/responding is a matter of causation bearing (...)
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  38. Should Pediatric Patients Be Prioritized When Rationing Life-Saving Treatments During the COVID-19 Pandemic.Ryan M. Antiel, Farr A. Curlin, Govind Persad, Douglas B. White, Cathy Zhang, Aaron Glickman, Ezekiel J. Emanuel & John Lantos - 2020 - Pediatrics 146 (3):e2020012542.
    Coronavirus disease 2019 can lead to respiratory failure. Some patients require extracorporeal membrane oxygenation support. During the current pandemic, health care resources in some cities have been overwhelmed, and doctors have faced complex decisions about resource allocation. We present a case in which a pediatric hospital caring for both children and adults seeks to establish guidelines for the use of extracorporeal membrane oxygenation if there are not enough resources to treat every patient. Experts in critical care, end-of-life care, bioethics, and (...)
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  39. Metaphysics and Physiology: Mind, Body, and the Animal Economy in Eighteenth-Century Scotland.John P. Wright - 1990 - In Michael Alexander Stewart (ed.), Studies in the philosophy of the Scottish enlightenment. New York: Oxford University Press. pp. 251-301.
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  40. Induction in the Socratic Tradition.John P. McCaskey - 2014 - In Paolo C. Biondi & Louis F. Groarke (eds.), Shifting the Paradigm: Alternative Perspectives on Induction. Boston: De Gruyter. pp. 161-192.
    Aristotle said that induction (epagōgē) is a proceeding from particulars to a universal, and the definition has been conventional ever since. But there is an ambiguity here. Induction in the Scholastic and the (so-called) Humean tradition has presumed that Aristotle meant going from particular statements to universal statements. But the alternate view, namely that Aristotle meant going from particular things to universal ideas, prevailed all through antiquity and then again from the time of Francis Bacon until the mid-nineteenth century. Recent (...)
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  41. Empathy.John Gibson - 2015 - In Noël Carroll & John Gibson (eds.), The Routledge Companion to Philosophy of Literature. New York: Routledge. pp. 200-219.
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  42. 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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  43. 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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  44. 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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  45. Why Digital Pictures Are Not Notational Representations.John Zeimbekis - 2015 - Journal of Aesthetics and Art Criticism 73 (4):449-453.
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  46. Introduction: The Place of Poetry in Contemporary Aesthetics.John Gibson - 2015 - In The Philosophy of Poetry. Oxford, GB: Oxford University Press. pp. 1-16.
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  47. The Kalām Cosmological Argument, the Big Bang, and Atheism.John J. Park - 2016 - Acta Analytica 31 (3):323-335.
    While there has been much work on cosmological arguments, novel objections will be presented against the modern day rendition of the Kalām cosmological argument as standardly articulated by William Lane Craig. The conclusion is reached that this cosmological argument and several of its variants do not lead us to believe that there is inevitably a supernatural cause to the universe. Moreover, a conditional argument for atheism will be presented in light of the Big Bang Theory.
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  48. Reid on the priority of natural language.John Turri - 2011 - Canadian Journal of Philosophy 41 (S1):214-223.
    Thomas Reid distinguished between natural and artificial language and argued that natural language has a very specific sort of priority over artificial language. This paper critically interprets Reid's discussion, extracts a Reidian explanatory argument for the priority of natural language, and places Reid's thought in the broad tradition of Cartesian linguistics.
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  49. (1 other version)Instrumental reasoning.John Broome - 2000 - In Julian Nida-Rümelin & Wolfgang Spohn (eds.), Rationality, Rules and Structure. Kluwer Academic Publishers. pp. 195-207.
    Like all reasoning, practical reasoning is a process that takes a person from some of her existing mental states to a new mental state. Theoretical reasoning concludes in a belief; practical reasoning in an intention. This paper concentrates on instrumental reasoning, a species of practical reasoning in general. It argues that instrumental reasoning is correct if the content of the reasoning is a valid derivation, just as theoretical reasoning is correct if its content is a valid derivation. It also argues (...)
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  50. Hedonism.John J. Tilley - 2012 - In Ruth Chadwick (ed.), Encyclopedia of Allpied Ethics, 2nd ed. Academic Press. pp. 566-73.
    This article covers four types of hedonism: ancient hedonism; ethical hedonism; axiological hedonism; and psychological hedonism. It concentrates on the latter two types, both by clarifying them and by discussing arguments in their behalf. It closes with a few words about the relevance of those positions to applied ethics.
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