Results for 'Burgess John'

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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, 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.  99
    Burgess and the bucket: the emergence of spacetime in classical theories of gravitation.Joshua Babic & Lorenzo Cocco - 2025 - Synthese 205 (2):1-32.
    The paper studies in detail a precise formal construction of spacetime from matter suggested by the logician John Burgess. We presuppose a continuous and perdurantistic matter ontology. The result is a systematic method to translate claims about the geometry of a flat relativistic, or classical, spacetime into claims about geometrical relations between matter points. The approach is extended to electric and magnetic fields by treating them as multifields defined on matter, rather than as fields in the vacuum. A (...)
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  6. 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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  7. 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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  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. 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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  10. 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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  11.  39
    Quine and the A Priori.Lars Bergstrom - 2013 - In Ernie Lepore & Gilbert Harman, A Companion to W. V. O. Quine. Wiley-Blackwell. pp. 38–53.
    John P. Burgess: Quine's continuing struggles with epistemological and ontological problems about mathematics and logic are traced from his first rebellion against logicism, through his flirtation and subsequent disillusionment with nominalism, to his final endorsement of naturalism, with an eye throughout to tensions among different aspects of his overall philosophy.
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  12. 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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  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. 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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  15.  58
    Iteration and Dependence Again.Luca Incurvati - 2023 - In Carolin Antos, Neil Barton & Giorgio Venturi, The Palgrave Companion to the Philosophy of Set Theory. Palgrave.
    In the first part of the paper, I clarify what is at stake in the debate between accounts of the iterative conception based on the notion of metaphysical dependence and the minimalist account I have defended in previous work (Incurvati 2012; 2020). I argue that the debate concerns how to understand and motivate the central tenet of the iterative conception that every set occurs at some level of the cumulative hierarchy. This debate, I contend, should be distinguished from the debate (...)
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  16. 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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  17. 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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  18. (2 other versions)The unreality of time.John Ellis McTaggart - 1908 - Mind 17 (68):457-474.
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  19. (1 other version)Knowledge and Action.John Hawthorne & Jason Stanley - 2008 - Journal of Philosophy 105 (10):571-590.
    Judging by our folk appraisals, then, knowledge and action are intimately related. The theories of rational action with which we are familiar leave this unexplained. Moreover, discussions of knowledge are frequently silent about this connection. This is a shame, since if there is such a connection it would seem to constitute one of the most fundamental roles for knowledge. Our purpose in this paper is to rectify this lacuna, by exploring ways in which knowing something is related to rationally acting (...)
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  20. Frege on demonstratives.John Perry - 1977 - Philosophical Review 86 (4):474-497.
    Demonstratives seem to have posed a severe difficulty for Frege’s philosophy of language, to which his doctrine of incommunicable senses was a reaction. In “The Thought,” Frege briefly discusses sentences containing such demonstratives as “today,” “here,” and “yesterday,” and then turns to certain questions that he says are raised by the occurrence of “I” in sentences (T, 24-26). He is led to say that, when one thinks about oneself, one grasps thoughts that others cannot grasp, that cannot be communicated. However, (...)
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  21. The role of trust in knowledge.John Hardwig - 1991 - Journal of Philosophy 88 (12):693-708.
    Most traditional epistemologists see trust and knowledge as deeply antithetical: we cannot know by trusting in the opinions of others; knowledge must be based on evidence, not mere trust. I argue that this is badly mistaken. Modern knowers cannot be independent and self-reliant. In most disciplines, those who do not trust cannot know. Trust is thus often more epistemically basic than empirical evidence or logical argument, for the evidence and the argument are available only through trust. Finally, since the reliability (...)
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  22. Completeness of an ancient logic.John Corcoran - 1972 - Journal of Symbolic Logic 37 (4):696-702.
    In previous articles, it has been shown that the deductive system developed by Aristotle in his "second logic" is a natural deduction system and not an axiomatic system as previously had been thought. It was also stated that Aristotle's logic is self-sufficient in two senses: First, that it presupposed no other logical concepts, not even those of propositional logic; second, that it is (strongly) complete in the sense that every valid argument expressible in the language of the system is deducible (...)
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  23. Fairness to goodness.John Rawls - 1975 - Philosophical Review 84 (4):536-554.
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  24. Cognitivism and the arts.John Gibson - 2008 - Philosophy Compass 3 (4):573-589.
    Cognitivism in respect to the arts refers to a constellation of positions that share in common the idea that artworks often bear, in addition to aesthetic value, a significant kind of cognitive value. In this paper I concentrate on three things: (i) the challenge of understanding exactly what one must do if one wishes to defend a cognitivist view of the arts; (ii) common anti-cognitivist arguments; and (iii) promising recent attempts to defend cognitivism.
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  25. String theory.John Corcoran, William Frank & Michael Maloney - 1974 - Journal of Symbolic Logic 39 (4):625-637.
    For each positive n , two alternative axiomatizations of the theory of strings over n alphabetic characters are presented. One class of axiomatizations derives from Tarski's system of the Wahrheitsbegriff and uses the n characters and concatenation as primitives. The other class involves using n character-prefixing operators as primitives and derives from Hermes' Semiotik. All underlying logics are second order. It is shown that, for each n, the two theories are definitionally equivalent [or synonymous in the sense of deBouvere]. It (...)
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  26. Access externalism.John Gibbons - 2006 - Mind 115 (457):19-39.
    This paper argues for externalism about justification on the basis of thought experiments. I present cases in which two individuals are intrinsically and introspectively indistinguishable and in which intuitively, one is justified in believing that p while the other is not. I also examine an argument for internalism based on the ideas that we have privileged access to whether or not our own beliefs are justified and that only internalism is compatible with this privilege. I isolate what I take to (...)
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  27. Dreaming.John Sutton - 2009 - In Sarah Robins, John Symons & Paco Calvo, The Routledge Companion to Philosophy of Psychology. New York, NY: Routledge.
    As a topic in the philosophy of psychology, dreaming is a fascinating, diverse, and severely underdeveloped area of study. The topic excites intense public interest in its own right, while also challenging our confidence that we know what the words “conscious” and “consciousness” mean. So dreaming should be at the forefront of our interdisciplinary investigations: theories of mind which fail to address the topic are incomplete. This chapter illustrates the tight links between conceptual and empirical issues by highlighting surprisingly deep (...)
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  28. Aristotle's demonstrative logic.John Corcoran - 2009 - History and Philosophy of Logic 30 (1):1-20.
    Demonstrative logic, the study of demonstration as opposed to persuasion, is the subject of Aristotle's two-volume Analytics. Many examples are geometrical. Demonstration produces knowledge (of the truth of propositions). Persuasion merely produces opinion. Aristotle presented a general truth-and-consequence conception of demonstration meant to apply to all demonstrations. According to him, a demonstration, which normally proves a conclusion not previously known to be true, is an extended argumentation beginning with premises known to be truths and containing a chain of reasoning showing (...)
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  29. On the regress argument for infinitism.John Turri - 2009 - Synthese 166 (1):157 - 163.
    This paper critically evaluates the regress argument for infinitism. The dialectic is essentially this. Peter Klein argues that only an infinitist can, without being dogmatic, enhance the credibility of a questioned non-evident proposition. In response, I demonstrate that a foundationalist can do this equally well. Furthermore, I explain how foundationalism can provide for infinite chains of justification. I conclude that the regress argument for infinitism should not convince us.
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  30. Mental causation without downward causation.John Gibbons - 2006 - Philosophical Review 115 (1):79-103.
    The problem of downward causation is that an intuitive response to an intuitive picture leads to counterintuitive results. Suppose a mental event, m1, causes another mental event, m2. Unless the mental and the physical are completely independent, there will be a physical event in your brain or your body or the physical world as a whole that underlies this event. The mental event occurs at least partly in virtue of the physical event’s occurring. And the same goes for m2 [2] (...)
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  31. Porous memory and the cognitive life of things.John Sutton - 2002 - In Darren Tofts, Annemarie Jonson & Alessio Cavallaro, Prefiguring Cyberculture: An Intellectual History. MIT Press. pp. 130--141.
    Published in Darren Tofts, Annemarie Jonson, and Alessio Cavallaro (eds), _Prefiguring Cyberculture: an intellectual history_ (MIT Press and Power Publications, December 2002). Please do send comments: email me. Back to my main publications page . Back to my home page.
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  32. Schemata: The concept of schema in the history of logic.John Corcoran - 2006 - Bulletin of Symbolic Logic 12 (2):219-240.
    The syllogistic figures and moods can be taken to be argument schemata as can the rules of the Stoic propositional logic. Sentence schemata have been used in axiomatizations of logic only since the landmark 1927 von Neumann paper [31]. Modern philosophers know the role of schemata in explications of the semantic conception of truth through Tarski’s 1933 Convention T [42]. Mathematical logicians recognize the role of schemata in first-order number theory where Peano’s second-order Induction Axiom is approximated by Herbrand’s Induction-Axiom (...)
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  33. Conceptual structure of classical logic.John Corcoran - 1972 - Philosophy and Phenomenological Research 33 (1):25-47.
    One innovation in this paper is its identification, analysis, and description of a troubling ambiguity in the word ‘argument’. In one sense ‘argument’ denotes a premise-conclusion argument: a two-part system composed of a set of sentences—the premises—and a single sentence—the conclusion. In another sense it denotes a premise-conclusion-mediation argument—later called an argumentation: a three-part system composed of a set of sentences—the premises—a single sentence—the conclusion—and complex of sentences—the mediation. The latter is often intended to show that the conclusion follows from (...)
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  34. 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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  35. Between truth and triviality.John Gibson - 2003 - British Journal of Aesthetics 43 (3):224-237.
    A viable theory of literary humanism must do justice to the idea that literature offers cognitive rewards to the careful reader. There are, however, powerful arguments to the effect that literature is at best only capable of offering idle visions of a world already well known. In this essay I argue that there is a form of cognitive awareness left unmentioned in the traditional vocabulary of knowledge acquisition, a form of awareness literature is particularly capable of offering. Thus even if (...)
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  36. How Not to Not Change the Subject (And How to Actually Not Change the Subject).John Mancini - forthcoming - Southwest Philosophy Review.
    In 2015, ‘marriage’ was redefined in the United States to include same-sex couples. In conceptual engineering, this is often assumed to be a paradigm case of Sally Haslanger’s (2020a, 2020b) semantic amelioration. Semantic amelioration changes a concept’s content to make it better. In the case of [MARRIAGE], [MARRIAGE]’s content was broadened to include same-sex couples – which, many contend, made it morally better. Semantic amelioration faces the following challenge, however: Doesn’t changing a concept’s content ‘change the subject?’ By broadening [MARRIAGE]’s (...)
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  37. Consciousness is not a bag: Immanence, transcendence, and constitution in the idea of phenomenology.John B. Brough - 2008 - Husserl Studies 24 (3):177-191.
    A fruitful way to approach The Idea of Phenomenology is through Husserl’s claim that consciousness is not a bag, box, or any other kind of container. The bag conception, which dominated much of modern philosophy, is rooted in the idea that philosophy is restricted to investigating only what is really immanent to consciousness, such as acts and sensory contents. On this view, what Husserl called the riddle of transcendence can never be solved. The phenomenological reduction, as Husserl develops it in (...)
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  38. Three logical theories.John Corcoran - 1969 - Philosophy of Science 36 (2):153-177.
    This study concerns logical systems considered as theories. By searching for the problems which the traditionally given systems may reasonably be intended to solve, we clarify the rationales for the adequacy criteria commonly applied to logical systems. From this point of view there appear to be three basic types of logical systems: those concerned with logical truth; those concerned with logical truth and with logical consequence; and those concerned with deduction per se as well as with logical truth and logical (...)
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  39. Interpreting words, interpreting worlds.John Gibson - 2006 - Journal of Aesthetics and Art Criticism 64 (4):439–450.
    It is often assumed that literary meaning is essentially linguistic in nature and that literary interpretation is therefore a purely linguistic affair. This essay identifies a variety of literary meaning that cannot be reduced to linguistic meaning. Meaning of this sort is generated not by a communicative act so much as through a creative one: the construction of a fictional world. The way in which a fictional world can bear meaning turns out to be strikingly unlike the way a sentence (...)
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  40. Of God and freedom.John Turk Saunders - 1966 - Philosophical Review 75 (2):219-225.
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  41. The Feel of the World: exograms, habits, and the confusion of types of memory.John Sutton - 2009 - In Andrew Kania, Memento. Routledge. pp. 65-86.
    A philosophical analysis of different kinds of memory used in the film Memento.
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  42. The Move from Good to Ought in Environmental Ethics.John Nolt - 2006 - Environmental Ethics 28 (4):355-374.
    The move from good to ought, a premise form found in many justifications of environmental ethics, is itself in need of justification. Of the potential moves from good to ought surveyed, some have considerable promise and others less or none. Those without much promise include extrapolations of obligations based on human goods to nonsentient natural entities, appeals to educated judgment, precautionary arguments, humanistic consequentialist arguments, and justifications that assert that our obligations to natural entities are neither directly to those entities (...)
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  43. Motivation and practical reasons.John J. Tilley - 1997 - Erkenntnis 47 (1):105-127.
    In discussions of practical reason we often encounter the view that a fact is a reason for an agent to act only if the fact is capable of moving the agent to act. This view figures centrally in many philosophical controversies, and while taken for granted by some, it is vigorously disputed by others. In this essay I show that if the disputed position is correctly interpreted, it is well armored against stock objections and implied by a premise that is (...)
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  44. Wellbeing and education: Issues of culture and authority.John White - 2007 - Journal of Philosophy of Education 41 (1):17–28.
    The idea that education should equip people to lead flourishing lives and help others to do so is now becoming salient in policy-making circles. Philosophy of education can help here by clarifying what flourishing consists in. This essay examines one aspect of this. It rejects the view that well-being goods are derivable from human nature, as in the theories of Howard Gardner and Edmond Holmes. It locates them, rather, as cultural products, but not culturally-relative ones, drawing attention to the proliferating (...)
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  45. 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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  46. (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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  47. Transfer of Personality to Synthetic Human ("mind uploading") and the Social Construction of Identity.John Danaher & Sim Bamford - 2017 - Journal of Consciousness Studies 24 (11-12):6-30.
    Humans have long wondered whether they can survive the death of their physical bodies. Some people now look to technology as a means by which this might occur, using terms such 'whole brain emulation', 'mind uploading', and 'substrate independent minds' to describe a set of hypothetical procedures for transferring or emulating the functioning of a human mind on a synthetic substrate. There has been much debate about the philosophical implications of such procedures for personal survival. Most participants to that debate (...)
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  48. Counterfactuals cannot count: A rejoinder to David Chalmers.John Mark Bishop - 2002 - Consciousness and Cognition 11 (4):642-652.
    The initial argument presented herein is not significantly original—it is a simple reflection upon a notion of computation originally developed by Putnam and criticised by Chalmers et al. . In what follows, instead of seeking to justify Putnam’s conclusion that every open system implements every Finite State Automaton and hence that psychological states of the brain cannot be functional states of a computer, I will establish the weaker result that, over a finite time window every open system implements the trace (...)
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  49. Perceptual causality problems reflexively resolved.John Dilworth - 2005 - Acta Analytica 20 (3):11-31.
    Causal theories of perception typically have problems in explaining deviant causal chains. They also have difficulty with other unusual putative cases of perception involving prosthetic aids, defective perception, scientifically extended cases of perception, and so on. But I show how a more adequate reflexive causal theory, in which objects or properties X cause a perceiver to acquire X-related dispositions toward that very same item X, can provide a plausible and principled perceptual explanation of all of these kinds of cases. A (...)
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  50. The reflexive theory of perception.John Dilworth - 2005 - Behavior and Philosophy 33 (1):17-40.
    ABSTRACT: The Reflexive Theory of Perception (RTP) claims that perception of an object or property X by an organism Z consists in Z being caused by X to acquire some disposition D toward X itself. This broadly behavioral perceptual theory explains perceptual intentionality and correct versus incorrect, plus successful versus unsuccessful, perception in a plausible evolutionary framework. The theory also undermines cognitive and perceptual modularity assumptions, including informational or purely epistemic views of perception in that, according to the RTP, any (...)
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