Results for 'Schwarzschild solution'

972 found
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  1. An Alternative to the Schwarzschild solution of GTR.Andrew Thomas Holster - manuscript
    The Schwarzschild solution (Schwarzschild, 1915/16) to Einstein’s General Theory of Relativity (GTR) is accepted in theoretical physics as the unique solution to GTR for a central-mass system. In this paper I propose an alternative solution to GTR, and argue it is both logically consistent and empirically realistic as a theory of gravity. This solution is here called K-gravity. The introduction explains the basic concept. The central sections go through the technical detail, defining the basic (...)
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  2. Light and Clock Behavior in the Space Generation Model of Gravitation.Richard Benish - 2008 - Apeiron: Studies in Infinite Nature 15 (3):222.
    General Relativity’s Schwarzschild solution describes a spherically symmetric gravitational field as an utterly static thing. The Space Generation Model describes it as an absolutely moving thing. The light propagation time-delay experiment of Shapiro-Reasenberg [1] and the falling atomic clock experiment of Vessot-Levine [2] provide the ideal context for illustrating how, though the respective world views implied by these models are radically di fferent, they make nearly the same prediction for the results of these experiments.
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  3. Colombeau Solutions to Einstein Field Equations in General Relativity: Gravitational Singularities, Distributional SAdS BH Spacetime-Induced Vacuum Dominance.Jaykov Foukzon (ed.) - 2019 - India . United Kingdom: Book Publisher International.
    This book deals with Colombeau solutions to Einstein field equations in general relativity: Gravitational singularities, distributional SAdS BH spacetime-induced vacuum dominance. This book covers key areas of Colombeau nonlinear generalized functions, distributional Riemannian, geometry, distributional schwarzschild geometry, Schwarzschild singularity, Schwarzschild horizon, smooth regularization, nonsmooth regularization, quantum fields, curved spacetime, vacuum fluctuations, vacuum dominance etc. This book contains various materials suitable for students, researchers and academicians of this area.
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  4. Scrutiny of Droste’s Original Solution (1917).Mohamed Elmansour Hassani - manuscript
    In 1916, Johannes Droste independently found an exact (vacuum) solution to the Einstein's (gravitational) field equations in empty space. Droste's solution is quasi-comparable to Schwarzschild's one . Droste published his paper entitled “The field of a single centre in Einstein's theory of gravitation, and the motion of a particle in that fieldˮ. The paper communicated (in the meeting of May 27, 1916) by Prof. H.A. Lorentz, and published in ʻProceedings of the Royal Netherlands Academy of Arts and (...)
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  5. Geometric model of gravity, counterfactual solar mass, and the Pioneer anomalies.Andrew Holster - manuscript
    This study analyses the predictions of the General Theory of Relativity (GTR) against a slightly modified version of the standard central mass solution (Schwarzschild solution). It is applied to central gravity in the solar system, the Pioneer spacecraft anomalies (which GTR fails to predict correctly), and planetary orbit distances and times, etc (where GTR is thought consistent.) -/- The modified gravity equation was motivated by a theory originally called ‘TFP’ (Time Flow Physics, 2004). This is now replaced (...)
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  6. A reinterpretation of the cosmological vacuum.Thomas Schürmann - manuscript
    In this paper, we make a proposal for addressing the cosmological constant problem. Our approach will be based on a reinterpretation of two non-standard de Sitter solutions given by the Einstein vacuum equations with Λ>0. As a first result, we derive an uncertainty principle for both variants of the de Sitter space (Theorem). Subsequently, a decomposition of the cosmological constant in a pair of time-dependent pieces is introduced (Corollary). The time-dependence of the corresponding energy and dark energy density is discussed (...)
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  7. Distributional SAdS BH Spacetime-Induced Vacuum Dominance.Jaykov Foukzon - 2016 - Journal of Advances in Mathematics and Computer Science 13 (6):1-54.
    This paper dealing with extension of the Einstein eld equations using apparatus of contemporary generalization of the classical Lorentzian geometry named in literature Colombeau distributional geometry, see for example [1], [2], [3], [4], [5], [6], [7] and [32]. The regularizations of singularities presented in some solutions of the Einstein equations is an important part of this approach. Any singularities present in some solutions of the Einstein equations recognized only in the sense of Colombeau generalized functions [1], [2] and not classically. (...)
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  8. The Language of Indrajit of Orchā. A Study of Early Braj Bhāṣā ProseThe Language of Indrajit of Orcha. A Study of Early Braj Bhasa Prose.L. A. Schwarzschild & R. S. McGregor - 1969 - Journal of the American Oriental Society 89 (3):636.
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  9.  44
    A Solution to the Problem of Singular Propositions and Non-Present Objects.Thomas Ridout - 2024 - Dissertation, University of Toronto at Scarborough
    In this paper, I propose a solution to the problem of singular propositions and non-present objects within the view of presentism- that is, how can we refer to past objects if presentism claims only objects in the present exist and that objects outside of the present do not exist, if an object does not exist, how can we refer to it? I will propose that past objects which once did exist have had a lasting effect on the present which (...)
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  10.  69
    Which is better for the Earth: Nature-based versus human-made solution?Minh-Hoang Nguyen, Viet-Phuong La & Quan-Hoang Vuong - manuscript
    As global warming is gradually pushing the Earth to the climate tipping point, the reduction of CO2 concentration in the atmosphere has become more urgent than ever. Many high-tech methods, such as Carbon Capture and Storage (CCS) technologies, have been proposed as crucial tools in the fight against climate change. However, this paper argues that the expensiveness and uncertainty of CCS technologies make them not feasibly deployed. Persistent investment in these technologies also reinforces the outdated eco-deficit mindset that prioritizes monetary (...)
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  11. Solutions to the Knower Paradox in the Light of Haack’s Criteria.Mirjam de Vos, Rineke Verbrugge & Barteld Kooi - 2023 - Journal of Philosophical Logic 52 (4):1101-1132.
    The knower paradox states that the statement ‘We know that this statement is false’ leads to inconsistency. This article presents a fresh look at this paradox and some well-known solutions from the literature. Paul Égré discusses three possible solutions that modal provability logic provides for the paradox by surveying and comparing three different provability interpretations of modality, originally described by Skyrms, Anderson, and Solovay. In this article, some background is explained to clarify Égré’s solutions, all three of which hinge on (...)
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  12. A solution to Goodman's paradox.Paul Franceschi - 2001 - Dialogue 40:99-123.
    English translation of a paper intially publisdhed in French in Dialogue under the title 'Une solution pour le paradoxe de Goodman'. In the classical version of Goodman's paradox, the universe where the problem takes place is ambiguous. The conditions of induction being accurately described, I define then a framework of n-universes, allowing the distinction, among the criteria of a given n-universe, between constants and variables. Within this framework, I distinguish between two versions of the problem, respectively taking place: (i) (...)
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  13. Numerical solution of master equation corresponding to Schumann waves.Florentin Smarandache - manuscript
    Following a hypothesis by Marciak-Kozlowska, 2011, we consider one-dimensional Schumann wave transfer phenomena. Numerical solution of that equation was obtained by the help of Mathematica.
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  14. A solution to Frege's puzzle.George Bealer - 1993 - Philosophical Perspectives 7:17-60.
    This paper provides a new approach to a family of outstanding logical and semantical puzzles, the most famous being Frege's puzzle. The three main reductionist theories of propositions (the possible-worlds theory, the propositional-function theory, the propositional-complex theory) are shown to be vulnerable to Benacerraf-style problems, difficulties involving modality, and other problems. The nonreductionist algebraic theory avoids these problems and allows us to identify the elusive nondescriptive, non-metalinguistic, necessary propositions responsible for the indicated family of puzzles. The algebraic approach is also (...)
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  15. Genealogical Solutions to the Problem of Critical Distance: Political Theory, Contextualism and the Case of Punishment in Transitional Scenarios.Francesco Testini - 2022 - Res Publica 28 (2):271-301.
    In this paper, I argue that one approach to normative political theory, namely contextualism, can benefit from a specific kind of historical inquiry, namely genealogy, because the latter provides a solution to a deep-seated problem for the former. This problem consists in a lack of critical distance and originates from the justificatory role that contextualist approaches attribute to contextual facts. I compare two approaches to genealogical reconstruction, namely the historiographical method pioneered by Foucault and the hybrid method of pragmatic (...)
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  16. That solution to Prior’s puzzle.Hüseyin Güngör - 2022 - Philosophical Studies 179 (9):2765-2785.
    Prior's puzzle is a puzzle about the substitution of certain putatively synonymous or coreferential expressions in sentences. Prior's puzzle is important, because a satisfactory solution to it should constitute a crucial part of an adequate semantic theory for both proposition-embedding expressions and attitudinal verbs. I argue that two recent solutions to this puzzle are unsatisfactory. They either focus on the meaning of attitudinal verbs or content nouns. I propose a solution relying on a recent analysis of that-clauses in (...)
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  17. A Solution to the Fundamental Philosophical Problem of Christology.Timothy Pawl - 2014 - Journal of Analytic Theology 2:61-85.
    I consider the fundamental philosophical problem for Christology: how can one and the same person, the Second Person of the Trinity, be both God and man. For being God implies having certain attributes, perhaps immutability, or impassibility, whereas being human implies having apparently inconsistent attributes. This problem is especially vexing for the proponent of Conciliar Christology – the Christology taught in the Ecumenical Councils – since those councils affirm that Christ is both mutable and immutable, both passible and impassible, etc. (...)
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  18. Is there a conservative solution to the many thinkers problem?David Mark Kovacs - 2010 - Ratio 23 (3):275-290.
    On a widely shared assumption, our mental states supervene on our microphysical properties – that is, microphysical supervenience is true. When this thesis is combined with the apparent truism that human persons have proper parts, a grave difficulty arises: what prevents some of these proper parts from being themselves thinkers as well? How can I know that I am a human person and not a smaller thinker enclosed in a human person? Most solutions to this puzzle make radical, if not (...)
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  19.  91
    Brentano’s Solution To Bertrand’s Paradox.Nicholas Shackel - 2024 - Revue Roumaine de Philosophie 68 (1):161-168.
    Brentano never published on Bertrand’s paradox but claimed to have a solution. Adrian Maître has recovered from the Franz Brentano Archive Brentano’s remarks on his solution. They do not give us a worked demonstration of his solution but only an incomplete and in places obscure justification of it. Here I attempt to identify his solution, to explain what seem to me the clearly discernible parts of his justification and to discuss the extent to which the justification (...)
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  20. A solution to the many attitudes problem.Bob Beddor - 2020 - Philosophical Studies 177 (9):2789-2813.
    According to noncognitivism, normative beliefs are just desire-like attitudes. While noncognitivists have devoted great effort to explaining the nature of normative belief, they have said little about all of the other attitudes we take towards normative matters. Many of us desire to do the right thing. We sometimes wonder whether our conduct is morally permissible; we hope that it is, and occasionally fear that it is not. This gives rise to what Schroeder calls the 'Many Attitudes Problem': the problem of (...)
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  21. A solution to Karttunen's Problem.Matthew Mandelkern - 2018 - In Rob Truswell, Chris Cummins, Caroline Heycock, Brian Rabern & Hannah Rohde (eds.), Proceedings of Sinn und Bedeutung 21. Semantics Archives.
    There is a difference between the conditions in which one can felicitously assert a ‘must’-claim versus those in which one can use the corresponding non-modal claim. But it is difficult to pin down just what this difference amounts to. And it is even harder to account for this difference, since assertions of 'Must ϕ' and assertions of ϕ alone seem to have the same basic goal: namely, coming to agreement that [[ϕ]] is true. In this paper I take on this (...)
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  22. (1 other version)Contextualist Solutions to Three Puzzles about Practical Conditionals.Janice Dowell, J. L. - 2009 - In Russ Shafer-Landau (ed.), Oxford Studies in Metaethics: Volume Four. Oxford University Press.
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  23. Solution to the Mind-Body Relation Problem: Information.Florin Gaiseanu - 2021 - Philosophy Study 11 (1):42-55.
    In this paper it is analyzed from the informational perspective the relation between mind and body, an ancient philosophic issue defined as a problem, which still did not receive up to date an adequate solution. By introducing/using the concept of information, it is shown that this concept includes two facets, one of them referring to the common communications and another one referring to a hidden/structuring matter-related information, effectively acting in the human body and in the living systems, which determines (...)
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  24. A Modal Solution to the Problem of Moral Luck.Rik Peels - 2015 - American Philosophical Quarterly 52 (1):73-88.
    In this article I provide and defend a solution to the problem of moral luck. The problem of moral luck is that there is a set of three theses about luck and moral blameworthiness each of which is at least prima facie plausible, but that, it seems, cannot all be true. The theses are that (1) one cannot be blamed for what happens beyond one’s control, (2) that which is due to luck is beyond one’s control, and (3) we (...)
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  25. A new statistical solution to the generality problem.Samuel Kampa - 2018 - Episteme 15 (2):228-244.
    The Generality Problem is widely recognized to be a serious problem for reliabilist theories of justification. James R. Beebe's Statistical Solution is one of only a handful of attempted solutions that has garnered serious attention in the literature. In their recent response to Beebe, Julien Dutant and Erik J. Olsson successfully refute Beebe's Statistical Solution. This paper presents a New Statistical Solution that countenances Dutant and Olsson's objections, dodges the serious problems that trouble rival solutions, and retains (...)
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  26. The key to the solution of the world crisis we face.Nicholas Maxwell - 2021 - Human Affairs 31 (1):21-39.
    Humanity faces two fundamental problems of learning: learning about the universe, and learning to become civilized. We have solved the first problem, but not the second one, and that puts us in a situation of great danger. Almost all of our global problems have arisen as a result. It has become a matter of extreme urgency to solve the second problem. The key to this is to learn from our solution to the first problem how to solve the second (...)
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  27. Numerical solution for solving procedure for 3D motions near libration points in the Circular Restricted Three Body Problem (CR3BP).Victor Christianto & Florentin Smarandache - manuscript
    In a recent paper in Astrophysics and Space Science Vol. 364 no. 11 (2019), S. Ershkov & D. Leschenko presented a new solving procedure for Euler-Poisson equations for solving momentum equations of the CR3BP near libration points for uniformly rotating planets having inclined orbits in the solar system with respect to the orbit of the Earth. The system of equations of the CR3BP has been explored with regard to the existence of an analytic way of presentation of the approximated (...) in the vicinity of libration points. A new and elegant ansatz has been suggested in their publication whereby, in solving, the momentum equation is reduced to a system two coupled Riccati ODEs. In this paper, we presented a numerical solution of such coupled Riccati ODEs using Mathematica software package. (shrink)
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  28. Solution of System of Symbolic 2-Plithogenic Linear Equations using Cramer's Rule.P. Prabakaran & Florentin Smarandache - 2023 - Neutrosophic Sets and Systems 59.
    In this article, the concept of system of symbolic 2-plithogenic linear equations and its solutions are introduced and studied. The Cramer's rule was applied to solve the system of symbolic 2-plithogenic linear equations. Also, provided enough examples for each case to enhance understanding.
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  29. Justifying Nature-based Solutions.Kate Nicole Hoffman - 2023 - Biology and Philosophy 38 (5):1-15.
    Nature-based solutions (NbS) have in recent years occupied a central position in conservation and climate discussions among both scientists and policy makers. NbS generally refer to a set of strategies which use nature, or natural objects, to address societal (human) issues while simultaneously supporting the broader environment. This paper examines the concept of NbS to determine whether it is a useful and well-motivated category to guide future climate and conservation efforts. I argue that NbS may in fact be a valuable (...)
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  30. Perennial Idealism: A Mystical Solution to the Mind-Body Problem.Miri Albahari - 2019 - Philosophers' Imprint 19.
    Each well-known proposed solution to the mind-body problem encounters an impasse. These take the form of an explanatory gap, such as the one between mental and physical, or between micro-subjects and macro-subject. The dialectical pressure to bridge these gaps is generating positions in which consciousness is becoming increasingly foundational. The most recent of these, cosmopsychism, typically casts the entire cosmos as a perspectival subject whose mind grounds those of more limited subjects like ourselves. I review the dialectic from materialism (...)
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  31. (1 other version)A cheap solution to Laura Valentini’s ideal theory paradox?Terence Rajivan Edward - manuscript
    This paper offers a cheap solution to Laura Valentini’s paradox of ideal theory. An ideal theory cannot be sound by definition, since in the relevant sense of “ideal theory” it involves false propositions.
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  32. Ontological Solutions to the Problem of Induction.Mohammad Mahdi Hatef - 2022 - Logos and Episteme 13 (1):65-74.
    The idea of the uniformity of nature, as a solution to the problem of induction, has at least two contemporary versions: natural kinds and natural necessity. Then there are at least three alternative ontological ideas addressing the problem of induction. In this paper, I articulate how these ideas are used to justify the practice of inductive inference, and compare them, in terms of their applicability, to see whether each of them is preferred in addressing the problem of induction. Given (...)
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  33. Navigating the Ethical Landscape of Artificial Intelligence: Challenges and Solutions.Alaa N. Akkila, Mohammed A. Alkahlout, Suheir H. ALmurshid, Alaa Soliman Abu Mettleq, Basem S. Abunasser & Samy S. Abu-Naser - 2024 - International Journal of Engineering and Information Systems (IJEAIS) 8 (8):68-73.
    Abstract: As artificial intelligence (AI) technologies become increasingly integrated into various sectors, ethical considerations surrounding their development and deployment have become paramount. This paper explores the multifaceted ethical landscape of AI, focusing on key challenges such as bias, transparency, privacy, and accountability. It examines how these issues manifest in AI systems and their impact on society. The paper also evaluates current approaches and solutions aimed at mitigating these ethical concerns, including regulatory frameworks, ethical guidelines, and best practices for AI design. (...)
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  34. solutions in the origins of Math.Paul Bali - manuscript
    i. a poetic solution of the Goldbach Conjecture; ii. several responses to the Epimenides Paradox; iii. the volitional solution to Russell's Paradox.
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  35. The flowchart solution to the all-or-nothing problem.Terence Rajivan Edward - manuscript
    This paper presents what I call “the flowchart solution” to Joe Horton’s all-or-nothing problem. Rather than three options – don’t save any child, save one, or save two – there is a flowchart with a choice of don’t save or save, and then within save, save one or save two.
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  36. A Kantian Solution to the Trolley Problem.Pauline Kleingeld - 2020 - Oxford Studies in Normative Ethics 10:204-228.
    This chapter proposes a solution to the Trolley Problem in terms of the Kantian prohibition on using a person ‘merely as a means.’ A solution of this type seems impossible due to the difficulties it is widely thought to encounter in the scenario known as the Loop case. The chapter offers a conception of ‘using merely as a means’ that explains the morally relevant difference between the classic Bystander and Footbridge cases. It then shows, contrary to the standard (...)
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  37. 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 Russellian appeal (...)
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  38. A solution to Elizabeth Colson’s paradox of anthropological empathy.Terence Rajivan Edward - manuscript
    This paper presents a relativistic interpretation of Elizabeth Colson's paradox of empathy and a solution.
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  39. The Solution to the Real Blackmail Paradox: The Common Link Between Blackmail and Other Criminal Threats.Ken Levy - 2007 - Connecticut Law Review 39:1051-1096.
    Disclosure of true but reputation-damaging information is generally legal. But threats to disclose true but reputation-damaging information unless payment is made are generally criminal. Many scholars think that this situation is paradoxical because it seems to involve illegality mysteriously arising out of legality, a criminal act mysteriously arising out of an independently legal threat to disclose conjoined with an independently legal demand for money. -/- But this formulation is not quite right. The real paradox raised by the different legal statuses (...)
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  40. Immaterialist solutions to puzzles in personal ontology.Kristin Seemuth Whaley - 2017 - Dissertation, University of Illinois at Urbana-Champaign
    What are we? Despite much discussion in historical and contemporary philosophy, we have not yet settled on an answer. A satisfactory personal ontology, an account of our metaphysical nature, will be informed by issues in the metaphysics of material objects. In the dissertation, I target two prominent materialist ontologies: animalism, the view that we are numerically identical to human organisms, and constitutionalism, the view that we are constituted by, but not identical to, human organisms. Because of the problems that arise (...)
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  41. An object-centric solution to Edelberg's puzzles of intentional identity.Eugene Ho - 2022 - Synthese 200 (5):364.
    My belief that Socrates was wise, and your belief that Socrates was mortal can be said to have a common focus, insofar as both these thoughts are about Socrates. In Peter Geach’s terminology, the objects of our beliefs bear the feature of intentional identity, because our beliefs share the same putative target. But what if it turned out that Socrates never existed? Can a pair of thoughts share a common focus if the object both thoughts are about, does not actually, (...)
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  42. A new solution to the gamer’s dilemma.Rami Ali - 2015 - Ethics and Information Technology 17 (4):267-274.
    Luck (2009) argues that gamers face a dilemma when it comes to performing certain virtual acts. Most gamers regularly commit acts of virtual murder, and take these acts to be morally permissible. They are permissible because unlike real murder, no one is harmed in performing them; their only victims are computer-controlled characters, and such characters are not moral patients. What Luck points out is that this justification equally applies to virtual pedophelia, but gamers intuitively think that such acts are not (...)
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  43. Unespected Solution For The Epimenides Paradox (2nd edition).Luigi Tellini - manuscript
    This article discusses the logic of the Epimenides Paradox using a graphical representation of the logical operators involved. The graphical representation of the Logical Operators is the one used in digital electronics. This method of investigation is very effective in revealing the hidden error in the reasoning that leads to the contradiction. The article explains the vicious circle that the mind goes through when trying to analyze the Paradox. Finally, the article proposes a solution of the Paradox with final (...)
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  44. McClennen’s Early Cooperative Solution to the Prisoner’s Dilemma.Duncan MacIntosh - 1991 - Southern Journal of Philosophy 29 (3):341-358.
    This paper reviews six attempts to give cooperative solutions to Prisoners Dilemmas: symmetry (agents are in identical situations, so should choose the same way, so should both choose cooperation because that’s better for each), mechanism (each agent should delegate the decision to a machine which will choose cooperation for them provided the other does likewise), inducement (the agents should make a side bet which pays off only upon both cooperating), resolution (each agent should resolve to cooperate, then act on the (...)
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  45. Solutions to some philosophical problems of consciousness.J. H. Van Hateren - manuscript
    A recently developed computational and neurobiological theory of phenomenal consciousness is applied to a series of persistent philosophical problems of consciousness (in recent formulations by Tye, Searle, and Chalmers). Each problem has a clear solution according to this theory, as is briefly explained here. A slightly modified version of this paper can be found as Chapter 16 ('Philosophical problems of consciousness') in my book 'The estimator theory of life and mind: how agency and consciousness can emerge', see VANTET-8 at (...)
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  46. The Soft-Line Solution to Pereboom's Four-Case Argument.Kristin Mickelson - 2010 - Australasian Journal of Philosophy 88 (4):595-617.
    Derk Pereboom's Four-Case Argument is among the most famous and resilient manipulation arguments against compatibilism. I contend that its resilience is not a function of the argument's soundness but, rather, the ill-gotten gain from an ambiguity in the description of the causal relations found in the argument's foundational case. I expose this crucial ambiguity and suggest that a dilemma faces anyone hoping to resolve it. After a thorough search for an interpretation which avoids both horns of this dilemma, I conclude (...)
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  47. A grounding solution to the grounding problem.Noël B. Saenz - 2015 - Philosophical Studies 172 (8):2193-2214.
    The statue and the lump of clay that constitutes it fail to share all of their kind and modal properties. Therefore, by Leibniz’s Law, the statue is not the lump. Question: What grounds the kind and modal differences between the statue and the lump? In virtue of what is it that the lump of clay, but not the statue, can survive being smashed? This is the grounding problem. Now a number of solutions to the grounding problem require that we substantially (...)
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  48. The Solution to the Sorites Paradox.Andrew Boucher - manuscript
    The solution to the Sorites Paradox is discussed.
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  49. A solution to a Victorian anthropology paradox.Terence Rajivan Edward - manuscript
    This paper considers a paradox which the historian of anthropology George Stocking draws attention to: from the point of view of parts of the Victorian middle class, Victorian society was highly evolved yet also contained savage components. I clarify the paradox and propose a solution.
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  50. A compensatory solution to the all-or-nothing problem.Terence Rajivan Edward - manuscript
    The all-or-nothing problem, formulated by Joe Horton, presents us with a situation in which you can do nothing or save one child or save two. It is dangerous to save any, making doing nothing morally permissible, but there is no extra danger in saving two, so it seems wrong to just save one. But then doing nothing is morally better than saving one. I present a solution in response to this problematic result, which is that doing nothing is not (...)
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