Results for 'Grim Reaper paradox'

999 found
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  1. Grim Reaper Paradoxes and Patchwork Principles: Severing the Case for Finitism.Troy Dana & Joseph C. Schmid - forthcoming - Journal of Philosophy.
    Benardete paradoxes involve infinite collections of Grim Reapers, assassins, demons, deafening peals, or even sentences. These paradoxes have recently been used in arguments for finitist metaphysical theses such as temporal finitism, causal finitism, and discrete views of time. Here we develop a new finite Benardete-like paradox. We then use this paradox to defend a companions in guilt argument that challenges recent applications of patchwork principles on behalf of the aforementioned finitist arguments. Finally, we develop another problem for (...)
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  2. The End is Near: Grim Reapers and Endless Futures.Joseph C. Schmid - forthcoming - Mind.
    José Benardete developed a famous paradox involving a beginningless set of items each member of which satisfies some predicate just in case no earlier member satisfies it. The Grim Reaper version of this paradox has recently been employed in favor of various finitist metaphysical theses, ranging from temporal finitism to causal finitism to the discrete nature of time. Here, I examine a new challenge to these finitist arguments—namely, the challenge of implying that the future cannot be (...)
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  3. An Eternal Society Paradox.Wade A. Tisthammer - 2020 - Aporia 30 (1):49-58.
    An eternal society with the abilities of ordinary humans in each year of its existence would have had the ability to actualize a logical contradiction. This fact casts doubt on the metaphysical possibility of an infinite past. In addition to using this paradox in an argument against an infinite past, one can also use the paradox mutatis mutandis as a decisive argument against the sempiternality of God.
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  4. An inexplicably good argument for causal finitism.Ibrahim Dagher - 2023 - International Journal for Philosophy of Religion 94 (2):199-211.
    Causal finitism, the view that the causal history of any event must be finite, has garnered much philosophical interest recently—especially because of its applicability to the Kalām cosmological argument. The most prominent argument for causal finitism is the Grim Reaper argument, which attempts to show that, if infinite causal histories are possible, then other paradoxical states of affairs must also be possible. However, this style of argument has been criticized on the grounds of (i) relying on controversial modal (...)
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  5. Truth, omniscience, and the knower.Patrick Grim - 1988 - Philosophical Studies 54 (1):9 - 41.
    Let us sum up. The paradox of the Knower poses a direct and formal challenge to the coherence of common notions of knowledge and truth. We've considered a number of ways one might try to meet that challenge: propositional views of truth and knowledge, redundancy or operator views, and appeal to hierarchy of various sorts. Mere appeal to propositions or operators, however, seems to be inadequate to the task of the Knower, at least if unsupplemented by an auxiliary recourse (...)
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  6. Operators in the paradox of the knower.Patrick Grim - 1993 - Synthese 94 (3):409 - 428.
    Predicates are term-to-sentence devices, and operators are sentence-to-sentence devices. What Kaplan and Montague's Paradox of the Knower demonstrates is that necessity and other modalities cannot be treated as predicates, consistent with arithmetic; they must be treated as operators instead. Such is the current wisdom.A number of previous pieces have challenged such a view by showing that a predicative treatment of modalities neednot raise the Paradox of the Knower. This paper attempts to challenge the current wisdom in another way (...)
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  7. Is this a swizzle stick which I see before me?Patrick Grim - 1983 - Analysis 43 (4):164-166.
    On swizzle sticks, sorites paradoxes, and precise replacements.
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  8. Some Neglected Problems of Omniscience.Patrick Grim - 1983 - American Philosophical Quarterly 20 (3):265-277.
    One set of neglected problems consists of paradoxes of omniscience clearly recognizable as forms of the Liar, and these I have never seen raised at all. Other neglected problems are difficulties for omniscience posed by recent work on belief de se and essential indexicals. These have not yet been given the attention they deserve.
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  9. Pattern and chaos: New images in the semantics of paradox.Gary Mar & Patrick Grim - 1991 - Noûs 25 (5):659-693.
    Given certain standard assumptions-that particular sentences are meaningful, for example, and do genuinely self-attribute their own falsity-the paradoxes appear to show intriguing patterns of generally unstable semantic behavior. In what follows we want to concentrate on those patterns themselves: the pattern of the Liar, for example, which if assumed either true or false appears to oscillate endlessly between truth and falsehood.
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  10. What Won't Escape Sorites Arguments.Patrick Grim - 1982 - Analysis 42 (1):38-43.
    Problems for 'precise replacements' as a way out of sorites paradoxes.
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  11. Taking sorites arguments seriously: Some hidden costs.Patrick Grim - 1984 - Philosophia 14 (3-4):251-272.
    What I hope to show here is that the costs of taking sorites arguments seriously, in particular the costs with respect to hopes for precise replacement are significantly greater than proponents of sorites arguments have estimated.
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  12. Essential Vagueness: Two Models, One Simple Truth.Patrick Grim - forthcoming - In Ali Abasenezhad & Otavio Bueno (eds.), On the Sorites. Springer.
    What the Sorites has to tell us is a simple truth regarding our categories. It appears to saddle us with something other than a simple truth—something worse, a contradiction or a problem or a paradox—only when we insist on viewing it through a discrete logic of categories. Discrete categories and discrete logic are for robots. We aren’t robots, and the simple truth is that we don’t handle categories in the way any discrete logic would demand. For us non-robots, what (...)
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  13. Grim Variations.Fabio Lampert & John William Waldrop - 2021 - Faith and Philosophy 38 (3):287-301.
    Patrick Grim advances arguments meant to show that the doctrine of divine omniscience—the classical doctrine according to which God knows all truths—is false. In particular, we here have in mind to focus on two such arguments: the set theoretic argument and the semantic argument. These arguments due to Grim run parallel to, respectively, familiar paradoxes in set theory and naive truth theory. It is beyond the purview of this article to adjudicate whether or not these are successful arguments (...)
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  14. Pleased and Afflicted: Hume on the Paradox of Tragic Pleasure.Eva M. Dadlez - 2004 - Hume Studies 30 (2):213-236.
    In lieu of an abstract, here is a brief excerpt of the content:Hume Studies Volume 30, Number 2, November 2004, pp. 213-236 Pleased and Afflicted: Hume on the Paradox of Tragic Pleasure E. M. DADLEZ How fast can you run? As fast as a leopard. How fast are you going to run? A whistle sounds the order that sends Archie Hamilton and his comrades over the top of the trench to certain death. Racing to circumvent that order and arriving (...)
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  15. Branching actualism and cosmological arguments.Joseph C. Schmid & Alex Malpass - 2023 - Philosophical Studies 180 (7):1951-1973.
    We draw out significant consequences of a relatively popular theory of metaphysical modality—branching actualism—for cosmological arguments for God’s existence. According to branching actualism, every possible world shares an initial history with the actual world and diverges only because causal powers (or dispositions, or some such) are differentially exercised. We argue that branching actualism undergirds successful responses to two recent cosmological arguments: the Grim Reaper Kalam argument and a modal argument from contingency. We also argue that branching actualism affords (...)
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  16. Diversity, Ability, and Expertise in Epistemic Communities.Patrick Grim, Daniel J. Singer, Aaron Bramson, Bennett Holman, Sean McGeehan & William J. Berger - 2019 - Philosophy of Science 86 (1):98-123.
    The Hong and Page ‘diversity trumps ability’ result has been used to argue for the more general claim that a diverse set of agents is epistemically superior to a comparable group of experts. Here we extend Hong and Page’s model to landscapes of different degrees of randomness and demonstrate the sensitivity of the ‘diversity trumps ability’ result. This analysis offers a more nuanced picture of how diversity, ability, and expertise may relate. Although models of this sort can indeed be suggestive (...)
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  17. There is no set of all truths.Patrick Grim - 1984 - Analysis 44 (4):206-208.
    A Cantorian argument that there is no set of all truths. There is, for the same reason, no possible world as a maximal set of propositions. And omniscience is logically impossible.
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  18. Scientific Networks on Data Landscapes: Question Difficulty, Epistemic Success, and Convergence.Patrick Grim, Daniel J. Singer, Steven Fisher, Aaron Bramson, William J. Berger, Christopher Reade, Carissa Flocken & Adam Sales - 2013 - Episteme 10 (4):441-464.
    A scientific community can be modeled as a collection of epistemic agents attempting to answer questions, in part by communicating about their hypotheses and results. We can treat the pathways of scientific communication as a network. When we do, it becomes clear that the interaction between the structure of the network and the nature of the question under investigation affects epistemic desiderata, including accuracy and speed to community consensus. Here we build on previous work, both our own and others’, in (...)
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  19. The being that knew too much.Patrick Grim - 2000 - International Journal for Philosophy of Religion 47 (3):141-154.
    John Abbruzzese has recently attempted a defense of omniscience against a series of my attacks. This affords me a welcome occasion to clarify some of the arguments, to pursue some neglected subtleties, and to re-think some important complications. In the end, however, I must insist that at least three of four crucial arguments really do show an omniscient being to be impossible. Abbruzzese sometimes misunderstands the forms of the argument themselves, and quite generally misunderstands their force.
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  20. What is a Contradiction?Patrick Grim - 2004 - In Graham Priest, Jc Beall & Bradley P. Armour-Garb (eds.), The law of non-contradiction : new philosophical essays. New York: Oxford University Press. pp. 49--72.
    The Law of Non-Contradiction holds that both sides of a contradiction cannot be true. Dialetheism is the view that there are contradictions both sides of which are true. Crucial to the dispute, then, is the central notion of contradiction. My first step here is to work toward clarification of that simple and central notion: Just what is a contradiction?
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  21. Representation in Models of Epistemic Democracy.Patrick Grim, Aaron Bramson, Daniel J. Singer, William J. Berger, Jiin Jung & Scott E. Page - 2020 - Episteme 17 (4):498-518.
    Epistemic justifications for democracy have been offered in terms of two different aspects of decision-making: voting and deliberation, or ‘votes’ and ‘talk.’ The Condorcet Jury Theorem is appealed to as a justification in terms votes, and the Hong-Page “Diversity Trumps Ability” result is appealed to as a justification in terms of deliberation. Both of these, however, are most plausibly construed as models of direct democracy, with full and direct participation across the population. In this paper, we explore how these results (...)
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  22. Reducing Prejudice: A Spatialized Game-Theoretic Model for the Contact Hypothesis.Patrick Grim - 2004 - In Jordan Pollack, Mark Bedau, Phil Husbands, Takashi Ikegami & Richard A. Watson (eds.), Artificial Life IX: Proceedings of the Ninth International Conference on Artificial Life. MIT Press. pp. 244-250.
    There are many social psychological theories regarding the nature of prejudice, but only one major theory of prejudice reduction: under the right circumstances, prejudice between groups will be reduced with increased contact. On the one hand, the contact hypothesis has a range of empirical support and has been a major force in social change. On the other hand, there are practical and ethical obstacles to any large-scale controlled test of the hypothesis in which relevant variables can be manipulated. Here we (...)
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  23. Impossibility Arguments.Patrick Grim - 2006 - In Michael Martin (ed.), The Cambridge Companion to Atheism. Cambridge University Press. pp. 199--214.
    Among the most telling atheistic arguments are those to the effect that the existence of any being that meets standard divine specifications is impossible – that there not only is not but could not be any such being.
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  24. Computational Modeling as a Philosophical Methodology.Patrick Grim - 2003 - In Luciano Floridi (ed.), The Blackwell guide to the philosophy of computing and information. Blackwell. pp. 337–349.
    Since the sixties, computational modeling has become increasingly important in both the physical and the social sciences, particularly in physics, theoretical biology, sociology, and economics. Sine the eighties, philosophers too have begun to apply computational modeling to questions in logic, epistemology, philosophy of science, philosophy of mind, philosophy of language, philosophy of biology, ethics, and social and political philosophy. This chapter analyzes a selection of interesting examples in some of those areas.
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  25. Logic and limits of knowledge and truth.Patrick Grim - 1988 - Noûs 22 (3):341-367.
    Though my ultimate concern is with issues in epistemology and metaphysics, let me phrase the central question I will pursue in terms evocative of philosophy of religion: What are the implications of our logic-in particular, of Cantor and G6del-for the possibility of omniscience?
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  26. Against omniscience: The case from essential indexicals.Patrick Grim - 1985 - Noûs 19 (2):151-180.
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  27. Game-Theoretic Robustness in Cooperation and Prejudice Reduction: A Graphic Measure.Patrick Grim - 2006 - In L. M. Rocha, L. S. Yaeger, M. A. Bedeau, D. Floreano, R. L. Goldstone & Alessandro Vespignani (eds.), Artificial Life X. Mit Press (Cambridge). pp. 445-451.
    Talk of ‘robustness’ remains vague, despite the fact that it is clearly an important parameter in evaluating models in general and game-theoretic results in particular. Here we want to make it a bit less vague by offering a graphic measure for a particular kind of robustness— ‘matrix robustness’— using a three dimensional display of the universe of 2 x 2 game theory. In a display of this form, familiar games such as the Prisoner’s Dilemma, Stag Hunt, Chicken and Deadlock appear (...)
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  28. On Sets and Worlds: A Reply to Menzel.Patrick Grim - 1986 - Analysis 46 (4):186 - 191.
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  29. Threshold Phenomena in Epistemic Networks.Patrick Grim - 2006 - In Proceedings, AAAI Fall Symposium on Complex Adaptive Systems and the Threshold Effect. AAAI Press.
    A small consortium of philosophers has begun work on the implications of epistemic networks (Zollman 2008 and forthcoming; Grim 2006, 2007; Weisberg and Muldoon forthcoming), building on theoretical work in economics, computer science, and engineering (Bala and Goyal 1998, Kleinberg 2001; Amaral et. al., 2004) and on some experimental work in social psychology (Mason, Jones, and Goldstone, 2008). This paper outlines core philosophical results and extends those results to the specific question of thresholds. Epistemic maximization of certain types does (...)
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  30. How simulations fail.Patrick Grim, Robert Rosenberger, Adam Rosenfeld, Brian Anderson & Robb E. Eason - 2011 - Synthese 190 (12):2367-2390.
    ‘The problem with simulations is that they are doomed to succeed.’ So runs a common criticism of simulations—that they can be used to ‘prove’ anything and are thus of little or no scientific value. While this particular objection represents a minority view, especially among those who work with simulations in a scientific context, it raises a difficult question: what standards should we use to differentiate a simulation that fails from one that succeeds? In this paper we build on a structural (...)
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  31. Spatialization and Greater Generosity in the Stochastic Prisoner's Dilemma.Patrick Grim - 1996 - Biosystems 37:3-17.
    The iterated Prisoner’s Dilemma has become the standard model for the evolution of cooperative behavior within a community of egoistic agents, frequently cited for implications in both sociology and biology. Due primarily to the work of Axelrod (1980a, 198Ob, 1984, 1985), a strategy of tit for tat (TFT) has established a reputation as being particularly robust. Nowak and Sigmund (1992) have shown, however, that in a world of stochastic error or imperfect communication, it is not TFT that finally triumphs in (...)
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  32. Coherence and correspondence in the network dynamics of belief suites.Patrick Grim, Andrew Modell, Nicholas Breslin, Jasmine Mcnenny, Irina Mondescu, Kyle Finnegan, Robert Olsen, Chanyu An & Alexander Fedder - 2017 - Episteme 14 (2):233-253.
    Coherence and correspondence are classical contenders as theories of truth. In this paper we examine them instead as interacting factors in the dynamics of belief across epistemic networks. We construct an agent-based model of network contact in which agents are characterized not in terms of single beliefs but in terms of internal belief suites. Individuals update elements of their belief suites on input from other agents in order both to maximize internal belief coherence and to incorporate ‘trickled in’ elements of (...)
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  33. On Omniscience and a 'Set of All Truths': A Reply to Bringsjord.Patrick Grim - 1990 - Analysis 50 (4):271 - 276.
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  34. Scientific Theories as Bayesian Nets: Structure and Evidence Sensitivity.Patrick Grim, Frank Seidl, Calum McNamara, Hinton E. Rago, Isabell N. Astor, Caroline Diaso & Peter Ryner - 2022 - Philosophy of Science 89 (1):42-69.
    We model scientific theories as Bayesian networks. Nodes carry credences and function as abstract representations of propositions within the structure. Directed links carry conditional probabilities and represent connections between those propositions. Updating is Bayesian across the network as a whole. The impact of evidence at one point within a scientific theory can have a very different impact on the network than does evidence of the same strength at a different point. A Bayesian model allows us to envisage and analyze the (...)
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  35. Modeling prejudice reduction: Spatialized game theory and the contact hypothesis.Patrick Grim, Evan Selinger, William Braynen, Robert Rosenberger, Randy Au, Nancy Louie & John Connolly - 2005 - Public Affairs Quarterly 19 (2):95-125.
    We apply spatialized game theory and multi-agent computational modeling as philosophical tools: (1) for assessing the primary social psychological hypothesis regarding prejudice reduction, and (2) for pursuing a deeper understanding of the basic mechanisms of prejudice reduction.
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  36. Further Notes on Functions.Patrick Grim - 1977 - Analysis 37 (4):169 - 176.
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  37. A graphic measure for game-theoretic robustness.Randy Au Patrick Grim, Robert Rosenberger Nancy Louie, Evan Selinger William Braynen & E. Eason Robb - 2008 - Synthese 163 (2):273-297.
    Robustness has long been recognized as an important parameter for evaluating game-theoretic results, but talk of ‘robustness’ generally remains vague. What we offer here is a graphic measure for a particular kind of robustness (‘matrix robustness’), using a three-dimensional display of the universe of 2 × 2 game theory. In such a measure specific games appear as specific volumes (Prisoner’s Dilemma, Stag Hunt, etc.), allowing a graphic image of the extent of particular game-theoretic effects in terms of those games. The (...)
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  38. Self-reference and Chaos in Fuzzy Logic.Patrick Grim - 1993 - IEEE Transactions on Fuzzy Systems 1:237-253.
    The purpose of this paper is to open for investigation a range of phenomena familiar from dynamical systems or chaos theory which appear in a simple fuzzy logic with the introduction of self-reference. Within that logic, self-referential sentences exhibit properties of fixed point attractors, fixed point repellers, and full chaos on the [0, 1] interval. Strange attractors and fractals appear in two dimensions in the graphing of pairs of mutually referential sentences and appear in three dimensions in the graphing of (...)
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  39. Evolution of communication in perfect and imperfect worlds.Patrick Grim - 2000 - World Futures 56 (2):179-197.
    We extend previous work on cooperation to some related questions regarding the evolution of simple forms of communication. The evolution of cooperation within the iterated Prisoner's Dilemma has been shown to follow different patterns, with significantly different outcomes, depending on whether the features of the model are classically perfect or stochastically imperfect (Axelrod 1980a, 1980b, 1984, 1985; Axelrod and Hamilton, 1981; Nowak and Sigmund, 1990, 1992; Sigmund 1993). Our results here show that the same holds for communication. Within a simple (...)
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  40. Boom and Bust: Environmental Variability Favors the Emergence of Communication.Patrick Grim & Trina Kokalis - 2004 - In Jordan Pollack, Mark Bedau, Phil Husbands, Takashi Ikegami & Richard A. Watson (eds.), Artificial Life IX: Proceedings of the Ninth International Conference on Artificial Life. MIT Press. pp. 164-170.
    Environmental variability has been proposed as an important mechanism in behavioral psychology, in ecology and evolution, and in cultural anthropology. Here we demonstrate its importance in simulational studies as well. In earlier work we have shown the emergence of communication in a spatialized environment of wandering food sources and predators, using a variety of mechanisms for strategy change: imitation (Grim, Kokalis, Tafti & Kilb 2000), localized genetic algorithm (Grim, Kokalis, Tafti & Kilb 2001), and partial training of neural (...)
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  41. Worlds by supervenience: Some further problems.Patrick Grim - 1997 - Analysis 57 (2):146-51.
    Allen s has proposed a new approach to possible worlds, designed explicitly to overcome Cantorian difficulties for possible worlds construed as maximal consistent set of propositions. I emphasize some of the distinctive features of Hazenworlds, some of their weaknesses, and some further Cantorian problems for worlds against which they seem powerless.
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  42. What You Believe Travels Differently: Information and Infection Dynamics Across Sub-Networks.Patrick Grim, Christopher Reade, Daniel J. Singer, Stephen Fisher & Stephen Majewicz - 2010 - Connections 30:50-63.
    In order to understand the transmission of a disease across a population we will have to understand not only the dynamics of contact infection but the transfer of health-care beliefs and resulting health-care behaviors across that population. This paper is a first step in that direction, focusing on the contrasting role of linkage or isolation between sub-networks in (a) contact infection and (b) belief transfer. Using both analytical tools and agent-based simulations we show that it is the structure of a (...)
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  43. How Modeling Can Go Wrong: Some Cautions and Caveats on the Use of Models.Patrick Grim & Nicholas Rescher - 2013 - Philosophy and Technology 26 (1):75-80.
    Modeling and simulation clearly have an upside. My discussion here will deal with the inevitable downside of modeling — the sort of things that can go wrong. It will set out a taxonomy for the pathology of models — a catalogue of the various ways in which model contrivance can go awry. In the course of that discussion, I also call on some of my past experience with models and their vulnerabilities.
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  44. Gremlins Revenged.Patrick Grim & Robert Brecher - 1984 - Philosophical Studies (Dublin) 30:165-176.
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  45. Learning to Communicate: The Emergence of Signaling in Spatialized Arrays of Neural Nets.Patrick Grim, Trina Kokalis & Paul St Denis - 2003 - Adaptive Behavior 10:45-70.
    We work with a large spatialized array of individuals in an environment of drifting food sources and predators. The behavior of each individual is generated by its simple neural net; individuals are capable of making one of two sounds and are capable of responding to sounds from their immediate neighbors by opening their mouths or hiding. An individual whose mouth is open in the presence of food is “fed” and gains points; an individual who fails to hide when a predator (...)
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  46. In behalf of 'in behalf of the fool'.Patrick Grim - 1982 - International Journal for Philosophy of Religion 13 (1):33 - 42.
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  47. Free Will in Context.Patrick Grim - 2007 - Behavioral Science and the Law 25:183-201.
    Philosophical work on free will, contemporary as well as historical, is inevitably framed by the problem of free will and determinism. One of my goals in what follows is to give a feel for the main lines of that debate in philosophy today. I will also be outlining a particular perspective on free will. Many working philosophers consider themselves Compatibilists; the perspective outlined, building on a number of arguments in the recent literature, is a contemporary form of such a view. (...)
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  48. Germs, Genes, and Memes: Functional and Fitness Dynamics on Information Networks.Patrick Grim, Daniel J. Singer, Christopher Reade & Stephen Fisher - 2015 - Philosophy of Science 82 (2):219-243.
    It is widely accepted that the way information transfers across networks depends importantly on the structure of the network. Here, we show that the mechanism of information transfer is crucial: in many respects the effect of the specific transfer mechanism swamps network effects. Results are demonstrated in terms of three different types of transfer mechanism: germs, genes, and memes. With an emphasis on the specific case of transfer between sub-networks, we explore both the dynamics of each of these across networks (...)
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  49. Modeling Interaction Effects in Polarization: Individual Media Influence and the Impact of Town Meetings.Patrick Grim, Eric Pulick, Patrick Korth & Jiin Jung - 2016 - Journal of Artificial Societies and Social Simulation 10 (2).
    We are increasingly exposed to polarized media sources, with clear evidence that individuals choose those sources closest to their existing views. We also have a tradition of open face-to-face group discussion in town meetings, for example. There are a range of current proposals to revive the role of group meetings in democratic decision-making. Here, we build a simulation that instantiates aspects of reinforcement theory in a model of competing social influences. What can we expect in the interaction of polarized media (...)
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  50. Against a Deontic Argument for God's Existence.Patrick Grim - 1982 - Analysis 42 (3):171-174.
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