Motivated by problems that arise in computing degrees of belief, we consider the problem of computing asymptotic conditional probabilities for first-order sentences. Given first-order sentences φ and θ, we consider the structures with domain {1,..., N} that satisfy θ, and compute the fraction of them in which φ is true. We then consider what happens to this fraction as N gets large. This extends the work on 0-1 laws that considers the limiting probability of first-order sentences, by considering asymptotic conditional (...) probabilities. As shown by Liogon'kii [24], if there is a non-unary predicate symbol in the vocabulary, asymptotic conditional probabilities do not always exist. We extend this result to show that asymptotic conditional probabilities do not always exist for any reasonable notion of limit. Liogon'kii also showed that the problem of deciding whether the limit exists is undecidable. We analyze the complexity of three problems with respect to this limit: deciding whether it is well-defined, whether it exists, and whether it lies in some nontrivial interval. Matching upper and lower bounds are given for all three problems, showing them to be highly undecidable. (shrink)
The need for conceptual work in marketing ethics is addressed by examining the five techniques of neutralization as a means for partially explaining unethical behaviors by marketing practitioners. These techniques are often used by individuals to lessen the possible impact of norm-violating behaviors upon their self-concept and their social relationships. Borrowed from the social disorganization and deviance literature, the five techniques of neutralization are: (1) denial of responsibility, (2) denial of injury, (3) denial of victim, (4) condemning the condemners and (...) (5) appeal to higher loyalties. Examples of marketing professionals using each of the five techniques are given, and a conceptual model linking the techniques of neutralization with unethical behavior is presented. Finally, relevant research questions are offered for consideration. (shrink)
In earlier papers (Lindstrrm & Rabinowicz, 1989. 1990), we proposed a generalization of the AGM approach to belief revision. Our proposal was to view belief revision as a relation rather thanas a function on theories (or belief sets). The idea was to allow for there being several equally reasonable revisions of a theory with a given proposition. In the present paper, we show that the relational approach is the natural result of generalizing in a certain way an approach to belief (...) revision due to AdamGrove. In his (1988) paper, Grove presents two closely related modelings of functional belief revision, one in terms of a family of "spheres" around the agent's theory G and the other in terms of an epistemic entrenchment ordering of propositions. The "sphere"-terminology is natural when one looks upon theories and propositions as being represented by sets of possible worlds. Grove's spheres may be thought of as possible "fallback" theories relative to the agent's original theory: theories that he may reach by deleting propositions that are not "sufficiently" entrenched (according to standards of sufficient entrenchment of varying stringency). To put it differently, fallbacks are theories that are closed upwards under entrenchment The entrenchment ordering can be recovered from the family of fallbacks by the definition: A is at least as entrenched as B iff A belongs to every fallback to which B belongs. To revise a theory T with a proposition A, we go to the smallest sphere that contain A-worlds and intersect it with A. The relational notion of belief revision that we are interested in, results from weakening epistemic entrenchment by not assuming it to be connected. I.e., we want to allow that some propositions may be incomparable with respect to epistemic entrenchment. As a result, the family of fallbacks around a given theory will no longer have to be nested. This change opens up the possibility for several different ways of revising a theory with a given proposition. (shrink)
This is a short version of Lindström & Rabinowicz 1991.In earlier papers, we proposed a generalization of the AGM approach to belief revision. The proposal was to view belief revision as a relation rather than as a function on theories (or belief sets). Going relational means that one allows for several equally reasonable revisions of a theory with a given proposition. In the present paper, we show that the relational approach is the natural result of generalizing in a certain way (...) an approach to belief revision due to AdamGrove. In his (1988) paper, Grove presented two closely related modelings of functional belief revision, one in terms of a family of "spheres" around the agent's theory G and the other in terms of an epistemic entrenchment ordering of propositions. The "sphere"-terminology is natural when one looks upon theories and propositions as sets of possible worlds. Grove's spheres may be thought of as possible "fallback" theories relative to the agent's original theory: theories that he may reach by deleting propositions that are not "sufficiently" entrenched (according to standards of sufficient entrenchment of varying stringency). The entrenchment ordering can be recovered from the family of fallbacks by the definition: A is at least as entrenched as B iff A belongs to every fallback to which B belongs. To revise a theory T with a proposition A, we go to the smallest sphere that contain A-worlds and intersect it with A. The relational notion of belief revision that we are interested in, results if one allows that some propositions may be incomparable with respect to epistemic entrenchment. As a result, the family of fallbacks around a given theory will no longer have to be nested. This change opens up the possibility for several different ways of revising a theory with a given proposition. (shrink)
In contrast to many of his contemporaries, A. J. Ayer was an analytic philosopher who had sustained throughout his career some interest in developments in the work of his ‘continental’ peers. Ayer, who spoke French, held friendships with some important Parisian intellectuals, such as Camus, Bataille, Wahl and Merleau-Ponty. This paper examines the circumstances of a meeting between Ayer, Merleau-Ponty, Wahl, Ambrosino and Bataille, which took place in 1951 at some Parisian bar. The question under discussion during this meeting was (...) whether the sun existed before humans did, over which the various philosophers disagreed. This disagreement is tangled with a variety of issues, such as Ayer’s critique of Heidegger and Sartre (inherited from Carnap), Ayer’s response to Merleau-Ponty’s critique of empiricism, and Bataille’s response to Sartre’s critique of his notion of ‘unknowing’, which uncannily resembles Ayer’s critique of Sartre. Amidst this tangle one finds Bataille’s statement that an ‘abyss’ separates English from French and German philosophy, the first recorded announcement of the analytic-continental divide in the twentieth century. References H. B. Acton. Philosophy in France. Philosophy, 22(82):161-166, 1947. http://dx.doi.org/10.1017/S0031819100025365 A. J. Ayer & T. Honderich. An Interview with A. J. Ayer. In A. P. Griffiths, editor, A.J. Ayer Memorial Essays, pages 209-226. Cambridge, Cambridge University Press, 1991. A. J. Ayer. Language, Truth and Logic. London, Gollancz, 1936. A. J. Ayer. Novelist-Philosopher, Jean-Paul Sartre. Horizon, 12(67):12–26, & 12(68):101-110, 1945. A. J. Ayer. Novelist-Philosopher, Albert Camus. Horizon, 13(75):155-168, 1946a. A. J. Ayer. Secret Session. Polemic, 2:60-63, 1946b. A. J. Ayer. Some Aspects of Existentialism. In F. Watts, editor, H. B. Acton. Philosophy in France. Philosophy, 22(82):161-166, 1947. http://dx.doi.org/10.1017/S0031819100025365 A. J. Ayer & T. Honderich. An Interview with A. J. Ayer. In A. P. Griffiths, editor, A.J. Ayer Memorial Essays, pages 209-226. Cambridge, Cambridge University Press, 1991. A. J. Ayer. Language, Truth and Logic. London, Gollancz, 1936. A. J. Ayer. Novelist-Philosopher, Jean-Paul Sartre. Horizon, 12(67):12–26, & 12(68):101-110, 1945. A. J. Ayer. Novelist-Philosopher, Albert Camus. Horizon, 13(75): 155-168, 1946a. A. J. Ayer. Secret Session. Polemic, 2:60-63, 1946b. A. J. Ayer. Some Aspects of Existentialism. In F. Watts, editor, The Rationalist Annual, pages 5-13. London, Watts & Co, 1948. A. J. Ayer. The Definition of Liberty: Jean-Paul Sartre’s Doctrine of Commitment. The Listener, 44(1135):633-634, 1950. A. J. Ayer. Jean-Paul Sartre. Encounter, 15(4):75-77, 1961. A. J. Ayer. On Existentialism. Modern Languages, 48(1):1-12, 1967. A. J. Ayer. Sartre on the Jews. The Spectator, 211(7317):394-395, 1968. A. J. Ayer. Reflections on Existentialism. In Metaphysics and Common Sense, pages 203-218. London, Macmillan,1969. A. J. Ayer. Part of my Life: The Memoirs of a Philosopher. New York, Harcourt Brace Janovich, 1977. A. J. Ayer. Philosophy in the Twentieth Century. London, Unwinn, 1984. A. J. Ayer. A Defence of Empiricism. In A. P. Griffiths, editor, A.J. Ayer Memorial Essays, pages 1-16. Cambridge, Cambridge University Press, 1991. G. Bataille. Un-knowing and its Consequences. A. Michelson, translator, October, 36:80-85, 1986. G. Bataille. On Nietzsche. B. Boone, translator. London, Continuum, 2004. G. Bataille, I. Waldberg, & R. Lebel, editors, Encyclopaedia Acephalica. (I. White, D. Faccini, A. Michelson, J. Harman, A. Lykiard, et al., translators.) London, Atlas Press, 1995. I. Berlin. Review of My Philosophy (And other Essays on the Moral and Political Problems of our Time) by Benedetto Croce. Mind, 61(244):574-584, 1952. T. Carman. Continental Themes in Analytic Philosophy. In C. V. Boundas, editor, Columbia Companion to Twentieth-Century Philosophies, pages 351-366. New York, Columbia University Press, 2007. R. Carnap. The Elimination Of Metaphysics Through Logical Analysis of Language (A. Pap, translator). In A. J. Ayer, editor, Logical Positivism, pages 60-81. Glencoe, IL, The Free Press, 1959. J. Chase & J. Reynolds. Analytic versus Continental: Arguments on the Methods and Value of Philosophy. Durham, Acumen, 2010. S. Collini. Absent Minds: Intellectuals in Britain. Oxford: Oxford University Press, 2006. S. Critchley. Very Short Introduction to Continental Philosophy. Oxford, Oxford University Press, 2001. H. J. Dahms. Neue Sachlichkeit in the Architecture and Philosophy of the 1920s. In S. Awodey & C. Klein, editors, Carnap Brought Home: The View From Jena, pages 357-376. Chicago, Open Court, 2004. P. J. R. Dempsey. The Psychology of Sartre. Cork, Cork University Press,1950. V. Descombes. Modern French Philosophy. Cambridge, Cambridge University Press, 1980. B. Flynn. Merleau-Ponty. In E. N. Zalta, editor, The Stanford Encyclopedia of Philosophy, , 2004. M. Friedman. A Parting of the Ways: Carnap, Cassirer, and Heidegger. Chicago, Open Court, 2000. G. Gabriel. Carnap’s “Elimination of Metaphysics Through the Logical Analysis of Language:” A Retrospective Consideration of the Relationship between Continental and Analytic Philosophy. In P. Parrini, W. C. Salmon, & M. H. Salmon, editors, Logical Empiricism: Historical and Contemporary Perspectives, pages 30-42. Pittsburgh, University of Pittsburgh Press, 2003. P. Galison. Constructing Modernism: The Cultural Location of Aufbau. In R. N. Giere, A. Richardson, editors, Origins of Logical Empiricism, pages 17-44. Minneapolis, University of Minnesota, 1996. S. Glendinning. In the Name of Phenomenology. London, Routledge, 2007. Gary Gutting. Continental Philosophy of Science. Oxford, Blackwell, 2005. M. Hammond, J. Howarth, & R. Kent. Understanding Phenomenology. Oxford, Blackwell, 1995. M. Heidegger. Kant and the Problem of Metaphysics. R. Taft, translator. Bloomington: Indiana University Press, 1997. M. Heidegger. Pathmarks. W. MacNeil, editor. Cambridge, Cambridge University Press, 1998. J. M. Heimonet. Bataille and Sartre: The Modernity of Mysticism. Diacritics, 26(2):59-73, 1996. http://dx.doi.org/10.1353/dia.1996.0016 J. Himanka. Does the Earth Move?: A Search for a Dialogue Between Two Traditions of Contemporary Philosophy. The Philosophical Forum, 31(1):57-83, 2000. http://dx.doi.org/10.1111/0031-806X.00028 A. M. Hollywood. The Philosopher – Sartre – and Me. In Sensible Ecstasy: Mysticism, Sexual Difference and the Demands of History, pages 25-36. Chigago, University of Chicago Press, 2002. T. E. Hulme. A Note-Book. The New Age, 18(8):186-189, 1915. T. E. Hulme. A Note-Book. The New Age, 18(10):234-236, 1916. S. P. James. Merleau-Ponty, Metaphysical Realism and the Natural World. International Journal of Philosophical Studies, 15(4): 501-519, 2007. S. Käufer. Logic. In H. Dreyfus & M. Wrathall, editors, A Companion to Heidegger, pages 141-155. Oxford, Blackwell, 2005. E. W. Knight. Literature Considered as Philosophy: The French Example. New York, Macmillan, 1958. C. A. Mace. Review of The Psychology of Sartre by Peter J. R. Dempsey. Mind, 61(243):425-427, 1952. B. Magee. Men of Ideas: Some Creators of Contemporary Philosophy. Oxford, Oxford University Press, 1982. A. R. Manser. Sartre and "Le Néant." Philosophy, 36(137):177-187, 1961. http://dx.doi.org/10.1017/S0031819100058022 M. Martin. Sensible Appearances. In T. Baldwin, editor, The Cambridge History of Philosophy, 1870-1945, pages 521-532. Cambridge, Cambridge University Press, 2003. http://dx.doi.org/10.1017/CHOL9780521591041.044 PMid:14585038 F. Maubert. Francis Bacon, sa dernière interview: “Je poursois le peinture car je sais qu’il n’est pas possible de l’arreter.” Paris-Match, 2242:92-93, 1992. J. M. E. McTaggart. The Unreality of Time. Mind, 17:457-474, 1908. http://dx.doi.org/10.1093/mind/XVII.4.457 M. Merleau-Ponty. Phenomenology of Perception. C. Smith, translator. London, Routledge, 2002. M. Merleau-Ponty. Texts and Dialogues: On Philosophy, Politics, and Culture. H. J. Silverman, editor (M. B. Smith, et al., translators). New York: Humanity Books, 2005. M. Merleau-Ponty & T. Baldwin. Maurice Merleau-Ponty. London, Routledge, 2004. H. Meyerhoff. Emotive and Existentialist Theories of Ethics. The Journal of Philosophy, 48(25):769-783, 1951. http://dx.doi.org/10.2307/2021208 I. Murdoch. Sartre, Romantic Rationalist. Cambridge, Bowes and Bowes, 1953. I. Murdoch. The Idea of Perfection. In The Sovereignty of Good, pages 1-44. London, Routledge, 2001. A. Oliver. A Few More Remarks on Logical Form. Proceedings of the Aristotelian Society, 99:247-272, 1999. A. Plantinga. An Existentialist’s Ethics. Review of Metaphysics, 12(2):235-56, 1958. S. Priest. Merleau-Ponty. New York, Routledge, 2003. W. V. Quine. Word and Object. M.I.T. Press, Cambridge, MA, 1960. A. Quinton. Which Philosophy is Modernistic? In Thoughts and Thinkers, pages 39-51. New York, Holmes and Meier, 1982. J. Rée. English Philosophy in the Fifties. Radical Philosophy, 65:3-21, 1993. S. Richmond. Sartre and Bergson: A Disagreement about Nothingness. International Journal of Philosophical Studies, 15(1):77-95, 2007. http://dx.doi.org/10.1080/09672550601143201 B. Rogers. Ayer: A Life. New York, Grove Press, 2002. K. Romdenh-Romluc. Merleau-Ponty and Phenomenology of Perception. London, Routledge, 2009. G. E. Rosado Haddock. The Young Carnap’s Unknown Master: Husserl's Influence on Der Raum and Der logische Aufbau der Welt. Aldershot, Ashgate, 2008. B. Russell. Nightmares of Eminent Persons And Other Stories. London, The Bodley Head, 1954. G. Ryle, H. A. Hodges, & H. B. Acton. Symposium: Phenomenology. Proceedings of the Aristotelian Society, 11:68-115, 1932. G. Ryle. Phenomenology vs. The Concept of Mind. In Collected Papers: Critical Essays, Vol. 1, pages 179-196. London, Hutchinson, 1971. J. P. Sartre. Un nouveau mystique. In Critiques littéraires (Situations I), pages 174-229. Paris, Gallimard, 1975. J. Skorupski. The Presidential Address: The Legacy of Modernism. Proceedings of the Aristotelian Society, 91:1-19, 1990. A. Stone. Heidegger and Carnap on the Overcoming of Metaphysics. In S. Mulhall editor, Martin Heidegger, pages 217-244. Aldershot, Ashgate, 2006. M. Surya, K.Fijalkowski, & M. Richardson. Georges Bataille: An Intellectual Biography. K. Fijalkowski & M. Richardson, translators. London, Verso, 2002. C. Taylor, & Alfred J. Ayer. Symposium: Phenomenology and Linguistic Analysis. Proceedings of the Aristotelian Society, Supplementary Volumes, 33:93-124, 1959. N. Trakakis. Meta-philosophy of Religion: The Analytic-Continental Divide in Philosophy of Religion. Ars Disputandi, 7, 2007. J. Wahl. The Pluralist Philosophies of England and America. F. Rothwell, translator. London, The Open Court Company, 1925. J. Wahl. Vers le Concret. Paris, Vrin, 1932. J. Wahl. Nietzsche et la mort de dieu: note a propos du “Nietzsche” de Jaspers. Acéphale, 2:22-24, 1937. I. Waldberg & Patrick Waldberg. Un Amour Acéphale, Correspondence 1940-49. Paris, Editions de la Différence, 1992. M. Warnock. The Philosophy of Sartre. London, Hutchinson, 1965. D. Wiggins. Truth, Invention, and the Meaning of Life. In G. Sayre-McCord, editor, Essays on Moral Realism, pages 127-65. Ithaca, Cornell University Press, 1988. C. Wilson. The Outsider. London, Gollancz, 1956. D. Zahavi. Phenomenology and Metaphysics. In D. Zahavi, S. Heinämaa, & H. Ruin, editors, Metaphysics, Facticity, Interpretation: Phenomenology in the Nordic Countries, pages 3-22. Dordrecht, Kluwer, 2003. (shrink)
The problems that surround iterated contractions and expansions of beliefs are approached by studying hypertheories, a generalisation of AdamGrove's notion of systems of spheres. By using a language with dynamic and doxastic operators different ideas about the basic nature of belief change are axiomatised. It is shown that by imposing quite natural constraints on how hypertheories may change, the basic logics for belief change can be strengthened considerably to bring one closer to a theory of iterated belief (...) change. It is then argued that the logic of expansion, in particular, cannot without loss of generality be strengthened any further to allow for a full logic of iterated belief change. To remedy this situation a notion of directed expansion is introduced that allows for a full logic of iterated belief change. The new operation is given an axiomatisation that is complete for linear hypertheories. (shrink)
Preface -- Foreword -- First talk in the Oak Grove -- Second talk in the Oak Grove -- Third talk in the Oak Grove -- Fourth talk in the Oak Grove -- Fifth talk in the Oak Grove -- Sixth talk in the Oak Grove -- Seventh talk in the Oak Grove -- Eighth talk in the Oak Grove.
An assertion of high conditional probability or, more briefly, an HCP assertion is a statement of the type: The conditional probability of B given A is close to one. The goal of this paper is to construct logics of HCP assertions whose conclusions are highly likely to be correct rather than certain to be correct. Such logics would allow useful conclusions to be drawn when the premises are not strong enough to allow conclusions to be reached with certainty. This goal (...) is achieved by taking Adams" (1966) logic, changing its intended application from conditionals to HCP assertions, and then weakening its criterion for entailment. According to the weakened entailment criterion, called the Criterion of Near Surety and which may be loosely interpreted as a Bayesian criterion, a conclusion is entailed if and only if nearly every model of the premises is a model of the conclusion. The resulting logic, called NSL, is nonmonotonic. Entailment in this logic, although not as strict as entailment in Adams" logic, is more strict than entailment in the propositional logic of material conditionals. Next, NSL was modified by requiring that each HCP assertion be scaled; this means that to each HCP assertion was associated a bound on the deviation from 1 of the conditional probability that is the subject of the assertion. Scaling of HCP assertions is useful for breaking entailment deadlocks. For example, it it is known that the conditional probabilities of C given A and of ¬ C given B are both close to one but the bound on the former"s deviation from 1 is much smaller than the latter"s, then it may be concluded that in all likelihood the conditional probability of C given A B is close to one. The resulting logic, called NSL-S, is also nonmonotonic. Despite great differences in their definitions of entailment, entailment in NSL is equivalent to Lehmann and Magidor"s rational closure and, disregarding minor differences concerning which premise sets are considered consistent, entailment in NSL-S is equivalent to entailment in Goldszmidt and Pearl"s System-Z +. Bacchus, Grove, Halpern, and Koller proposed two methods of developing a predicate calculus based on the Criterion of Near Surety. In their random-structures method, which assumed a prior distribution similar to that of NSL, it appears possible to define an entailment relation equivalent to that of NSL. In their random-worlds method, which assumed a prior distribution dramatically different from that of NSL, it is known that the entailment relation is different from that of NSL. (shrink)
The CDC's HIV screening recommendations for health care settings advocate abandoning two important autonomy protections: (1) pretest counseling and (2) the requirement that providers obtain affirmative agreement from patients prior to testing. The recommendations may violate the least infringement principle because there is insufficient evidence to conclude that abandoning pretest counseling or affirmative agreement requirements will further the CDC's stated public health goals.
