We relate the theory of presupposition accommodation to a computational framework for reasoning in conversation. We understand presuppositions as private commitments the speaker makes in using an utterance but expects the listener to recognize based on mutual information. On this understanding, the conversation can move forward not just through the positive effects of interlocutors’ utterances but also from the retrospective insight interlocutors gain about one anothers’ mental states from observing what they do. Our title, ENLIGHTENED UPDATE, highlights such cases. Our (...) approach fleshes out two key principles: that interpretation is a form of intention recognition; and that intentions are complex informational structures, which specify commitments to conditions and to outcomes as well as to actions. We present a formalization and implementation of these principles for a simple conversational agent, and draw on this case study to argue that pragmatic reasoning is holistic in character, continuous with common-sense reasoning about collaborative activities, and most effectively characterized by associating specific, reliable interpretive constraints directly with grammatical forms. In showing how to make such claims precise and to develop theories that respect them, we illustrate the general place of computation in the cognitive science of language. (shrink)
This paper develops a general approach to contextual reasoning in natural language processing. Drawing on the view of natural language interpretation as abduction (Hobbs et al., 1993), we propose that interpretation provides an explanation of how an utterance creates a new discourse context in which its interpreted content is both true and promi- nent. Our framework uses dynamic theories of semantics and pragmatics, formal theories of context, and models of attentional state. We describe and illustrate a Prolog implementation.
Recent, well-publicized scandals, involving unethical conduct have rekindled interest in academic misconduct. Prior studies of academic misconduct have focussed exclusively on situational factors (e.g., integrity culture, honor codes), demographic variables or personality constructs. We contend that it is important to also examine how␣these classes of variables interact to influence perceptions of and intentions relating to academic misconduct. In a sample of 217 business students, we examined how integrity culture interacts with Prudence and Adjustment to explain variance in estimated frequency of (...) cheating, suspicions of cheating, considering cheating and reporting cheating. Age, integrity culture, and personality variables were significantly related to different criteria. Overall, personality variables explained the most unique variance in academic misconduct, and Adjustment interacted with integrity culture, such that integrity culture had more influence on intentions to cheat for less well-adjusted individuals. Implications for practice are discussed and future research directions are offered. (shrink)
We use a dynamic, context-sensitive approach to abductive interpretation to describe coordinated processes of understanding, generation and accommodation in dialogue. The agent updates the dialogue uniformly for its own and its interlocutors’ utterances, by accommodating a new context, inferred abductively, in which utterance content is both true and prominent. The generator plans natural and comprehensible utterances by exploiting the same abductive preferences used in understanding. We illustrate our approach by formalizing and implementing some interactions between information structure and the form (...) of referring expressions. (shrink)
The commonplace view about metaphorical interpretation is that it can be characterized in traditional semantic and pragmatic terms, thereby assimilating metaphor to other familiar uses of language. We will reject this view, and propose in its place the view that, though metaphors can issue in distinctive cognitive and discourse effects, they do so without issuing in metaphorical meaning and truth, and so, without metaphorical communication. Our inspiration derives from Donald Davidson’s critical arguments against metaphorical meaning and Richard Rorty’s exploration of (...) the diverse uses of language. But unlike these authors we ground our discussion squarely in distinctions about causal mechanisms in cooperative activity developed by H.P. Grice and others. (shrink)
The Principle of Credulity: 'It is basic to human knowledge of the world that we believe things are as they seem to be in the absence of positive evidence to the contrary' [Swinburne 1996: 133]. This underlies the Evidential Problem of Evil, which goes roughly like this: ‘There appears to be a lot of suffering, both animal and human, that does not result in an equal or greater utility. So there's probably some pointless suffering. As God's existence precludes pointless suffering, (...) theism is implausible.’ CORNEA is the principle that observation O raises hypothesis H's probability only if O is more probable given H than it is given not-H. Theists sometimes maintain that apparently pointless suffering is just as likely given theism as atheism (I support this claim by appealing to a Lewisian account of the relevant counterfactuals). Given CORNEA, therefore, what we see of suffering does not make theism unlikely. I maintain that a consequence of so deploying CORNEA is that CORNEA and the Principle of Credulity are incompatible. We are left with a skeptical paradox. CORNEA is a consequence of Bayes’s Theorem, I argue; but it is incompatible with a presupposition of empirical science, namely, that appearances create epistemic warrant, ceteris paribus. External-world probability skepticism follows. I treat the paradox as real. First, I offer an account of how we strike a balance in practice between CORNEA, on the one hand, and the Principle of Credulity and the scientific enterprise on the other. Second, I try to resolve the paradox outright by rejecting the Principle of Credulity and maintaining that the scientific project remains well motivated even allowing probability skepticism. On either response to the paradox, the Evidential Problem of Evil continues to have serious, but defeasible, force against theism. (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. 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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)
From time to time, Peter H. Hare emphatically reminded me he was drawn to William James as a philosopher, not just a stylist. While Peter1 was throughout his life appreciative of James's efforts to articulate an ethics of belief (see, e.g., Hare 2003), he was skeptical of them in the context of religion. He felt compelled to hound the gods and their defenders (Hare and Madden 1969). Even so, the ethics of belief outlined and partly filled in by James provided (...) Peter with crucial insights for developing a distinctive form of responsibilism2 (Hare 2003, 240).3In addition to the ethics of belief, James's reconstruction of experience provided, Peter argued, an invaluable resource for mounting an effective defense of .. (shrink)
Offering clear and reliable guidance to the ideas of philosophers from antiquity to the present day and to the major philosophical systems around the globe, he Oxford Companion to Philosophy is the definitive philosophical reference work for readers at all levels. For ten years the original volume has served as a stimulating introduction for general readers and as an indispensable guide for students and scholars. A distinguished international assembly of 249 philosophers contributed almost 2,000 entries, and many of these have (...) now been considerably revised and updated in this major new edition; to these are added over 300 brand-new pieces on a fascinating range of current topics such as animal consciousness, cloning, corporate responsibility, the family, globalization, terrorism . Here is, indeed, a world of thought, with entries on idealism and empiricism, epicureanism and stoicism, passion and emotion, deism and pantheism. The contributors represent a veritable who's who of modern philosophy, including such eminent figures as Isaiah Berlin, Sissela Bok, Ronald Dworkin, John Searle, Michael Walzer, and W. V. Quine. We meet the great thinkers--from Aristotle and Plato, to Augustine and Aquinas, to Descartes and Kant, to Nietzsche and Schopenhauer, right up to contemporary thinkers such as Richard Rorty, Jacques Derrida, Luce Iragaray, and Noam Chomsky. There are short entries on key concepts such as personal identity and the mind-body problem, major doctrines from utilitarianism to Marxism, schools of thought such as the Heidelberg School or the Vienna Circle, and contentious public issues such as abortion, capital punishment, and welfare. In addition, the book offers short explanations of philosophical terms (qualia, supervenience, iff), puzzles (the Achilles paradox, the prisoner's dilemma), and curiosities (the philosopher's stone, slime). Almost every entry is accompanied by suggestions for further reading, and the book includes both a chronological chart of the history of philosophy and a gallery of portraits of eighty eminent philosophers. An indispensable guide and a constant source of stimulation and enlightenment, The Oxford Companion to Philosophy will appeal to everyone interested in abstract thought, the eternal questions, and the foundations of human understanding. (shrink)
In this note we introduce the variety $${{\mathcal C}{\mathcal D}{\mathcal M}_\square}$$ of classical modal De Morgan algebras as a generalization of the variety $${{{\mathcal T}{\mathcal M}{\mathcal A}}}$$ of Tetravalent Modal algebras studied in [ 11 ]. We show that the variety $${{\mathcal V}_0}$$ defined by H. P. Sankappanavar in [ 13 ], and the variety S of Involutive Stone algebras introduced by R. Cignoli and M. S de Gallego in [ 5 ], are examples of classical modal De Morgan (...) algebras. We give a representation theory, and we study the regular filters, i.e., lattice filters closed under an implication operation. Finally we prove that the variety $${{{\mathcal T}{\mathcal M}{\mathcal A}}}$$ has the Amalgamation Property and the Superamalgamation Property. (shrink)
We agree with Caplan & Waters that there are problems with the single-resource theory of sentence comprehension. However, we challenge their dual-resource alternative on theoretical and empirical grounds and point to a more coherent solution that abandons the notion of working memory resources.
October 13, 2006 This is the handout for an invited commentary on Richmond H. Thomason, Matthew Stone, and David DeVault, “Enlightened Update: A Computational..
In the sixth century BCE Ionian philosophers explained the sun as a mass of fire, sometimes as floating like a leaf or a cloud above the earth. It was thought to be fueled by moist vapors from the earth. In the f i f t h century philosophers typically envisaged the sun as a red-hot stone or a molten mass carried around by the force of a cosmic vortex. The decisive shift in explanations seems to result from the cosmology (...) of Parmenides, who recognized that the moon received its light from the sun, and hence inferred that the heavenly bodies were spherical solid bodies. The new theory required a new account of how the sun came to be hot. The sun was said to be heated either by being in a fiery region or by friction. The discovery of a large meteorite seemed to confirm the fifth-century theory. (shrink)
The longstanding interest in business ethics has been given renewed emphasis by high profile scandals in the world of business and finance. At the same time, many economists--dissatisfied with the discipline's emphasis on self-interest and individualism and by the asocial nature of much economic theory--have sought to englarge the scope of economics by looking at ethical questions. In Ethics and Economic Affairs a group of interdisciplinary scholars provide contributions on international interest in this aspect of socio-economics and economic-psychology. The book (...) is divided into four parts. The first looks at Business Ethics and Management. Part Two enlivens the debate with empirical data. The third part examines the implications for economic theory and asks if the integration of ethics in the economy is possible or if they are fundamentally different systems. Part Four introduces perspectives from other disciplines, sets economics within its wider context and looks to the future. The editors have brought together a group of contributors from nine different countries and a broad range of disciplines, including: Norman E. Bowie, Monroe Burk, Amitai Etzioni, Richard H. Guerette, Ralph E. Miner, Lynne M. Rosansky, N. Craig Smith, Roberts Stallaerts, Philip Stone and John Tomer. (shrink)
Let B be a superatomic Boolean algebra (BA). The rank of B (rk(B)), is defined to be the Cantor Bendixon rank of the Stone space of B. If a ∈ B - {0}, then the rank of a in B (rk(a)), is defined to be the rank of the Boolean algebra $B b \upharpoonright a \overset{\mathrm{def}}{=} \{b \in B: b \leq a\}$ . The rank of 0 B is defined to be -1. An element a ∈ B - {0} (...) is a generalized atom $(a \in \widehat{At}(B))$ , if the last nonzero cardinal in the cardinal sequence of B $\upharpoonright$ a is 1. Let a,b $\in\widehat{At}$ (B). We denote a ∼ b, if rk(a) = rk(b) = rk(a · b). A subset H $\subseteq \widehat{At}$ (B) is a complete set of representatives (CSR) for B, if for every a $\in \widehat{At}$ (B) there is a unique h ∈ H such that h ∼ a. Any CSR for B generates B. We say that B is canonically well-generated (CWG), if it has a CSR H such that the sublattice of B generated by H is well-founded. We say that B is well-generated, if it has a well-founded sublattice L such that L generates B. THEOREM 1. Let B be a Boolean algebra with cardinal sequence $\langle\aleph_0: i . If B is CWG, then every subalgebra of B is CWG. A superatomic Boolean algebra B is essentially low (ESL), if it has a countable ideal I such that rk(B/I) ≤ 1. Theorem 1 follows from Theorem 2.9, which is the main result of this work. For an ESL BA B we define a set F B of partial functions from a certain countably infinite set to ω (Definition 2.8). Theorem 2.9 says that if B is an ESL Boolean algebra, then the following are equivalent. (1) Every subalgebra of B is CWG; and (2) F B is bounded. THEOREM 2. If an ESL Boolean algebra is not CWG, then it has a subalgebra which is not well-generated. (shrink)
Stone, J. Thoughts on supposed "Death of law".--Krishna Iyer, V. R. Jurisprudence and jurisconscience.--Sharma, G. S. Law and social change in India.--Sharma, S. D. The concept of justice in Manu.--Chand, H. Legal values for a developing country.--Ramarao, T. S. The new international law relating to the rights and duties of States.--Sinha, B. S. Custom and customary law in Indian jurisprudence.--Mazumdar, D. L. Techno-economic structure of our industrial society.--Subrahamanian, N. Law and social change.
The foundations of law. The digest title, De diversis regulis iuris antiqui, and the general principles of law, by P. Stein. Equity in Chinese customary law, by W. Y. Tsao. Prolegomena to the theory and history of Jewish law, by H. Cohn. Juridical evolution and equity, by J.P. Brutau. Reflections on the sources of the law, by P. Lepaulle. The true nature and province of jurisprudence from the viewpoint of Indian philosophy, by M.J. Sethna. On the functions and aims of (...) the state, by G. Del Veccchio.--Concepts of jurisprudence. Legal language and reality, by K. Olivecrona. The logic of the reasonable as differentiated from the logic of the rational (human reason in the making and the interpretation of the law) by L. Recaséns-Siches. Some refections on status and freedom, by W.G. Friedmann. Law and power and their correlation, by M. Reale. The notion of canonical auctoritas with respect to statute, custom and usage, by B.F. Brown. Two theories of "the institution," by J. Stone. (shrink)
This paper is a contribution toward developing a theory of expansions of semi-Heyting algebras. It grew out of an attempt to settle a conjecture we had made in 1987. Firstly, we unify and extend strikingly similar results of [ 48 ] and [ 50 ] to the (new) equational class DHMSH of dually hemimorphic semi-Heyting algebras, or to its subvariety BDQDSH of blended dual quasi-De Morgan semi-Heyting algebras, thus settling the conjecture. Secondly, we give a criterion for a unary expansion (...) of semi-Heyting algebras to be a discriminator variety and give an algorithm to produce discriminator varieties. We then apply the criterion to exhibit an increasing sequence of discriminator subvarieties of BDQDSH . We also use it to prove that the variety DQSSH of dually quasi-Stone semi- Heyting algebras is a discriminator variety. Thirdly, we investigate a binary expansion of semi-Heyting algebras, namely the variety DblSH of double semi-Heyting algebras by characterizing its simples, and use the characterization to present an increasing sequence of discriminator subvarieties of DblSH . Finally, we apply these results to give bases for “small” subvarieties of BDQDSH , DQSSH , and DblSH. (shrink)
Good chefs know the importance of maintaining sharp knives in the kitchen. What’s their secret? A well-worn Taoist allegory offers some advice. The king asks about his butcher’s impressive knifework. “Ordinary butchers,” he replied “hack their way through the animal. Thus their knife always needs sharpening. My father taught me the Taoist way. I merely lay the knife by the natural openings and let it find its own way through. Thus it never needs sharpening” (Kahn 1995, vii; see also Watson (...) 2003, 46). Plato famously employed this image as an analogy for the reality of his Forms (Phaedrus, 265e). Just like an animal, the world comes pre-divided for us. Ideally, our best theories will be those which “carve nature at its joints”. While Plato employed the “carving” metaphor to convey his views about the reality of his celebrated Forms, its most common contemporary use involves the success of science -- particularly, its success in identifying distinct kinds of things. Scientists often report discovering new kinds of things -- a new species of mammal or novel kind of fundamental particle, for example -- or uncovering more information about already familiar kinds. Moreover, we often notice considerable overlap in different approaches to classification. As Ernst Mayr put it: No naturalist would question the reality of the species he may find in his garden, whether it is a catbird, chickadee, robin, or starling. And the same is true for trees or flowering plants. Species at a given locality are almost invariably separated from each other by a distinct gap. Nothing convinced me so fully of the reality of species as the observation . . . that the Stone Age natives in the mountains of New Guinea recognize as species exactly the same entities of nature as a western scientist. (Mayr 1987, 146) Such agreement is certainly suggestive. It suggests that taxonomies are discoveries rather than mere inventions. Couple this with their utility in scientific inference and explanation and we have compelling reason for accepting the objective, independent reality of many different natural kinds of things.. (shrink)
As a spiritual or meditative practice solitude implies more than mere silence or being alone. While these are perhaps indispensablecomponents, it is possible to be alone or to live in silence and nevertheless be unable to reconfigure these into genuine solitude. Solitude is also more than being in some remote or inaccessible place. Even though geographical isolation might be conducive to solitude, with rare exceptions human beings have seldom sought solitude in complete seclusion in the wilderness. The places where human (...) beings have sought solitude have in the end been human places, human-built places. It should come as no surprise then that through architecture humans beings have sought to build solitude, to construct, through stone and glass and wooden structures, placesthat are conducive to and encourage solitude. Such structures include individual hermitages, monasteries, temples, and even cathedrals. In each case the purpose is to translate or reconfigure a natural geographical place into a space, a human space, where solitude as a spiritual or meditative practice becomes possible. What the individual sojourner brings to the experience is an inner openness to the architecture, to the natural environment and to the spiritual realm which interweave to create solitude. This paper examines (1) the spiritual need to experience solitude, (2) what it is that solitude requires, and (3) the endeavor to create solitudethrough architecture and the challenges it poses to both architecture and spiritual practice. In particular the paper explores and compares solitude’s architectural expression in three Medieval Christian monastic orders—the Camaldolese Order, the Carthusian Order, and the Cistercian Order. Despite their common heritage these orders realize solitude, as an essential spiritual value, through unique architectural expressions. (shrink)
Context: On 12 November 2010, Ernst von Glasersfeld passed away. He was one of the most important, if not the most important, proponents of constructivist philosophy. Problem: In his life Ernst influenced many other scientists and philosophers. By whom was he himself influenced; who shaped his intellectual development? By collecting contributions from those who knew him closely or have an excellent understanding of radical constructvism we aim at presenting a cartography of the past and current state of affairs of radical (...) constructivism. These contributions should also shed light on the question of the legacy that Ernst leaves behind. Method: Some 25 authors accepted our invitation to contribute to this commemorative issue. Some texts are reminiscence essays expressing their friendship with Ernst, others are academic papers that investigate Ernst’s influence in various disciplines. Two contributions Ernst von Glasersfeld authored himself. Results: Ernst von Glasersfeld is described as an intellectual mentor for many of his students. His legacy is alive in many disciplines ranging from education science to linguistics. Implications: Ernst’s impact on mathematics education is described in some detail in these articles. However, his impact on science education has also been extensive. Constructivism is a foundation stone in the thinking behind the curriculum in many countries and this collection of papers should be useful to practitioners and researchers in education. We think that the work on conceptual analysis could be used more fully as a tool for modelling emerging concepts and hope that the articles here will facilitate interest in this aspect of Ernst’s work. (shrink)
The paper discusses regularisation of dualities. A given duality between (concrete) categories, e.g. a variety of algebras and a category of representation spaces, is lifted to a duality between the respective categories of semilattice representations in the category of algebras and the category of spaces. In particular, this gives duality for the regularisation of an irregular variety that has a duality. If the type of the variety includes constants, then the regularisation depends critically on the location or absence of constants (...) within the defining identities. The role of schizophrenic objects is discussed, and a number of applications are given. Among these applications are different forms of regularisation of Priestley, Stone and Pontryagin dualities. (shrink)
Natural dualities are developed for varieties ofn-valued ukasiewicz algebras with and without negation. These dualities are based on hom-functors, and parallel Stone duality for Boolean algebras. A translation is described which relates the natural dualities to the corresponding restricted Priestley dualities. This enables a unified approach to free algebras to be presented, whence R. Cignoli's characterisations of the finitely generated free algebras are elucidated and new descriptions of arbitrary free algebras obtained. Finally it is shown how dualities for subvarieties (...) encode equational bases. An alternative approach is thereby provided to results of M.E. Adams and R. Cignoli. (shrink)
is an unusual phenomenon. The concern with rights different citizens have in different societies is legal rather than philosophical. It is frequently somewhat a technical matter for jurisprudence to decide exactly what rights a citizen has in a given situation and how he might best exercise his rights. Often, to be sure, the legal technicalities involve matters of principle, and if so these should be made explicit. For this, too, there is a need less for philosophy and more for jurisprudence, (...) for detailed legal study. For example, the problems concerning interests of third parties - related to the questions of when is a third party an aggrieved person, so-called, and what are the rights of the aggrieved third party - have been taken up, in the sixties, by diverse federal courts of the United States, with the aim of increasing individual rights when these are encroached upon by public agencies.1 Although this may call for much philosophical commentary, it is clearly more a legal matter than a philosophical concern. Even the broadly philosophical question of rights within a legal system requires a greater degree of legal than philosophical considerations. Recently H.L.A. Hart, the foremost living legal philosopher, has cited Sir Henry Maine (1891) and William Warwick Buckland (1950) approvingly to support his view that even "Roman law never achieved a clear concept of a legal right." 2 It is not clear to a philosopher what "a clear concept of legal rights" might be, and a philosopher like Hannah Arendt never. concerned herself with this matter when she expressed her admiration for the rights of a Roman citizen to his privacy.3 Regardless of whether we admire or deplore this, we can agree that at least in principle a Roman citizen had more rights and prerogatives within his family than any modern civilized law would ever permit. A philosopher with only a modicum of sensitivity can say that although Rome was not a democracy, and even though in Rome the rights of women and children (not to mention slaves) were not recognized, the rights of citizens to privacy and to be free of the need ever to prove their innocence have nevertheless become the foundation stones of modern liberal individualistic democracy.. (shrink)
Machine generated contents note: Introduction; 1. Antiochus' biography Myrto Hatzimichali; 2. Antiochus and the Academy Roberto Polito; 3. Antiochus and Asclepiades: medical and philosophical sectarianism at the end of the Hellenistic era Rebecca Flemming; 4. Antiochus as historian of philosophy David Sedley; 5. Antiochus' epistemology Charles Brittain; 6. Antiochus on contemplation and the happy life Georgia Tsouni; 7. Antiochus, Aristotle, and the Stoics on degrees of happiness T. H. Irwin; 8. Antiochus on social virtue Malcolm Schofield; 9. Antiochus on physics (...) Brad Inwood; 10. Antiochus' metaphysics G. R. Boys-Stones; 11. The neutralizing argument: Carneades, Antiochus, Cicero Malcolm Schofield; 12. Varro and Antiochus David Blank; 13. Other followers of Antiochus Carlos Le;vy; 14. Antiochus and Platonism Mauro Bonazzi; Appendix: a guide to the testimonies for Antiochus David Sedley; Bibliography. (shrink)
It hardly needs repeating that Plato defined philosophy partly by contrast with the work of the poets. What is extraordinary is how little systematic exploration there has been of his relationship with specific poets other than Homer. This neglect extends even to Hesiod, though Hesiod is of central importance for the didactic tradition quite generally, and is a major source of imagery at crucial moments of Plato's thought. This volume, which presents fifteen articles by specialists on the area, will be (...) the first ever book-length study dedicated to the subject. It covers a wide variety of thematic angles, brings new and sometimes surprising light to a large range of Platonic dialogues, and represents a major contribution to the study of the reception of archaic poetry in Athens. (shrink)
