Tarski [5] showed that for any set X, its set w(X) of well-orderable subsets has cardinality strictly greater than that of X, even in the absence of the axiom of choice. We construct a Fraenkel-Mostowski model in which there is an infinite strictly descending sequence under the relation |w (X)| = |Y|. This contrasts with the corresponding situation for power sets, where use of Hartogs' ℵ-function easily establishes that there can be no infinite descending sequence under the relation |P(X)| = (...) |Y|. (shrink)
Abstract Ramsey, Stick and Garon (1991) argue that if the correct theory of mind is some parallel distributed processing theory, then folk psychology must be false. Their idea is that if the nodes and connections that encode one representation are causally active then all representations encoded by the same set of nodes and connections are also causally active. We present a clear, and concrete, counterexample to RSG's argument. In conclusion, we suggest that folk psychology and connectionism are best understood as (...) complementary theories. Each has different limitations, yet each will co?evolve with the other in an overlapping domain of ?normal? psychology. (shrink)
Traditional analyses of the curve fitting problem maintain that the data do not indicate what form the fitted curve should take. Rather, this issue is said to be settled by prior probabilities, by simplicity, or by a background theory. In this paper, we describe a result due to Akaike [1973], which shows how the data can underwrite an inference concerning the curve's form based on an estimate of how predictively accurate it will be. We argue that this approach throws light (...) on the theoretical virtues of parsimoniousness, unification, and non ad hocness, on the dispute about Bayesianism, and on empiricism and scientific realism. * Both of us gratefully acknowledge support from the Graduate School at the University of Wisconsin-Madison, and NSF grant DIR-8822278 (M.F.) and NSF grant SBE-9212294 (E.S.). Special thanks go to A. W. F. Edwards.William Harper. Martin Leckey. Brian Skyrms, and especially Peter Turney for helpful comments on an earlier draft. (shrink)
Ebbhinghaus, H., J. Flum, and W. Thomas. 1984. Mathematical Logic. New York, NY: Springer-Verlag. Forster, T. Typescript. The significance of Yablo’s paradox without self-reference. Available from http://www.dpmms.cam.ac.uk. Gold, M. 1965. Limiting recursion. Journal of Symbolic Logic 30: 28–47. Karp, C. 1964. Languages with Expressions of Infinite Length. Amsterdam.
Fags, Hags and Queer Sisters is a provocative account of the importance of women and cross-gender identification in "gay" male culture. It offers a range of cultural readings from Tennessee William's classic A Streetcar Named Desire and Forster's 'gay' novel Maurice through Pulp Fiction , queer lifestyle magazines, Roseanne , slash fan fiction, and Jarman's Edward II to Almodovar's camp classic Women on the Verge of a Nervous Breakdown. Theoretically sophisticated, yet passionate, accessible and opinionated, Fags, Hags and (...) Queer Sisters takes issue with many of the sacred cows of contemporary gay politics, and offers a number of new concepts in lesbian and gay theory. (shrink)
Bayesian model selection has frequently been the focus of philosophical inquiry (e.g., Forster, Br J Philos Sci 46:399–424, 1995; Bandyopadhyay and Boik, Philos Sci 66:S390–S402, 1999; Dowe et al., Br J Philos Sci 58:709–754, 2007). This paper argues that Bayesian model selection procedures are very diverse in their inferential target and their justification, and substantiates this claim by means of case studies on three selected procedures: MML, BIC and DIC. Hence, there is no tight link between Bayesian model selection (...) and Bayesian philosophy. Consequently, arguments for or against Bayesian reasoning based on properties of Bayesian model selection procedures should be treated with great caution. (shrink)
In the curve fitting problem two conflicting desiderata, simplicity and goodness-of-fit pull in opposite directions. To solve this problem, two proposals, the first one based on Bayes's theorem criterion (BTC) and the second one advocated by Forster and Sober based on Akaike's Information Criterion (AIC) are discussed. We show that AIC, which is frequentist in spirit, is logically equivalent to BTC, provided that a suitable choice of priors is made. We evaluate the charges against Bayesianism and contend that AIC (...) approach has shortcomings. We also discuss the relationship between Schwarz's Bayesian Information Criterion and BTC. (shrink)
The second edition of this exceptional anthology provides an introduction to a wide variety of views on human nature. Drawing from diverse cultures over three millennia, Leslie Stevenson has chosen selections ranging from ancient religious texts to contemporary theories based on evolutionary science. An ideal companion to the editor's recent book, Ten Theories of Human Nature, 3/e (OUP, 1998), this interdisciplinary reader can also be used independently. The Study of Human Nature, 2/e offers substantial selections illustrating the ten perspectives discussed (...) in Ten Theories of Human Nature, 3/e--The Bible, Hinduism, Confucianism, Plato, Kant, Marx, Freud, Sartre, B.F. Skinner's behaviorism, and Konrad Lorenz's ethological diagnosis of human aggression. The Islamic tradition is represented by a selection from the 20th-century Iranian philosopher Ayatullah Murtaza Mutahhari. The 17th- and 18th-century philosophers Descartes, Hobbes, Hume, Rousseau, and Kant are also represented. Selections from Rousseau, J.S. Mill, and Nancy Holmstrom discuss alleged differences between women and men, and a paper by Henry Bracken deals with racial issues. Examples from E.O. Wilson's sociobiology and his critics are also included, together with material from Chomsky and from recent evolutionary psychology. This new edition includes more substantial selections from the Hindu, Confucian, and Christian traditions and provides more accessible extracts from Marx, Sartre, and Lorenz. An excellent reader for introductory courses in philosophy, religious studies, human nature, and intellectual history, The Study of Human Nature, 2/e, is also an essential resource for anyone interested in ancient, modern, and contemporary perspectives on human nature. (shrink)
Over three previous editions, Ten Theories of Human Nature has been a remarkably popular introduction to some of the most influential developments in Western and Eastern thought. This thoroughly revised fourth edition features substantial new chapters on Aristotle and on evolutionary theories of human nature; the latter centers on Edward O. Wilson but also outlines the ideas of Emile Durkheim, B. F. Skinner, Nikolaas Tinbergen, Konrad Lorenz, Noam Chomsky, and recent evolutionary psychology. This edition also includes a rewritten introduction (...) that invites readers (even if inclined toward fundamentalism, or to cultural relativism) to careful, critical thought about human nature; a useful new section that summarizes the history of ideas from the Stoics to the Enlightenment; and a new conclusion that suggests a way to synthesize the various theories. Lucid and accessible, Ten Theories of Human Nature, 4/e, compresses into a small space the essence of such ancient traditions as Confucianism, Hinduism, and the Old and New Testaments as well as the theories of Plato, Immanuel Kant, Karl Marx, Sigmund Freud, and Jean-Paul Sartre. The authors juxtapose the ideas of these and other thinkers and traditions in a way that helps readers understand how humanity has struggled to comprehend its nature. To encourage readers to think critically for themselves and to underscore the similarities and differences between the many theories, the book examines each one on four points--the nature of the universe, the nature of humanity, the diagnosis of the ills of humanity, and the proposed cure for these problems. Ideal for introductory courses in human nature, philosophy, religious studies, and intellectual history, Ten Theories of Human Nature, 4/e, will engage and motivate students and other readers to consider how we can understand and improve both ourselves and human society. (shrink)
