James Earl Baumgartner (March 23, 1943–December 28, 2011) came of age mathematically during the emergence of forcing as a fundamental technique of set theory, and his seminal research changed the way set theory is done. He made fundamental contributions to the development of forcing, to our understanding of uncountable orders, to the partition calculus, and to large cardinals and their ideals. He promulgated the use of logic such as absoluteness and elementary submodels to solve problems in set theory, he applied (...) his knowledge of set theory to a variety of areas in collaboration with other mathematicians, and he encouraged a community of mathematicians with engaging survey talks, enthusiastic discussions of open problems, and friendly mathematical conversations. (shrink)

Let κ be a cardinal which is measurable after generically adding ${\beth_{\kappa+\omega}}$ many Cohen subsets to κ and let ${\mathcal G= ( \kappa,E )}$ be the κ-Rado graph. We prove, for 2 ≤ m < ω, that there is a finite value ${r_m^+}$ such that the set [κ] m can be partitioned into classes ${\langle{C_i:i (...) G}$ in ${\mathcal G}$ such that ${[\mathcal{G} ^\ast ] ^m\cap C_i}$ is monochromatic. It follows that ${\mathcal{G}\rightarrow (\mathcal{G} ) ^m_{<\kappa/r_m^+}}$ , that is, for any coloring of ${[ \mathcal {G} ] ^m}$ with fewer than κ colors there is a copy ${\mathcal{G} ^{\prime}}$ of ${\mathcal{G}}$ such that ${[\mathcal{G} ^{\prime} ] ^{m}}$ has at most ${r_m^+}$ colors. On the other hand, we show that there are colorings of ${\mathcal{G}}$ such that if ${\mathcal{G} ^{\prime}}$ is any copy of ${\mathcal{G}}$ then ${C_i\cap [\mathcal{G} ^{\prime} ] ^m\not=\emptyset}$ for all ${i 2 we have ${r_m^+ > r_m}$ where r m is the corresponding number of types for the countable Rado graph. (shrink)

Understanding how people comprehend visual narratives (including picture stories, comics, and film) requires the combination of traditionally separate theories that span the initial sensory and perceptual processing of complex visual scenes, the perception of events over time, and comprehension of narratives. Existing piecemeal approaches fail to capture the interplay between these levels of processing. Here, we propose the Scene Perception & Event Comprehension Theory (SPECT), as applied to visual narratives, which distinguishes between front-end and back-end cognitive processes. Front-end processes occur (...) during single eye fixations and are comprised of attentional selection and information extraction. Back-end processes occur across multiple fixations and support the construction of event models, which reflect understanding of what is happening now in a narrative (stored in working memory) and over the course of the entire narrative (stored in long-term episodic memory). We describe relationships between front- and back-end processes, and medium-specific differences that likely produce variation in front-end and back-end processes across media (e.g., picture stories vs. film). We describe several novel research questions derived from SPECT that we have explored. By addressing these questions, we provide greater insight into how attention, information extraction, and event model processes are dynamically coordinated to perceive and understand complex naturalistic visual events in narratives and the real world. (shrink)

Argumentation as the public exchange of reasons is widely thought to enhance deliberative interactions that generate and justify reasonable public policies. Adopting an argumentation-theoretic perspective, we survey the norms that should govern public argumentation and address some of the complexities that scholarly treatments have identified. Our focus is on norms associated with the ideals of correctness and participation as sources of a politically legitimate deliberative outcome. In principle, both ideals are mutually coherent. If the information needed for a correct deliberative (...) outcome is distributed among agents, then maximising participation increases information diversity. But both ideals can also be in tension. If participants lack competence or are prone to biases, a correct deliberative outcome requires limiting participation. The central question for public argumentation, therefore, is how to strike a balance between both ideals. Rather than advocating a preferred normative framework, our main purpose is to illustrate the complexity of this theme. (shrink)

A national scientific community developed in the United States following the American Revolution. The independent scientific societies, journals and other institutions that formed the basis of this community were, however, centred in the North. An analysis of the work of four leading natural historians of the Southern tidewater suggests that their region participated in this development by shifting scientific ties and allegiances from Europe to the North rather than by creating national or regional scientific institutions.

In the late 1800s, Charles Darwin and other naturalists supported a blending view of inheritance whereby offspring possess a middling mix of their parents' traits. Many of these naturalists also argued that individuals pass at least some of their acquired characteristics to their descendants. Darwin proposed that acquired characteristics and other environmentally induced changes in a parent's hereditary material account in large part for the inheritable variations that drove evolution. Inspired by the evolutionary theories of his first cousin, Darwin, Francis (...) Galton developed hereditarian notions that helped to lay the foundation for both genetics and eugenics. Eugenics was endorsed by evolutionary geneticists such as August Weismann, Karl Pearson, W. F. R. Weldon, William Bateson, and Hugo de Vries, which, as a result, gave it enormous scientific credibility in America and Europe. This chapter explores the role of biology in the emergence of the eugenics movement in the Anglo-Saxon world. (shrink)

Psychologists' emerging interest in spirituality and religion as well as the relevance of each phenomenon to issues of psychological importance requires an understanding of the fundamental characteristics of each construct. On the basis of both historical considerations and a limited but growing empirical literature, we caution against viewing spirituality and religiousness as incompatible and suggest that the common tendency to polarize the terms simply as individual vs. institutional or ′good′ vs. ′bad′ is not fruitful for future research. Also cautioning against (...) the use of restrictive, narrow definitions or overly broad definitions that can rob either construct of its distinctive characteristics, we propose a set of criteria that recognizes the constructs' conceptual similarities and dissimilarities. Rather than trying to force new and likely unsuccessful definitions, we offer these criteria as benchmarks for judging the value of existing definitions. (shrink)

Without the idea of God, and the moral values and law that derive from divine authority, how does Man determine the limits of his actions? Are moral values and principles of justice simply human constructs created to protect society that do not realistically reflect the truth about human nature? Without the concept of the sacred, where does authority reside and what constitutes the boundaries that humans must not transgress? In Caligula, Albert Camus confronts these questions and takes them to their (...) ultimate logical conclusions. The character he creates in order to do this, as I will seek to show, is the figurative equivalent of a system of thought most eminently articulated by the Marquis de Sade in his .. (shrink)

“I often said before starting, that I had no doubt I should frequently repent of the whole undertaking.” So wrote Charles Darwin aboard The Beagle , bound for the Galapagos Islands and what would arguably become the greatest and most controversial discovery in scientific history. But the theory of evolution did not spring full-blown from the head of Darwin. Since the dawn of humanity, priests, philosophers, and scientists have debated the origin and development of life on earth, and with modern (...) science, that debate shifted into high gear. In this lively, deeply erudite work, Pulitzer Prize–winning science historian Edward J. Larson takes us on a guided tour of Darwin’s “dangerous idea,” from its theoretical antecedents in the early nineteenth century to the brilliant breakthroughs of Darwin and Wallace, to Watson and Crick’s stunning discovery of the DNA double helix, and to the triumphant neo-Darwinian synthesis and rising sociobiology today. Along the way, Larson expertly places the scientific upheaval of evolution in cultural perspective: the social and philosophical earthquake that was the French Revolution; the development, in England, of a laissez-faire capitalism in tune with a Darwinian ethos of “survival of the fittest”; the emergence of Social Darwinism and the dark science of eugenics against a backdrop of industrial revolution; the American Christian backlash against evolutionism that culminated in the famous Scopes trial; and on to today’s world, where religious fundamentalists litigate for the right to teach “creation science” alongside evolution in U.S. public schools, even as the theory itself continues to evolve in new and surprising directions. Throughout, Larson trains his spotlight on the lives and careers of the scientists, explorers, and eccentrics whose collaborations and competitions have driven the theory of evolution forward. Here are portraits of Cuvier, Lamarck, Darwin, Wallace, Haeckel, Galton, Huxley, Mendel, Morgan, Fisher, Dobzhansky, Watson and Crick, W. D. Hamilton, E. O. Wilson, and many others. Celebrated as one of mankind’s crowning scientific achievements and reviled as a threat to our deepest values, the theory of evolution has utterly transformed our view of life, religion, origins, and the theory itself, and remains controversial, especially in the United States (where 90% of adults do not subscribe to the full Darwinian vision). Replete with fresh material and new insights, Evolution will educate and inform while taking readers on a fascinating journey of discovery. (shrink)

Preadolescence is an important period for the consolidation of certain arithmetic facts, and the development of problem-solving strategies. Obese subjects seem to have poorer academic performance in math than their normal-weight peers, suggesting a negative effect of obesity on math skills in critical developmental periods. To test this hypothesis, event-related potentials were collected during a delayed-verification math task using simple addition and subtraction problems in obese [above 95th body mass index percentile] and non-obese preteens with different levels of math skill; (...) thirty-one with low math skills and thirty-one with high math skills. No significant differences between weight groups were observed in task accuracy regardless of their mathematical skill level. For ERPs, electrophysiological differences were found only in the subtraction condition; participants with obesity showed an electrophysiologic pattern associated with a reduced ability to allocate attention resources regardless of their math skill level, these differences were characterized by longer P300 latency than their normal-weight peers. Moreover, the participants with obesity with high math skills displayed hypoactivity in left superior parietal lobule compared with their normal-weight peers. Additionally, obese preteens with low math skills displayed smaller arithmetic N400 amplitude than non-obese participants, reflecting difficulties in retrieving visual, semantic, and lexical information about numbers. We conclude that participants with obesity are less able than their normal-weight peers to deploy their attention regardless of their behavioral performance, which seems to have a greater effect on obese participants with low math skills because they also show problems in the retrieval of solutions from working memory, resulting in a delay in the development of mathematical skills. (shrink)

Psychopathy is a personality disorder characterized by emotional deficits and a failure to inhibit impulsive behavior and is often subdivided into “primary” and “secondary” psychopathic subtypes. The maladaptive behavior related to primary psychopathy is thought to reflect constitutional “fearlessness,” while the problematic behavior related to secondary psychopathy is motivated by other factors. The fearlessness observed in psychopathy has often been interpreted as reflecting a fundamental deficit in amygdala function, and previous studies have provided support for a low-fear model of psychopathy. (...) However, many of these studies fail to use appropriate screening procedures, use liberal inclusion criteria, or have used unconventional approaches to assay amygdala function. We measured brain activity with BOLD imaging in primary and secondary psychopaths and non-psychopathic control subjects during Pavlovian fear conditioning. In contrast to the low-fear model, we observed normal fear expression in primary psychopaths. Psychopaths also displayed greater differential BOLD activity in the amygdala relative to matched controls. Inverse patterns of activity were observed in the anterior cingulate cortex (ACC) for primary versus secondary psychopaths. Primary psychopaths exhibited a pattern of activity in the dorsal and ventral ACC consistent with enhanced fear expression, while secondary psychopaths exhibited a pattern of activity in these regions consistent with fear inhibition. These results contradict the low-fear model of psychopathy and suggest that the low fear observed for psychopaths in previous studies may be specific to secondary psychopaths. (shrink)

If M is a countable transitive model of $ZFC+MA_{\aleph_{1}}$ , then for every real x there is a unique shortest iteration $j: M \rightarrow N$ with $x \in N$ , or none at all.

This volume is a “state-of-the-art‘ assessment of comparative philosophy written by some of the leading practitioners of the field. While its primary focus is on gaining methodological clarity regarding the comparative enterprise of “interpreting across boundaries,‘ the book also contains new substantive essays on Indian, Chinese, Japanese, and European thought. The contributors are Roger T. Ames, William Theodore de Bary, Wing-tsit Chan, A. S. Cua, Eliot Deutsch, Charles Hartshorne, Daya Krishna, Gerald James Larson, Sengaku Mayeda, Hajime Nakamura, Raimundo Panikkar, (...) Karl H. Potter, Henry Rosemont, Jr., Ben-Ami Scharfstein, Ninian Smart, Fritz Staal, and Frederick J. Streng. Comparative or cross-cultural philosophy can be seen as a relative newcomer to the field of philosophy. It has its antecedents in the emergence of comparative studies in nineteenth-century European intellectual history, as well as in the sequence of East-West Philosophers’ Conferences at the University of Hawaii, which began in 1939. This book will prove to be of great significance in helping to define a field that is only now becoming fully self-conscious, methodologically and substantively, about its role and function in the larger enterprises of philosophy and comparative studies. (shrink)

We present Woodin's proof that if there exists a measurable Woodin cardinal δ, then there is a forcing extension satisfying all $\Sigma _{2}^{2}$ sentences ϕ such that CH + ϕ holds in a forcing extension of V by a partial order in V δ . We also use some of the techniques from this proof to show that if there exists a stationary limit of stationary limits of Woodin cardinals, then in a homogeneous forcing extension there is an elementary embedding (...) j: V → M with critical point $\omega _{1}^{V}$ such that M is countably closed in the forcing extension. (shrink)

In the Spring of 1944, an informal discussion took place in Cambridge between Mr. R. S. Whipple, Professor Allan Ferguson and Mr. F. H. C. Butler, concerning the formation of a national Society for the History of Science. This is the opening sentence of the inaugural issue of the Bulletin of the British Society for the History of Science, the Society's first official publication. Butler himself was the author of this outline account of the subsequent approach to the Royal Society, (...) the parallel moves to establish a National Committee of the International Academy of the History of Science, the formation of a provisional committee to prepare a draft constitution for a national society, and the proceedings of the first Annual General Meeting in May 1947. Whipple had been in Cambridge to discuss his offer to present his collection of old scientific instruments to the University and the possible foundation of a new museum, and Butler, as Secretary of the History of Science Committee in Cambridge, was the chief mover in both this development and an initiative coupled with it to establish a department of the history of science. (shrink)

The classical Feferman–Vaught Theorem for First Order Logic explains how to compute the truth value of a first order sentence in a generalized product of first order structures by reducing this computation to the computation of truth values of other first order sentences in the factors and evaluation of a monadic second order sentence in the index structure. This technique was later extended by Läuchli, Shelah and Gurevich to monadic second order logic. The technique has wide applications in decidability and (...) definability theory. Here we give a unified presentation, including some new results, of how to use the Feferman–Vaught Theorem, and some new variations thereof, algorithmically in the case of Monadic Second Order Logic MSOL . We then extend the technique to graph polynomials where the range of the summation of the monomials is definable in MSOL . Here the Feferman–Vaught Theorem for these polynomials generalizes well known splitting theorems for graph polynomials. Again, these can be used algorithmically. Finally, we discuss extensions of MSOL for which the Feferman–Vaught Theorem holds as well. (shrink)