A letter written by Christiaan Huygens to David Gregory is published here for the first time. After an introduction about the contacts between the two correspondents, an annotated English translation of the letter is given. The letter forms part of the wider correspondence about the ‘new calculus’, in which L'Hospital and Leibniz also participated, and gives some new evidence about Huygens's ambivalent attitude towards the new developments. Therefore, two mathematical passages in the letter are discussed separately. An appendix (...) contains the original Latin text. (shrink)

Functionalism offers an account of the relations that hold between behavioural functions, information and neural processing, and conscious experience from which one can draw two inferences: for any discriminable difference between qualia there must be an equivalent discriminable difference in function; and for any discriminable functional difference within a behavioural domain associated with qualia, there must be a discriminable difference between qualia. The phenomenon of coloured hearing synaesthesia appears to contradict the second of these inferences. We report data showing that (...) this form of synaesthesia is genuine and probably results from an aberrant projection from cortical language areas to a region specialized for the perception of colour. Since functionalism purports to be a general account of consciousness, one such negative instance, if it can be further sustained empirically, is sufficient to invalidate it. (shrink)

This collection highlights such issues as how the nature of time is relevant to the question of whether God is temporal and how God's other attributes are ...

In Newcomb’s paradox you can choose to receive either the contents of a particular closed box, or the contents of both that closed box and another one. Before you choose though, an antagonist uses a prediction algorithm to accurately deduce your choice, and uses that deduction to fill the two boxes. The way they do this guarantees that you made the wrong choice. Newcomb’s paradox is that game theory’s expected utility and dominance principles appear to provide conflicting recommendations for what (...) you should choose. Here we show that the conflicting recommendations assume different probabilistic structures relating your choice and the algorithm’s prediction. This resolves the paradox: the reason there appears to be two conflicting recommendations is that the probabilistic structure relating the problem’s random variables is open to two, conflicting interpretations. We then show that the accuracy of the prediction algorithm in Newcomb’s paradox, the focus of much previous work, is irrelevant. We end by showing that Newcomb’s paradox is time-reversal invariant; both the paradox and its resolution are unchanged if the algorithm makes its ‘prediction’ after you make your choice rather than before. (shrink)

John Dewey was not a philosopher of education in the now-traditional sense of a doctor of philosophy who examines educational ends, means, and controversies through the disciplinary lenses of epistemology, ethics, and political theory, or of agenda-driven schools such as existentialism, feminism, and critical theory. Rather, Dewey was both an educator and a philosopher, and he saw in each discipline reconstructive possibilities for the other, famously characterizing "philosophy . . . as the general theory of education" (1985, p. 338). Dewey (...) wanted each discipline to overcome its tendency to alienate knowledge and theory from experience and reconstruct itself as an enterprise aimed at personal and collective .. (shrink)

GREGORY R. JOHNSON and DAVID RASMUSSEN argue that Rand's defense of abortion on demand is inconsistent with her own fundamental metaphysical, epistemological, and moral principles, namely that everything that exists has a determinate identity, that the concept of man refers to all of man's characteristics, not just his essential characteristics, and that there is no gap between what an organism truly is and what it ought to be.

This book critically interrogates the work of David Harvey, one of the world’s most influential geographers, and one of its best known Marxists. Considers the entire range of Harvey’s oeuvre, from the nature of urbanism to environmental issues. Written by contributors from across the human sciences, operating with a range of critical theories. Focuses on key themes in Harvey’s work. Contains a consolidated bibliography of Harvey’s writings.

GREGORY R. JOHNSON and DAVID RASMUSSEN defend their critique of Ayn Rand's views on abortion, arguing that their critics miss its main points. Tibor Machan and Alexander Tabarrok actually depart from Rand's own position under the guise of defending it; they introduce a non-Randian distinction between being a human organism and being a moral person.

In relation to a thesis put forward by Marx Wartofsky, we seek to show that a historiography of mathematics requires an analysis of the ontology of the part of mathematics under scrutiny. Following Ian Hacking, we point out that in the history of mathematics the amount of contingency is larger than is usually thought. As a case study, we analyze the historians’ approach to interpreting James Gregory’s expression ultimate terms in his paper attempting to prove the irrationality of \. (...) Here Gregory referred to the last or ultimate terms of a series. More broadly, we analyze the following questions: which modern framework is more appropriate for interpreting the procedures at work in texts from the early history of infinitesimal analysis? As well as the related question: what is a logical theory that is close to something early modern mathematicians could have used when studying infinite series and quadrature problems? We argue that what has been routinely viewed from the viewpoint of classical analysis as an example of an “unrigorous” practice, in fact finds close procedural proxies in modern infinitesimal theories. We analyze a mix of social and religious reasons that had led to the suppression of both the religious order of Gregory’s teacher degli Angeli, and Gregory’s books at Venice, in the late 1660s. (shrink)

An important application of cognitive architectures is to provide human performance models that capture psychological mechanisms in a form that can be “programmed” to predict task performance of human–machine system designs. Although many aspects of human performance have been successfully modeled in this approach, accounting for multitalker speech task performance is a novel problem. This article presents a model for performance in a two-talker task that incorporates concepts from psychoacoustics, in particular, masking effects and stream formation.

Gregory R. Johnson and David Rasmussen defend their critique of Ayn Rand's views on abortion, arguing that their critics miss its main points. Tibor Machan and Alexander Tabarrok actually depart from Rand's own position under the guise of defending it; they introduce a non-Randian distinction between being a human organism and being a moral person.

The single most important source for Second Temple Jewish exegetical traditions is the three commentaries series written by Philo of Alexandria. Wanting to understand Second Temple Judaism more fully, a group of scholars founded the Philo Institute in 1971 to explore those traditions. The following year they began publication of The Studia Philonica as a venue for their research; however, the significance of Philo's work soon captured the interest of a broader group of scholars and quickly opened the journal's pages (...) up to all aspects of Philonic studies. Six issues were released from 1972-1980 containing twenty-five articles, annual bibliographies, and abstracts of notable publications. The list of contributors is a who's who in Philonic studies in the 1970s and 1980s. After a lapse of almost a decade, the journal was revived as the Studia Philonica Annual, which is devoted to furthering the study of Hellenistic Judaism, in particular the writings and thought of the Hellenistic-Jewish writer Philo of Alexandria (ca. 15 b.c.e. to ca. 50 c.e.). Each year the Annual publishes the most current Philonic scholarship along with an extensive bibliography that is maintained by David Runia. (shrink)

In [8], the third author defined a reducibility$\le _w^{\rm{*}}$that lets us compare the computing power of structures of any cardinality. In [6], the first two authors showed that the ordered field of reals${\cal R}$lies strictly above certain related structures. In the present paper, we show that$\left \equiv _w^{\rm{*}}{\cal R}$. More generally, for the weak-looking structure${\cal R}$ℚconsisting of the real numbers with just the ordering and constants naming the rationals, allo-minimal expansions of${\cal R}$ℚare equivalent to${\cal R}$. Using this, we show that (...) for any analytic functionf,$\left \equiv _w^{\rm{*}}{\cal R}$. $is noto-minimal.). (shrink)

The proper interpretation of Hume’s argument against miracles in Section 10 of An Inquiry concerning Human Understanding has been heavily debated. In this paper, I argue that Hume’s main argument has the intended conclusion that there can never be a sufficient justification for believing that a miracle has occurred on the basis of testimony sufficient to make it a basis for a religion. I also consider and argue against other common readings.

Beckers et al. (2006) published intriguing results, obtained in the rat fear condi- tioning paradigm, challenging classical associativist theories of learning. One of the main findings of Beckers et al. (2006) is that what they called subad- ditive pretraining abolished the expres- sion of blocking. Haselgrove (2010) proposed an expla- nation, based on the well known Rescorla- Wagner Model (Rescorla and Wagner, 1972). We will demonstrate here that the account offered by Haselgrove (2010) is contradictory to the basic assumptions of (...) the Rescorla-Wagner Model. (shrink)

Six experiments investigated variables predicted to influence subjects’ tendency to classify items by a single property instead of overall similarity, following the paradigm of Norenzayan et al., who found that European Americans tended to give more “logical” rule-based responses. However, in five experiments with Mechanical Turk subjects and undergraduates at an American university, we found a consistent preference for similarity-based responding. A sixth experiment with Korean undergraduates revealed an effect of instructions, also reported by Norenzayan et al., in which classification (...) instructions led to majority rule-based responding but similarity instructions led to overall similarity grouping. Our American subjects showed no such difference and used similarity more overall. We conclude that Americans do not have a preference for rule responding in classification and discuss the differences between tasks that reliably show strong rule or unidimensional preferences in contrast to this classification paradigm. (shrink)

In response to the need for Holocaust curricula in Latvia, Latvians and Americans worked collaboratively to overcome the historical silence surrounding this event. During their project, Latvian curriculum writers worked with teachers and scholars at the United States Holocaust Memorial Museum. This descriptive analysis of the Latvians' experience with Museum Fellows revealed opportunities to learn from each other the complexities of teaching the Holocaust in a country viewed by some as collaborators and still somewhat anti-Semitic. Findings included depth of guidance, (...) values, and limits of innovative teaching methods, cross-cultural benefits, and continued collaboration. Recommendations for future efforts by post-Communist countries and American partners to develop curriculum on teaching a most complex and contentious aspect of history such as the Holocaust conclude the study. (shrink)