Axiomatic set theory is the concern of this book. More particularly, the authors prove results about the coding of models M, of Zermelo-Fraenkel set theory together with the Generalized Continuum Hypothesis by using a class 'forcing' construction. By this method they extend M to another model L[a] with the same properties. L[a] is Gödels universe of 'constructible' sets L, together with a set of integers a which code all the cardinality and cofinality structure of M. Some applications are also considered. (...) Graduate students and research workers in set theory and logic will be especially interested by this account. (shrink)

The aim of this paper is to prove strengthenings of three theorems appearing in Jensen [1].

The aim of this paper is to prove strengthenings of three theorems appearing in Jensen [1].

"Science is rooted in conversations," wrote Werner Heisenberg, one of the twentieth century's great physicists. In Quantum Dialogue, Mara Beller shows that science is rooted not just in conversation but in disagreement, doubt, and uncertainty. She argues that it is precisely this culture of dialogue and controversy within the scientific community that fuels creativity. Beller draws her argument from her radical new reading of the history of the quantum revolution, especially the development of the Copenhagen interpretation. One of (...) several competing approaches, this version succeeded largely due to the rhetorical skills of Niels Bohr and his colleagues. Using extensive archival research, Beller shows how Bohr and others marketed their views, misrepresenting and dismissing their opponents as "unreasonable" and championing their own not always coherent or well-supported position as "inevitable." Quantum Dialogue, winner of the 1999 Morris D. Forkosch Prize of the Journal of the History of Ideas, will fascinate everyone interested in how stories of "scientific revolutions" are constructed and "scientific consensus" achieved. "[A]n intellectually stimulating piece of work, energised by a distinct point of view."—Dipankar Home, Times Higher Education Supplement "[R]emarkable and original. . . . [Beller's] arguments are thoroughly supported and her conclusions are meticulously argued. . . . This is an important book that all who are interested in the emergence of quantum mechanics will want to read."—William Evenson, History of Physics Newsletter. (shrink)

Metacognitive research is dominated by meta-memory studies; meta-reasoning research is nascent. Accessibility – the number of associations for a stimulus – is a reliable heuristic cue for Feeling of Knowing when answering knowledge questions. We used a similar cue, subjective accessibility, for exposing commonalities and differences between meta-reasoning and meta-memory. In Experiment 1, participants faced solvable Compound Remote Associate problems mixed with unsolvable random word triads. We collected initial Judgement of Solvability, final JOS and confidence. Experiment 2 focused on confidence, (...) controlling for potential interactions among judgements. In Experiment 3, the participants memorised the same triads and rated Ease of Learning and Judgement of Learning. sAccessibility was associated with all judgements. Notably, it reliably predicted memory judgements and confidence in the provided solutions. However, it was unreliable for judging solvability. The findings highlight the importance of studying meta-reasoning for exposing the biasing factors in reasoning processes and for getting a broad perspective on metacognitive processes. (shrink)

Anthropology and the other cognitive science (CS) subdisciplines currently maintain a troubled relationship. With a debate in topiCS we aim at exploring the prospects for improving this relationship, and our introduction is intended as a catalyst for this debate. In order to encourage a frank sharing of perspectives, our comments will be deliberately provocative. Several challenges for a successful rapprochement are identified, encompassing the diverging paths that CS and anthropology have taken in the past, the degree of compatibility between (1) (...) CS and (2) anthropology with regard to methodology and (3) research strategies, (4) the importance of anthropology for CS, and (5) the need for disciplinary diversity. Given this set of challenges, a reconciliation seems unlikely to follow on the heels of good intentions alone. (shrink)

In order to resolve the controversial discussion regarding content effects in deductive reasoning, we propose distinguishing between two inferential sources—an argument's form , and additional relations people associate with the argument's content —and analysing their interplay. Both sources are equally necessary in order to understand the role content plays in deductive reasoning. People make valid deductions from the content relations ( content competence ), but in thematic reasoning tasks, these deductions lead to the intriguing phenomenon known as content effects . (...) Focusing on the interplay of both sources of inferences, the dual source distinction enables a novel class of predictions to be made, namely the correct mastery of the logical connectors ( form competence ) in tasks that require the individual to think about an argument's form in relation to its content. To illustrate the dual source approach and its implications, the selection task paradigm of conditional reasoning with a point of view is used in combination with two content domains: conditional promises with cheating and non-cheating perspectives and technical systems with causal perspectives. Experimental findings corroborate all three phenomena: content competence, content effects, and form competence. The dual source distinction is discussed with regard to current theories of reasoning. (shrink)

Beller, Bender, & Jordan [Intro]. Which factors have triggered, constrained, or shaped the course of cognitive evolution is a question of key interest to cognitive science. The topic introduced here highlights the relevance of culture as a driving force in this process. It provides an overview of current empirical and theoretical work leading this field, and it investigates the potential for integrating multiple perspectives across several timescales and levels of analysis.

This paper argues against the possibility of presenting a consistent version of the Copenhagen Interpretation of Quantum Physics, characterizing its founders' philosophical pronouncements including those on the realism-antirealism issue, as a contingent collection of local, often contradictory, moves in changing theoretical and sociopolitical circumstances. The paper analyzes the fundamental differences of opinion between Bohr and the mathematical physicists, Heisenberg and Born, concerning the foundational doctrine of the "indispensability of classical concepts", and their related disagreements on "quantum reality." The paper concludes (...) with an explanation of how the appearance of consensus was achieved despite fundamental disagreements among the proponents. The paper undermines the adequacy of the notion of a general conceptual framework to describe the philosophical endeavors of working scientists. (shrink)

In _The World Computer_ Jonathan Beller forcefully demonstrates that the history of commodification generates information itself. Out of the omnipresent calculus imposed by commodification, information emerges historically as a new money form. Investigating its subsequent financialization of daily life and colonization of semiotics, Beller situates the development of myriad systems for quantifying the value of people, objects, and affects as endemic to racial capitalism and computation. Built on oppression and genocide, capital and its technical result as computation manifest (...) as racial formations, as do the machines and software of social mediation that feed racial capitalism and run on social difference. Algorithms, derived from for-profit management strategies, conscript all forms of expression—language, image, music, communication—into the calculus of capital such that even protest may turn a profit. Computational media function for the purpose of extraction rather than ameliorating global crises, and financialize every expressive act, converting each utterance into a wager. Repairing this ecology of exploitation, Beller contends, requires decolonizing information and money, and the scripting of futures wagered by the cultural legacies and claims of those in struggle. (shrink)

Anthropology and the other cognitive sciences currently maintain a troubled relationship. What could rapprochement look like, and how could it be achieved? The seven main articles of this topic present anthropological or anthropologically inspired cross-cultural research on a diverse set of cognitive domains. They serve as an existence proof that not only do synergies abound across anthropology and the other cognitive sciences, but that they are worth achieving.

Conditional promises and threats are speech acts that are used to manipulate other people's behaviour. Studies on human reasoning typically use propositional logic to analyse what people infer from such inducements. While this approach is sufficient to uncover conceptual features of inducements, it fails to explain them. To overcome this limitation, we propose a multilevel analysis integrating motivational, linguistic, deontic, behavioural, and emotional aspects. Commonalities and differences between conditional promises and threats on various levels were examined in two experiments. The (...) first shows that both types of inducements are understood as being complementary on the linguistic level, but not reversible, due to the specific temporal order of their actions. In addition, it gives a first assessment of emotional reactions. The second experiment investigated the novel question of whether complementary promises and threats, despite semantic differences, both imply an obligation to cooperate on the deontic level. The data corroborate this hypothesis, and they support various appraisal-theoretical assumptions on the elicitation of emotions. They also reveal that content affects not only the attribution of emotions, but also the deontic interpretation. (shrink)

The aim of this paper is to combine the intellectual and the psychosocial aspects. blurring the distinction between the conceptual and the anecdotal history of quantum mechanics. The full realization of the importance of such “anecdotal” factors leads to the revision of our understanding of the conceptual development itself. The paper concludes with the suggestion that a major part of numerous inconsistencies in the Copenhagen interpretation of quantum physics are of a psychosocial origin.

The hoax perpetrated by New York University theoretical physicist Alan Sokal in 1996 on the editors of the journal Social Text quickly became widely known and hotly debated. (See Physics Today January 1997, page 61, and March 1997, page 73.) "Transgressing the Boundaries -- Toward a Transformative Hermeneutics of Quantum Gravity," was the title of the parody he slipped past the unsuspecting editors. [1] Many readers of Sokal's article characterized it as an ingenious exposure of the decline of the intellectual (...) standards in contemporary academia, and as a brilliant parody of the postmodern nonsense rampant among the cultural studies of science. Sokal's paper is variously, so we read, "a hilarious compilation of pomo gibberish", "an imitation of academic babble", and even "a transformative hermeneutics of total bullshit". [2] Many scientists reported having "great fun" and "a great laugh" reading Sokal's article. Yet whom, exactly, are we laughing at? (shrink)

As part of the preparations to establish a population-based biobank in a large Israeli health organization, we aimed to investigate through focus groups the knowledge, perceptions and attitudes of insured Israelis, toward biobanking, and then, after input from focus groups’ participants, to empirically assess the impact of a revised recruitment process on recruitment rates. 1) Six Focus group discussions were conducted with individuals who had routine blood laboratory tests taken in the last 2 years. 2) After addressing the issues raised (...) in the focus groups and revising the recruitment process, individuals undergoing routine blood tests in phlebotomy clinics were invited to participate in the future biobank. Six Focus group discussions were conducted with individuals who had routine blood laboratory tests taken in the last 2 years. After addressing the issues raised in the focus groups and revising the recruitment process, individuals undergoing routine blood tests in phlebotomy clinics were invited to participate in the future biobank. At the outset of the focus groups there was an overall positive response to the prospect of a population-based biobank. Concerns revolved around infringement on privacy, fears of the “big brother”, and anxiety about inequality. Reaction to the language of the informed consent document revolved around concerns over ability to maintain anonymity, to withdraw consent, involvement of commercial entities, and the general tenor of the informed consent, which was perceived as legalistic and unilateral. In general, the longer participants were exposed to discussion about the biobank, the less likely they were to consent to sign in. Overall, only 20% of the 60 participants stated they would agree to sign in by the end of the 2 hour group session. The feedback obtained from the focus groups was used in the second stage of the study. A team of recruiters received extensive training to enable fruitful discussion and a detailed explanation to questions and concerns raised during the recruitment process. During the second stage of the study, after revising the consent form and training recruiters, a 53% consent rate was observed among 10,262 participants, more than 4 fold higher than estimated at the focus group stage. The qualitative focus group research helped identify important perceptions and concerns, which were subsequently addressed in the revised consent form and in the discussion the recruiters had with potential biobank donors. (shrink)

The ArgumentThis paper analyzes the complex and many-layered interrelation between the realization of the inevitable limits of precision in the experimental domain, the emerging quantum theory, and empirically oriented philosophy in the years 1925–1935. In contrast to the usual historical presentation of Heisenberg's uncertainty principle as a purely theoretical achievement, this work discloses the experimental roots of Heisenberg's contribution. In addition, this paper argues that the positivistic philosophy of elimination of unobservables was not used as a guiding principle in the (...) emergence of the new quantum theory, but rather mostly as a post facto justification. The case of P. W. Bridgman, analyzed in this paper, demonstrates how inconclusive operationalistic arguments are, when used as a possible heuristic aid for future discoveries. A large part of this paper is devoted to the evolution of Bridgman's views, and his skeptical reassessment of operationalism and of the very notion of scientific truth. (shrink)

Causal conditional reasoning means reasoning from a conditional statement that refers to causal content. We argue that data from causal conditional reasoning tasks tell us something not only about how people interpret conditionals, but also about how they interpret causal relations. In particular, three basic principles of people's causal understanding emerge from previous studies: the modal principle, the exhaustive principle, and the equivalence principle. Restricted to the four classic conditional inferences—Modus Ponens, Modus Tollens, Denial of the Antecedent, and Affirmation of (...) the Consequent—causal conditional reasoning data are only partially able to support these principles. We present three experiments that use concrete and abstract causal scenarios and combine inference tasks with a new type of task in which people reformulate a given causal situation. The results provide evidence for the proposed representational principles. Implications for theories of the na ve understanding of causality are discussed. (shrink)

The current debate regarding the suitability of anencephalics as organ donors is due primarily to misunderstandings. The anatomical and neurophysiological literature shows that the anencephalic lacks a cerebrum because of the failure of neuralplate fusion. However, even the incomplete function of an atrophic brain stem is currently accepted at law in most if not all countries as sufficient for brain life: which is to say, cessation of breathing is currently required in order to make the diagnosis of brain death. Because (...) of the extensive incompleteness of the anencephalic's brain, it is not possible to postpone death significantly by mechanical ventilation and intravenous feeding. It is acceptable to maintain life for a short period of time in order to allow organ transplantation subsequent to the declaration of death at the point of cessation of the capacity for spontaneous respiration. The most important issue is not transplantation, but the issue of brain life raised by the case of anencephalics. Since brain life in any significant sense begins only after the closure of the neural tube on the 30th day after conception, it is reasonable to take this as the point at which brain life begins. Laws should be amended in all countries to allow the abortion of anencephalics at any time, in that they do not at any time possess brain life. (shrink)

Who/what can be had at an ontological discount? By grasping the “anitrelationality” and “dismediation” of social relations by capital’s system of accounts, we discern not only the epistemicide and the expropriation of the cognitive-linguistic by capital, we shed new light on racial abstraction and gender abstraction. We grasp in “the coloniality of race and gender” the logistics of abstraction that at once code the social factory and give rise to what I have called the derivative condition—a condition in which the (...) multiple forms of being, when dissolved in and as executable information, are functionalized as contingent claims on the value-form by means of “the world computer.” When we say that semiotic processes are metapragmatically put under economic and informatic pressure, we are also saying that the datafication expresses more than a simple analogy to the commodity form by assigning numbers to qualities. Rather, datafication appears as the preeminent mechanism for the commodification of sociality, and thus also encodes access to social currency. Femicide and the ritual violence of parastate cartels of “gore capitalism” can be seen as alternative means of issuing derivative (soft) currencies by imposing extrajudicial if equally violent systems of account. (shrink)

Conditional promises and threats are speech acts that are used to manipulate other people's behaviour. Studies on human reasoning typically use propositional logic to analyse what people infer from such inducements. While this approach is sufficient to uncover conceptual features of inducements, it fails to explain them. To overcome this limitation, we propose a multilevel analysis integrating motivational, linguistic, deontic, behavioural, and emotional aspects. Commonalities and differences between conditional promises and threats on various levels were examined in two experiments. The (...) first shows that both types of inducements are understood as being complementary on the linguistic level, but not reversible, due to the specific temporal order of their actions. In addition, it gives a first assessment of emotional reactions. The second experiment investigated the novel question of whether complementary promises and threats, despite semantic differences, both imply an obligation to cooperate on the deontic level. The data corroborate this hypothesis, and they support various appraisal-theoretical assumptions on the elicitation of emotions. They also reveal that content affects not only the attribution of emotions, but also the deontic interpretation. (shrink)

The ArgumentIn this paper I argue that Kuhn's and Hanson's notion of incommensurable paradigms is rooted in the rhetoric of finality of the Copenhagen dogma — the orthodox philosophical interpretation of quantum physics. I also argue that arguments for holism of a paradigm, on which the notion of the impossibility of its gradual modification is based, misinterpret the Duhem-Quine thesis. The history of science (Copernican, Chemical, and Quantum Revolutions) demonstrates fruitful selective appropriation of ideas from seemingly “incommensurable” paradigms (rather than (...) the impossibility of communication between their representatives). I argue in conclusion that such openness underlies scientific creativity, and that dialogue between different alternatives is indispensable for the growth of knowledge. (shrink)

The ArgumentThe aim of this paper is to provide a critical perspective for Einstein's opposition to the Copenhagen interpretation of quantum physics, by analyzing the ingenious rhetoric of Bohr's principle of complementarity. I argue that what Bohr presents as arguments of “inevitability” are in fact merely arguments for the consistency of the quantum-mechanical scheme. Einstein's resistance to being persuaded by this potent technique of argumentation, and his rejection of Bohr's interpretation of quantum physics, appear consequently as an eminently reasonable position (...) and not as a conservative stand, as it is often presented by the adherents of the Copenhagen orthodoxy. (shrink)

The domain of numbers provides a paradigmatic case for investigating interactions of culture, language, and cognition: Numerical competencies are considered a core domain of knowledge, and yet the development of specifically human abilities presupposes cultural and linguistic input by way of counting sequences. These sequences constitute systems with distinct structural properties, the cross-linguistic variability of which has implications for number representation and processing. Such representational effects are scrutinized for two types of verbal numeration systems—general and object-specific ones—that were in parallel (...) use in several Oceanic languages. The analysis indicates that the object-specific systems outperform the general systems with respect to counting and mental arithmetic, largely due to their regular and more compact representation. What these findings reveal on cognitive diversity, how the conjectures involved speak to more general issues in cognitive science, and how the approach taken here might help to bridge the gap between anthropology and other cognitive sciences is discussed in the conclusion. (shrink)

Mangarevan traditionally contained two numeration systems: a general one, which was highly regular, decimal, and extraordinarily extensive; and a specific one, which was restricted to specific objects, based on diverging counting units, and interspersed with binary steps. While most of these characteristics are shared by numeration systems in related languages in Oceania, the binary steps are unique. To account for these characteristics, this article draws on—and tries to integrate—insights from anthropology, archeology, linguistics, psychology, and cognitive science more generally. The analysis (...) of mental arithmetic with these systems reveals that both types of systems entailed cognitive advantages and served important functions in the cultural context of their application. How these findings speak to more general questions revolving around the theoretical models and evolutionary trajectory of numerical cognition will be discussed in the. (shrink)

This conclusion of the debate on anthropology’s role in cognitive science provides some clarifications and an overview of emergent themes. It also lists, as cases of good practice, some examples of productive cross-disciplinary collaboration that evince a forward momentum in the relationship between anthropology and the other cognitive sciences.

Speakers of English frequently associate location in space with valence, as in moving up and down the “social ladder.” If such an association also holds for the sagittal axis, an object “in front of” another object would be evaluated more positively than the one “behind.” Yet how people conceptualize relative locations depends on which frame of reference (FoR) they adopt—and hence on cross‐linguistically diverging preferences. What is conceptualized as “in front” in one variant of the relative FoR (e.g., translation) is (...) “behind” under another variant (reflection), and vice versa. Do such diverging conceptualizations of an object's location also lead to diverging evaluations? In two studies employing an implicit association test, we demonstrate, first, that speakers of German, Chinese, and Japanese indeed evaluate the object “in front of” another object more positively than the one “behind.” Second, and crucially, the reversal of which object is conceptualized as “in front” involves a corresponding reversal of valence, suggesting an impact of linguistically imparted FoR preferences on evaluative processes. (shrink)

Beller, Bender, and Medin should be congratulated for their generous attempt at expressive academic therapy for troubled interdisciplinary relationships. In this essay, I suggest that a negative answer to the central question (“Should anthropology be part of cognitive science?”) is not necessarily distressing, that in retrospect the breakup seems fairly predictable, and that disenchantment with the cognitive revolution is nothing new.

Review of "Quantum Dialogue - The Making of a Revolution" by Mara Beller.