Decision making often requires making arbitrary choices (“picking”) between alternatives that make no difference to the agent, that are equally desirable, or when the potential reward is unknown. Using event-related potentials we tested the effect of age on this common type of decision making. We compared two age groups: ages 18–25, and ages 41–67 on a masked-priming paradigm while recording EEG and EMG. Participants pressed a right or left button following either an instructive arrow cue or a neutral free-choice picking (...) cue, both preceded by a masked arrow or neutral prime. The prime affected the behavior on the Instructed and the Free-choice picking conditions both in the younger and older groups. Moreover, electrophysiological “Change of Intention” (ChoI) was observed via lateralized readiness potential (LRP) in both age groups – the polarity of the LRP indicated first preparation to move the primed hand and then preparation to move the other hand. However, the older participants were more conservative in responding to the instructive cue, exhibiting a speed-accuracy trade-off, with slower response times, less errors in incongruent trials, and reduced probability of EMG activity in the non-responding hand. Additionally, “Change of Intention” was observed in both age groups in slow RT trials with a neutral prime as a result of an endogenous early intention to respond in a direction opposite the eventual instructing arrow cue. We conclude that the basic behavioral and electrophysiological signatures of implicit ChoI are common to a wide range of ages. However, older subjects, despite showing a similar dynamic decision trajectory as younger adults, are slower, more prudent and finalize the decision making process before letting the information affect the peripheral motor system. In contrast, the flow of information in younger subjects occurs in parallel to the decision process. (shrink)

We present experimental evidence that supports the thesis :602–625, 2015, Br J Philos Sci 70:77–102, 2019; Bradley in Decisions theory with a human face, Cambridge University Press, Cambridge, 2017; Goldschmidt and Nissan-Rozen in Synthese 198:7553–7575, 2021) that people might positively or negatively desire risky prospects conditional on only some of the prospects’ outcomes obtaining. We argue that this evidence has important normative implications for the central debate in normative decision theory between two general approaches on how to rationalize several common (...) patterns of preference, which are ruled out as irrational by orthodox decision theory, namely the re-individuation approach and the non-expected utility approach. (shrink)

The semantic paradoxes, whose paradigm is the Liar, played a crucial role at a crucial juncture in the development of modern logic. In his 1908 seminal paper, Russell outlined a system, soon to become that of the Principia Mathematicae, whose main goal was the solution of the logical paradoxes, both semantic and settheoretic. Russell did not distinguish between the two and his theory of types was designed to solve both kinds in the same uniform way. Set theoreticians, however, were content (...) to treat only the set-theoretic paradoxes, putting aside the semantic ones as a non-mathematical concern. This separation was explicitly proposed, eighteen years after Russell’s paper, by Ramsey, though he, like Russell, advocated a system that addresses both kinds. Since then, the semantic paradoxes have been viewed within the perspective of the theory of truth, where they have occupied a respectable niche, but one of rather specialized interest. (shrink)

John Forrester’s book Thinking in Cases does not provide one ultimate definition of what it means to ‘think in cases’, but rather several alternatives: a ‘style of reasoning’ (Hacking), ‘paradigms’ or ‘exemplars’ (Kuhn), and ‘language games’ (Wittgenstein), to mention only a few. But for Forrester, the stories behind each of the figures who suggested these different models for thinking (in cases) are as important as the models themselves. In other words, the question for Forrester is not only what ‘thinking in (...) cases’ is, but also who might be considered a ‘thinker in cases’. Who could serve as a case study for such a thinker? The major candidates that Forrester considers in his book to be ‘thinkers in cases’ are Kuhn, Foucault, Freud, and Winnicott. In what follows, I will argue that one name is missing from this list, as well as from Forrester’s book more generally: Michael Balint. This name is missing not only because Balint was a great ‘thinker in cases’, but also because we have some reasons to believe that Forrester himself thought so and wished to add him to the list. Forrester, I will argue, found in Balint an exemplar for a thinker in cases that combined elements from Winnicott’s psychoanalytic theory and Foucault’s philosophy of the case-based sciences. (shrink)

We trace self-reference phenomena to the possibility of naming functions by names that belong to the domain over which the functions are defined. A naming system is a structure of the form ,{ }), where D is a non-empty set; for every a∈ D, which is a name of a k-ary function, {a}: Dk → D is the function named by a, and type is the type of a, which tells us if a is a name and, if it is, (...) the arity of the named function. Under quite general conditions we get a fixed point theorem, whose special cases include the fixed point theorem underlying Gödel's proof, Kleene's recursion theorem and many other theorems of this nature, including the solution to simultaneous fixed point equations. Partial functions are accommodated by including “undefined” values; we investigate different systems arising out of different ways of dealing with them. Many-sorted naming systems are suggested as a natural approach to general computatability with many data types over arbitrary structures. The first part of the paper is a historical reconstruction of the way Gödel probably derived his proof from Cantor's diagonalization, through the semantic version of Richard. The incompleteness proof–including the fixed point construction–result from a natural line of thought, thereby dispelling the appearance of a “magic trick”. The analysis goes on to show how Kleene's recursion theorem is obtained along the same lines. (shrink)

We show that the non-existence of mad families is equiconsistent with \, answering an old question of Mathias. We also consider the above result in the general context of maximal independent sets in Borel graphs, and we construct a Borel graph G such that \ “there is no maximal independent set in G” is equiconsistent with \ “there exists an inaccessible cardinal”.

"מהדורה מוערת ומבוארת של ספר מגלה טמירין על פי דפוס ראשון, כתבי יד מפוזרים, והשוואה לנוסח הספר ביידיש. לספר נלווה כרך מיוחד של נספחים שנוגעים להתהוות הספר ולתכניו, וכלולים בו דיונים עקרוניים שקשורים לכמה סוגיות שעולות בו: מדרש השמות המוצפנים, מקורותיו החסידיים של המחבר, הנוסחים השונים בכתב-יד, והנוסח המיוחד של הספר ביידיש" -- מעטפת אחורית.

After experiencing the COVID-19 pandemic, the status and mechanisms of leadership, and the challenges for medical workers in terms of family–work conflicts, have caused widespread concern. In the post-pandemic era, based on role theory and the stressor-detachment model, this paper seeks to break the “black box” of negative effects that can be caused by leadership, research the mechanism and boundary conditions of those negative effects, and explore factors to reduce those negative effects. We recruited 1,010 Chinese medical workers fighting COVID-19 (...) on the frontline. Our study results showed that there was a significant negative correlation between empowering leadership and work–family conflict, and this relationship was completely mediated by role stress, while psychological detachment moderated the relationship between role stress and work–family conflict. Moreover, psychological detachment moderated the mediating effect of empowering leadership on work–family conflict through role stress. Therefore, higher levels of psychological detachment were less conducive to medical workers' family–work conflict. This study has important theoretical significance and practical value for revealing the negative effects and mechanisms of empowering leadership and for medical workers to better deal with work–family relations. (shrink)

We show the Borel Conjecture is consistent with the continuum large.

If we try to evaluate the sentence on line 1 we ¯nd ourselves going in an unending cycle. For this reason alone we may conclude that the sentence is not true. Moreover we are driven to this conclusion by an elementary argument: If the sentence is true then what it asserts is true, but what it asserts is that the sentence on line 1 is not true. Consequently the sentence on line 1 is not true. But when we write this (...) true conclusion on line 2 we ¯nd ourselves repeating the very same sentence. It seems that we are unable to deny the truth of the sentence on line 1 without asserting it at the same time. (shrink)

In this book, best-selling author and mathematician Haim Shapira presents an introduction to mathematical theories which deal with the most beautiful concept ever invented by humankind: infinity. Written in clear, simple language and aimed at a lay audience, this book also offers some strategies that will allow readers to try their ability at solving truly fascinating mathematical problems. Infinity is a deeply counter-intuitive concept that has inspired many great thinkers. In this book we will meet many sages, both familiar (...) and unfamiliar: Zeno and Pythagoras, Georg Cantor and Bertrand Russell, Sofia Kovalevskaya and Emmy Noether, al-Khwarizmi and Euclid, Sophie Germain and Srinivasa Ramanujan. The world of infinity is inhabited by many paradoxes, and so is this book: Zeno paradoxes, Hilbert's "Infinity Hotel", Achilles and the gods paradox, the paradox of heaven and hell, the Ross-Littlewood paradox involving tennis balls, the Galileo paradox and many more. Aimed at the curious but non-technical reader, this book refrains from using any fearsome mathematical symbols. It uses only the most basic operations of mathematics: adding, subtracting, multiplication, division, powers and roots - that is all. But that doesn't mean that a bit of deep thinking won't be necessary and rewarding. Writing with humour and lightness of touch, Haim Shapira banishes the chalky pallor of the schoolroom and offers instead a truly thrilling intellectual journey. Fasten your seatbelt - we are going to Infinity, and beyond! (shrink)

Many philosophers in the field of meta-ethics believe that rational degrees of confidence in moral judgments should have a probabilistic structure, in the same way as do rational degrees of belief. The current paper examines this position, termed “moral Bayesianism,” from an empirical point of view. To this end, we assessed the extent to which degrees of moral judgments obey the third axiom of the probability calculus, ifP(A∩B)=0thenP(A∪B)=P(A)+P(B), known as finite additivity, as compared to degrees of beliefs on the one (...) hand and degrees of desires on the other. Results generally converged to show that degrees of moral judgment are more similar to degrees of belief than to degrees of desire in this respect. This supports the adoption of a Bayesian approach to the study of moral judgments. To further support moral Bayesianism, we also demonstrated its predictive power. Finally, we discuss the relevancy of our results to the meta-ethical debate between moral cognitivists and moral non-cognitivists. (shrink)

Simple locative sentences show a variety of pseudo-quantificational interpretations. Some locatives give the impression of universal quantification over parts of objects, others involve existential quantification, and yet others cannot be characterized by either of these quantificational terms. This behavior is explained by virtually all semantic theories of locatives. What has not been previously observed is that similar quantificational variability is also exhibited by locative sentences containing indefinites with the ‘a’ article. This phenomenon is especially problematic for traditional existential treatments of (...) indefinites. We propose a solution where indefinites denote properties and are assigned locations similarly to other spatial descriptions. This Property-Eigenspace Hypothesis accounts for the correlation between the interpretations of locative indefinites and the pseudo-quantificational effects with simple entity-denoting NPs. Thereby, the proposal opens up a new empirical domain for property-based theories of indefinites, with implications for the analysis of collective descriptions, generics, negative polarity items and part–whole structure. (shrink)

This engaging work of comparative philosophy puts the Chinese and American philosophical traditions into a mutually informative and transformative philosophical dialogue on the way to developing a new form of Confucian pragmatism.

The goal of this paper is a comprehensive analysis of basic reasoning patterns that are characteristic of vague predicates. The analysis leads to rigorous reconstructions of the phenomena within formal systems. Two basic features are dealt with. One is tolerance: the insensitivity of predicates to small changes in the objects of predication (a one-increment of a walking distance is a walking distance). The other is the existence of borderline cases. The paper shows why these should be treated as different, though (...) related phenomena. Tolerance is formally reconstructed within a proposed framework of contextual logic, leading to a solution of the Sorites paradox. Borderline-vagueness is reconstructed using certain modality operators; the set-up provides an analysis of higher order vagueness and a derivation of scales of degrees for the property in question. (shrink)

Please send the completed questionnaire by October 1, 2005 either electronically to Vincent F. Hendricks ([email protected]) or John Symons ([email protected]) or mail (fax) to Vincent F. Hendricks, Dept. of Philosophy and Science Studies, Roskilde University, DK4000 Roskilde, Denmark, Fax: +45 4674 3012..

In recent years, researchers have tried to unpack the meaning of the term flexibility and test how different constructs of flexibility are associated with various psychopathologies. For example, it is apparent that high levels of flexibility allow individuals to adaptively cope and avoid psychopathology following traumatic events, but the precise nature of this flexibility is ambiguous. In this study we focus on two central constructs: cognitive flexibility – the ability to recognize and implement possible responses to a situation– and regulatory (...) flexibility – the ability to modulate emotional expression and experience across situations. We aim to explore the connection between cognitive and regulatory flexibility and evaluate their relative effect on PTSD symptoms. Trauma-exposed college students were assessed for cognitive and regulatory flexibility and current and lifetime PTSD symptoms. We predicted and found a relatively weak, yet significant, overlap between participants’ cognitive and regulatory flexibility. Importantly, while both cognitive and regulatory flexibility were associated with lifetime PTSD symptoms, only cognitive flexibility was associated with current PTSD symptoms. The findings illuminate the possible value of differentiating between constructs of flexibility in predicting short and long-term effects of traumatic exposure and may pave the ground for developing personalized intervention methods. (shrink)

Assuming the existence of a supercompact cardinal, we construct a model where, for some uncountable regular cardinal κ, there are no κ‐mad families.

Starting from a model with a Laver-indestructible supercompact cardinal $$\kappa $$, we construct a model of $$ZF+DC_{\kappa }$$ where there are no $$\kappa $$ -mad families.

The author encountered evocations of suffering and death in all the studies and research he devoted, over 40 or so years, to the intellectual, social and religious life of western Muslim Judaism, and indeed the whole of traditional Jewish thought and its varied modes of expression: rabbinical law, Hebrew poetry, the literature of homily and preaching, mystical writings and the kabbala, dialect and popular literatures in Judeo-Arabic and Judeo-Berber. Some passages are taken from the Zohar (‘The town the angel of (...) death cannot enter’, for instance). The author also refers to the Talmud and magic therapeutics, the power of sacred names, Jewish and Muslim miracle workers, hunting down and casting out demons, etc. Agony, refusal to die, joyous commemoration of death, the cemetery and the cult of the dead, Judeo-Muslim pilgrimages, the wealth of the customs, beliefs and rites of the past lead the author to reflect on the question of death in the present-day world. (shrink)

It is shown that there is a subalgebra of the measure algebra forcing dominating reals. Also results are given about iterated forcing connected with random reals.

_ Source: _Volume 25, Issue 2, pp 209 - 231 The essay explores Moses Mendelssohn’s concept of natural religion by contrasting it with the way it was understood by his contemporaries. An examination of key aspects—the role of pagans, knowledge transfer, the possible redundancy of revealed religion, and Judaism’s attitude toward “unphilosophical” knowledge—suggests that Mendelssohn’s view was not only shaped through direct and indirect reactions to his intellectual surrounding, but also that it employed Christian arguments in order to construct an (...) unapologetic image of Judaism as a universal religion. This view challenged the designation of Christianity as a philosophical religion, and, by extension, the Christian understanding of the Enlightenment Project. (shrink)

本书系作者专心致志撰写22年而成的150余万字的《新伦理学》(商务印书馆2008年修订版)之精粹。它几乎将每个理论问题都化为一个鲜活的人生案例,通过解析各个案例而系统展现伦理学博大精深之原理,因而名之 为《伦理学与人生》。.

This article counters the popular misunderstanding that China lacks a conception of human rights in its philosophical heritage. The authors demonstrate that even divergent traditions such as Classical Confucianism and Mohism provide strong and pervasive antecedents for human rights ideology, and both have much to contribute to the contemporary Chinese articulation of human rights theory and practice. The first part of the article shows that traditional Confucian values have the capacity to produce a social environment in which rights outcomes are (...) realized, yet without recourse to the full legal mechanisms of Western claim-rights. The second part of the article reveals that Mohism offers several insights and motivations for contemporary human rights ideology. Thus, the authors substantiate that historic Chinese philosophy supports a meaningful framework for human rights, refuting the claim that human rights is alien to the Chinese way. (shrink)

Résumé L’auteur a rencontré les évocations de la souffrance et de la mort dans toutes les études et recherches qu’il consacre depuis environ 40 ans à la vie intellectuelle, sociale et religieuse du judaïsme d’Occident musulman, soit l’ensemble de la pensée juive traditionnelle et ses divers modes d’expression : le droit rabbinique, la poésie d’expression hébraïque, la littérature homilétique et prédicative, les écrits mystiques et la kabbale, les littératures dialectales et populaires en judéo-arabe et judéo-berbère. Certains passages sont extraits du (...) Zohar (« La ville où l’ange de la mort n’entre pas » par exemple). L’auteur fait référence aussi à la thérapeutique talmudique et à celle magique ( Le Talmud ), à la puissance des noms sacrés, aux thaumaturges juifs et musulmans, à la chasse aux démons, etc. L’agonie, le refus de mourir, la commémoration joyeuse de la mort, le cimetière et le culte des morts, les pèlerinages judéo-musulmans, la richesse des coutumes, croyances et rites du passé amènent l’auteur à se poser la question de la mort dans le monde actuel. (shrink)

There are three sections in this paper. The first is a philosophical discussion of the general problem of reasoning under limited deductive capacity. The second sketches a rigorous way of assigning probabilities to statements in pure arithmetic; motivated by the preceding discussion, it can nonetheless be read separately. The third is a philosophical discussion that highlights the shifting contextual character of subjective probabilities and beliefs.

In this paper we study the question assuming MA+⌝CH does Sacks forcing or Laver forcing collapse cardinals? We show that this question is equivalent to the question of what is the additivity of Marczewski's ideals 0. We give a proof that it is consistent that Sacks forcing collapses cardinals. On the other hand we show that Laver forcing does not collapse cardinals.

In this work we give a complete answer as to the possible implications between some natural properties of Lebesgue measure and the Baire property. For this we prove general preservation theorems for forcing notions. Thus we answer a decade-old problem of J. Baumgartner and answer the last three open questions of the Kunen-Miller chart about measure and category. Explicitly, in \S1: (i) We prove that if we add a Laver real, then the old reals have outer measure one. (ii) We (...) prove a preservation theorem for countable-support forcing notions, and using this theorem we prove (iii) If we add ω 2 Laver reals, then the old reals have outer measure one. From this we obtain (iv) $\operatorname{Cons}(\mathrm{ZF}) \Rightarrow \operatorname{Cons}(\mathrm{ZFC} + \neg B(m) + \neg U(m) + U(c))$ . In \S2: (i) We prove a preservation theorem, for the finite support forcing notion, of the property " $F \subseteq ^\omega\omega$ is an unbounded family." (ii) We introduce a new forcing notion making the old reals a meager set but the old members of ω ω remain an unbounded family. Using this we prove (iii) $\operatorname{Cons}(\mathrm{ZF}) \Rightarrow \operatorname{Cons}(\mathrm{ZFC} + U(m) + \neg B(c) + \neg U(c) + C(c))$ . In \S3: (i) We prove a preservation theorem, for the finite support forcing notion, of a property which implies "the union of the old measure zero sets is not a measure zero set," and using this theorem we prove (ii) $\operatorname{Cons}(\mathrm{ZF}) \Rightarrow \operatorname{Cons}(\mathrm{ZFC} + \neg U(m) + C(m) + \neg C(c))$. (shrink)

Naïve realism is the view that veridical experiences are fundamentally relations of acquaintance to external objects and their features, and multidisjunctivism is the conjunction of naïve realism and the view that hallucinatory experiences don’t share a common fundamental kind. Multidisjunctivism allegedly removes the screening-off worry over naïve realism, and the relevant literature suggests that multidisjunctivism is one of the naïve realist responses to the worry. The present paper argues that the multidisjunctive solution is implicitly changing the subject, so the impression (...) that the multidisjunctivist is addressing the screening-off problem is illusory. (shrink)

We define the ideal with the property that a real omits all Borel sets in the ideal which are coded in a transitive model if and only if it is an amoeba real over this model. We investigate some other properties of this ideal. Strolling through the "amoeba forest" we gain as an application a modification of the proof of the inequality between the additivities of Lebesgue measure and Baire category.

The paper is concerned with the way in which “ontology” and “realism” are to be interpreted and applied so as to give us a deeper philosophical understanding of mathematical theories and practice. Rather than argue for or against some particular realistic position, I shall be concerned with possible coherent positions, their strengths and weaknesses. I shall also discuss related but different aspects of these problems. The terms in the title are the common thread that connects the various sections.