This book compares various approaches to the interpretation of quantum mechanics, in particular those which are related to the key words "the Copenhagen interpretation", "the antirealist view", "quantum logic" and "hidden variable theory". Using the concept of "correlation" carefully analyzed in the context of classical probability and in quantum theory, the author provides a framework to compare these approaches. He also develops an extension of probability theory to construct a local hidden variable theory. The book should be of interest for (...) physicists and philosophers of science interested in the foundations of quantum theory. (shrink)

This paper offers a new semantic theory of existentials (sentences of the form There be NP pivot XP coda ) in which pivots are (second order) predicates and codas are modifiers. The theory retains the analysis of pivots as denoting generalized quantifiers (Barwise and Cooper 1981; Keenan 1987), but departs from previous analyses in analyzing codas as contextual modifiers on a par with temporal/locative frame adverbials. Existing analyses universally assume that pivots are arguments of some predicate, and that codas are (...) main or secondary predicates. It is shown that these analyses cannot account for the behavior of codas with quantifiers and for the interaction of multiple codas, both of which receive a simple treatment on the proposed theory. The assimilation of codas to frame adverbials explains several semantic properties which have not been analyzed in the semantic literature, and that distinguish existentials from their copular counterparts. Furthermore, it highlights important properties of the semantics of modification and its relation to predication. (shrink)

According to a prominent view in Jewish-Halakhic literature, “mitzvot (commandments) require intention.” That is, to fulfill one’s obligation in performing a commandment, one must intend to perform the act because it’s a mitzvah; one must take the fact that one’s act is a mitzvah as her reason for doing the action. I argue that thus understood, this Halakhic view faces a revised version of Thomas Hurka’s recent dilemma for structurally similar views in ethics: either it makes it a necessary condition (...) for the act’s being a mitzvah that one has a false belief about the act’s Halakhic status, or it commits proponents of the “mitzvot require intention” view to a sort of rational failure in performing the mitzvot. The dilemma arises, however, only if we interpret this Halakhic view as requiring one to have a belief about her act’s Halakhic status in order for it to have this status. I suggest that the dilemma can be avoided by interpreting the intention requirement as requiring a make-belief, instead of a belief. Under this understanding, Halakha (or God) doesn’t care about why one performs an act of a mitzvah, but rather about how she does it; how she sees and experiences her action. This suggests another form of worship central to Judaism—worship via make-believing. (shrink)

More specifically, one notices that X1  X2, P1  P2  0 where X1, X2 are the position operators for the first and second particles respectively, and P1, P2 their momenta operators. This means that, in principle, one can prepare the pair of particles with simultaneously known values of X1  X2 and P1  P2. Then the knowledge of the value of P2 allows to infer the value of P1.(However, performing the experiment with these continuous variables is technically (...) impossible and it remains a thought experiment.). (shrink)

In a fundamental paper [Phys. Rev. Lett. 78, 325 (1997)] Grover showed how a quantum computer can …nd a single marked object in a database of size N by using only O(pN ) queries of the oracle that identi…es the object. His result was generalized to the case of …nding one object in a subset of marked elements. We consider the following computational problem: A subset of marked elements is given whose number of elements is either M or K, M (...) < K, our task is to determine which is the case. We show how to solve this problem with a high probability of success using only iterations of Grover’s basic step (and no other algorithm). Let m be the required number of iterations; we prove that under certain restrictions on the sizes of M and K the estimation.. (shrink)

The existence of fields besides gravitation may provide us with a way to decide empirically whether spacetime is really a nonflat Riemannian manifold or a flat Minkowskian manifold that appears curved as a result of gravitational distortions. This idea is explained using a modification of Poincaré's famous 'diskworld'.

A local "resolution" of the Einstein-Podolsky-Rosen Paradox by way of a mechanical analogue (roul ette) is presented together with some notes regarding the consequences of such models for the foundations of mathematics and the theory of probability.

COVID-19 outbroke in Wuhan, China, in December 2019 and promptly became a pandemic worldwide, endangering health and life but also causing mild-to-severe psychological distress to lots of people, including healthcare workers. Several studies have already showed a high prevalence of depression, anxiety, and post-traumatic symptoms in HCWs but less is known about the efficacy of psychological interventions for relieving their mental distress. The aims of this study were: to evaluate the psychological adjustment of Italian HCWs during the COVID-19 pandemic; to (...) investigate the efficacy of an expressive writing intervention, based on Pennebaker’s paradigmatic protocol, on their psychological adjustment; to analyze if outcomes of EW vary in function of individual differences. Fifty-five HCWs were randomly assigned to one of two writing conditions: EW or neutral writing. Psychological adjustment was assessed before and after three writing sessions. Participants who received the EW intervention showed higher improvements in ptsd, depression, and global psychopathology symptoms. Improvements in EW group varied in function of age, gender, marital status, and baseline values: young, men, married participants and those who had higher baseline scores showed a higher reduction of psychological distress symptoms while women, single and those who had lower baseline value showed increased social support, and resilience. In conclusion, the EW intervention had positive effects which varied in function of individual differences on HCWs’ psychological health. (shrink)

The American and some other constitutions entrench property rights by requiring super majoritarian voting as a condition for amending or revoking their own provisions. Following Buchanan and Tullock [The Calculus of Consent, Logical Foundations of Constitutional Democracy (University of Michigan Press, Ann Arbor), 1962], this paper analyzes individuals' interests behind a veil of ignorance, and shows that under some standard assumptions, a (simple) majoritarian rule should be adopted. This result changes if one assumes that preferences are consistent with the behavioral (...) phenomenon known as the endowment effect. It then follows that (at least some) property rights are best defended by super majoritarian protection. The paper then shows that its theoretical results are consistent with a number of doctrines underlying American Constitutional Law. (shrink)

Este artigo trata sobre as possíveis aproximações entre a filosofia de Heidegger e a filosofia de Heidegger. Essas aproximações são desenvolvidas em função do mundo cotidiano. Busca-se esclarecer quais são as dificuldades envolvidas no estudo de ambos os autores, quando a intenção visa diretamente o ser humano, sendo esses elementos identificados com cotidiano. Na primeira e na segunda parte apresentam-se os dois autores e na terceira parte é realizada uma interface através da filosofia de Tugendhat. Nela se destaca a crítica (...) à Heidegger e a adoção de uma posição naturalista. Conclui-se que tanto Heidegger quanto Hume possuem âmbitos subjacentes que determinam a suas análises do cotidiano. Estes âmbitos subjacentes se diferenciam e configuram a dificuldade fundamental nas tentativas de reunir elementos dos dois autores. (shrink)

Resumo : este artigo analisa a apropriação que Agamben faz das concepções heideggerianas de facticidade e Ereignis. Esta apropriação é analisada dentro do escopo da obra Homo Sacer. O desenvolvimento destas duas seções busca responder a seguinte pergunta: como se explica a passagem da ontologia para dentro da filosofia política em Agamben? Para responder esta pergunta, na primeira seção, busca-se compreender uma ampliação possível dos problemas da dominação da técnica. Na segunda seção, estes problemas são submetidos a uma perspectiva biolítica (...) apresentada por Agamben. A resposta mostra que Agamben aproxima as concepções de Heidegger com o tema da indistinção entre poder constituinte e poder constituído, direcionando-se para uma releitura da relação potência e ato com o poder. (shrink)

Boltzmann’s approach to statistical mechanics is widely believed to be conceptually superior to Gibbs’ formulation. However, the microcanonical distribution often fails to behave as expected: The ergodicity of the motion relative to it can rarely be established for realistic systems; worse, it can often be proved to fail. Also, the approach involves idealizations that have little physical basis. Here we take Khinchin’s advice and propose a de…nition of equilibrium that is more realistic: The de…nition re‡ects the fact that the system (...) is made of a great number of particles, and implies that all measurable macroscopic observables have steady values. (shrink)

We develop and defend the thesis that the Hilbert space formalism of quantum mechanics is a new theory of probability. The theory, like its classical counterpart, consists of an algebra of events, and the probability measures defined on it. The construction proceeds in the following steps: (a) Axioms for the algebra of events are introduced following Birkhoff and von Neumann. All axioms, except the one that expresses the uncertainty principle, are shared with the classical event space. The only models for (...) the set of axioms are lattices of subspaces of inner product spaces over a field K. (b) Another axiom due to Soler forces K to be the field of real, or complex numbers, or the quaternions. We suggest a probabilistic reading of Soler's axiom. (c) Gleason's theorem fully characterizes the probability measures on the algebra of events, so that Born's rule is derived. (d) Gleason's theorem is equivalent to the existence of a certain finite set of rays, with a particular orthogonality graph (Wondergraph). Consequently, all aspects of quantum probability can be derived from rational probability assignments to finite "quantum gambles". (e) All experimental aspects of entanglement- the violation of Bell's inequality in particular- are explained as natural outcomes of the probabilistic structure. (f) We hypothesize that even in the absence of decoherence macroscopic entanglement can very rarely be observed, and provide a precise conjecture to that effect .We also discuss the relation of the present approach to quantum logic, realism and truth, and the measurement problem. (shrink)

Localist models of spreading activation (SA) and models assuming distributed representations offer very different takes on semantic priming, a widely investigated paradigm in word recognition and semantic memory research. In this study, we implemented SA in an attractor neural network model with distributed representations and created a unified framework for the two approaches. Our models assume a synaptic depression mechanism leading to autonomous transitions between encoded memory patterns (latching dynamics), which account for the major characteristics of automatic semantic priming in (...) humans. Using computer simulations, we demonstrated how findings that challenged attractor‐based networks in the past, such as mediated and asymmetric priming, are a natural consequence of our present model’s dynamics. Puzzling results regarding backward priming were also given a straightforward explanation. In addition, the current model addresses some of the differences between semantic and associative relatedness and explains how these differences interact with stimulus onset asynchrony in priming experiments. (shrink)

A deterministic model that accounts for the statistical behavior of random samples of identical particles is presented. The model is based on some nonmeasurable distribution of spin values in all directions. The mathematical existence of such distributions is proved by set-theoretical techniques, and the relation between these distributions and observed frequencies is explored within an appropriate extension of probability theory. The relation between quantum mechanics and the model is specified. The model is shown to be consistent with known polarization phenomena (...) and the existence of macroscopic magnetism. Finally.. (shrink)

Statistical learning is often taken to lie at the heart of many cognitive tasks, including the acquisition of language. One particular task in which probabilistic models have achieved considerable success is the segmentation of speech into words. However, these models have mostly been tested against English data, and as a result little is known about how a statistical learning mechanism copes with input regularities that arise from the structural properties of different languages. This study focuses on statistical word segmentation in (...) Arabic, a Semitic language in which words are built around consonantal roots. We hypothesize that segmentation in such languages is facilitated by tracking consonant distributions independently from intervening vowels. Previous studies have shown that human learners can track consonant probabilities across intervening vowels in artificial languages, but it is unknown to what extent this ability would be beneficial in the segmentation of natural language. We assessed the performance of a Bayesian segmentation model on English and Arabic, comparing consonant-only representations with full representations. In addition, we examined to what extent structurally different proto-lexicons reflect adult language. The results suggest that for a child learning a Semitic language, separating consonants from vowels is beneficial for segmentation. These findings indicate that probabilistic models require appropriate linguistic representations in order to effectively meet the challenges of language acquisition. (shrink)

In the mid-nineteenth century George Boole formulated his ‘conditions of possible experience’. These are equations and ineqaulities that the relative frequencies of events must satisfy. Some of Boole's conditions have been rediscovered in more recent years by physicists, including Bell inequalities, Clauser Horne inequalities, and many others. In this paper, the nature of Boole's conditions and their relation to propositional logic is explained, and the puzzle associated with their violation by quantum frequencies is investigated in relation to a variety of (...) approaches to the interpretation of quantum mechanics. * While preparing this paper for publication I have learnt of the untimely death of Professor J. S. Bell, and I wish to dedicate the paper to his memory. This research was undertaken while I spent a sabbatical leave at Wolfson College, and the History and Philosophy of Science Department at the University of Cambridge. I would like to thank Michael Redhead and Jeremy Butterfield for their hospitality and for helpful discussions. A first draft of this paper has been distributed among the participants of the conference 'Einstein in Context' which was held in Israel, in April 1990.1 have benefited from the comments of many colleagues. I would like to thank in particular Arthur Fine who enlightened me on the prism models, David Albert. Maya Bar-Hillel. Yemima Ben-Menachem, Mara Beller. Simon Saunders, and Mark Steiner. This research is partially supported by the Edelstein Center for the History and Philosophy of Science at the Hebrew University. (shrink)

In contract law, common mistake or frustration are grounds for relieving the promisor from the obligation to perform. Conventional economic theory justifies relief by appealing to its effect on the promisee’s incentives, namely, her incentives to act efficiently to prevent the unfavorable occurrence or its associated losses. The Article challenges this justification. While relief may indeed generate efficient incentives under certain conditions, these are not the conditions in which it is in fact granted. Consequently, the cases in which the conventional (...) theory recommends that relief be provided and those in which it is actually awarded, are incompatible. Based upon this premise, the Article develops a new theory of the law of common mistake and frustration, bearing descriptive and prescriptive implications. Under the new theory, the purpose of relief is not to incentivize promisees, but rather to determine the legal consequences of non-contemplated events. Viewed in this light, the Article identifies a new set of efficiency rationales for the rule. Under specified conditions, relief allows contracting parties to (1) refrain from welfare-reducing trade in unquantifiable risk; (2) maintain control over the distribution of contractual gains; and (3) overcome disincentives to form efficient contracts. The Article analyzes the conditions under which these virtues are applicable, and finds that they generally correspond to those in which relief is actually awarded. (shrink)

This book explores a key issue in linguistic theory, the systematic variation in form between semantic equivalents across languages. Two contrasting views of the role of lexical meaning in the analysis of such variation can be found in the literature: (i) uniformity, whereby lexical meaning is universal, and variation arises from idiosyncratic differences in the inventory and phonological shape of language-particular functional material, and (ii) transparency, whereby systematic variation in form arises from systematic variation in the meaning of basic lexical (...) items. (shrink)

Resenha do livro de Ceticismo e Naturalismo: algumas variedades, de P. F. Strawson. Traduçáo de Jaimir Conte. Sáo Leopoldo: Editora Unisinos, 2008, 114 páginas.

Israel’s discursive strategy for legitimizing the displacement of Palestinians in 1948 involved describing it as part of a regional “population exchange.” This argument contributed to three critical characteristics of Israeli citizenship. First, it solidified an understanding of citizenship as a negation of persecution and a haven for would-be Jewish refugees. Second, it tied Mizrahi claims against states across the Middle East to Palestinian claims against Israel. Israel thus exploited Mizrahi refugee rights for its geostrategic interests—a fight against the claims of (...) Palestinian refugees. This had detrimental material consequences for both groups. Third, this strategy contributed to the construction of Palestinians as an “exchangeable remainder” and a demographic threat that could potentially pose a risk to the Jewish majority. Ultimately, Israel irrevocably entangled the displacement histories of three groups: Ashkenazi Jews, Mizrahi Jews, and Arab Palestinians. This Gordian knot remains with us today, and is reflected in a stratified Israeli society. But the vision that this symposium suggests we consider, that of “historical justice,” demands that it be undone. This Article therefore offers a way in which the refugee histories could perhaps one day be disentangled: a program of reparations for the Mizrahi and Palestinian citizens of Israel. (shrink)

Contemporary versions of Bell’s argument against local hidden variable (LHV) theories are based on the Clauser Horne Shimony and Holt (CHSH) inequality, and various attempts to generalize it. The amount of violation of these inequalities cannot exceed the bound set by the Grothendieck constants. However, if we go back to the original derivation by Bell, and use the perfect anticorrelation embodied in the singlet spin state, we can go beyond these bounds. In this paper we derive two-particle Bell inequalities for (...) traceless two-outcome observables, whose violation in the singlet spin state go beyond the Grothendieck constant both for the two and three dimensional cases. Moreover, creating a higher dimensional analog of perfect correlations, and applying a recent result of Alon and his associates (Invent. Math. 163 499 (2006)) we prove that there are two-particle Bell inequalities for traceless two-outcome observables whose violation increases to in…nity as the dimension and number of measurements grow. Technically these result are possible because perfect correlations (or anti-correlations) allow us to transport the indices of the inequality from the edges of a bipartite graph to those of the complete graph. Finally, it is shown how to apply these results to mixed Werner states, provided that the noise does not exceed 20%. (shrink)

Este estudo trata da crítica que Sloterdijk faz ao humanismo e a Heidegger em seu livro Regra para o parque humano uma resposta à carta de Heidegger sobre o humanismo. Essa crítica se desenvolve contra a concepção do humano como animal rationale de origem humanista, e contra a uma onto-antropologia imputada à Heidegger por Sloterdijk. O desenvolvimento mostra que elementos de domesticação e seleção persistem desde a Antinguidade e hoje se apresentam sob novas formas. A proposta de Sloterdijk é a (...) elaboração de uma antropotécnica para lidar com o humano. Nesse contexto, esse artigo busca responder a seguinte questão: qual o estatuto da biopolítica em um cenário da antropotécnica plenamente desenvolvida? Os resultados mostram que, em tal cenário, ainda existiria biopolítica, mas a determinação das diretrizes poderia não mais ser feita por humanos, mas apenas por um aparato técnico. (shrink)

Este artigo aborda as definições de objeto técnico conforme a filosofia de Gilbert Simondon, com foco nas críticas à perspectiva antropocêntrica da técnica. Investiga-se se o objeto técnico, na sua demanda por uma cultura técnica e no próprio processo de evolução/concretização, apresenta um caráter não antropocêntrico. Tal apelo não antropocêntrico pode ser evidenciado pelo avanço das técnicas de comunicação e processamento, como observado nos modelos de inteligência artificial da segunda metade do século XXI. O artigo explora esses aspectos do objeto (...) técnico, destacando as contribuições da filosofia de Simondon para a compreensão da realidade tecnológica contemporânea. (shrink)

resumo: Este artigo tem como foco a influência e o domínio da tecnologia no nosso mundo atual. Através de um acompanhamento da reflexão de Heidegger sobre a técnica, buscamos responder a seguinte questão: o mundo, tomado como subsistência, é ele próprio o resultado de uma visão de mundo? Para alcançar uma resposta, primeiramente interrogamos os delineamentos de mundos, a partir do tema das visões de mundo. Encontramos, assim, o tema da postura humana enquanto elemento principal. Em segundo lugar, acompanhamos a (...) crítica de Heidegger à ciência moderna e à técnica, na qual constatamos uma ambiguidade fundamental na postura da Serenidade. Diante desse contexto, a resposta para o questionamento principal é afirmativa: o mundo enquanto subsistência é o resultado de uma visão de mundo. Contudo, uma inevitável participação do homem na atividade de “armazenamento”, conduz a uma esperança de reversão no processo de dominação da técnica. abstract: This article focuses on the influence and dominance of technique in our world today. By an incursion in Heidegger’s reflection on technique, we seek to answer the following question: is the world itself, taken as subsistence, the result of a worldview? To reach an answer, first, we question the outlining of worlds from the matter of worldviews. We find thus the theme of human posture as the main element. Secondly, we follow Heidegger’s critique of modern science and technique, where we see a fundamental ambiguity in the position of Serenity. In this context, the answer to the main question is affirmative: the world as subsistence is the result of a worldview. However, an inevitable human participation in the activity of “storage” leads to a hope of reversing technique’s domination process. (shrink)

This article is about the conception of “us” or that identifies the set of humans and highlights them ahead others living beings. Thus, a discourse about “us” always needs a base of support and points in a direction. This point implies, even if minimally, a direction of the human being projected in a future. To discuss about this human direction and would verify as its characteristics, in the first section we expose some opinions of philosophy through contributions of Heidegger and (...) Kant. In the second section, the conception of “us” will be analyzed through the most recent phenomena of technical world. The final conclusion points out that the human direction provided by the technology, adapts well to certain characteristics. A possible solution to deal with technological human direction is the involvement of philosophy with certain aspects of the technical world, already available, and to make the promotion of a space for reflection. (shrink)

Esta investigação trata da diferença entre as áreas da filosofia, mas essa diferenciação necessita de uma forma plausível e não dogmática em seu proceder. Para encontrar uma forma de diferenciar cada área interna da filosofia, utilizou-se uma comparação inicial com as ciências e se buscou oprocesso argumentativo como um fator principal de diferenciação. Isso se expressa mais diretamente no problema de pesquisa, que visa a investigar se as diferentes áreas filosóficas também possuem diferentes processos deargumentação. A relevância desta investigação se (...) encontra na identificação de determinadas tensões entre as áreas filosóficas. O resultado mostra que os diferentes conteúdos tratados pelas distintas áreas filosóficas exercem um efeito importante sobre os processos argumentativos. Para fins de delimitação, optou-se por duas áreas da filosofia: a lógica e a ética. (shrink)

Este artigo trata sobre a filosofia de Agamben com o enfoque no tema dos processos de subjetivação. A investigação busca responder a seguinte interrogação: o que significam tais processos para Agamben? Compreende-se que Agamben possui uma definição diferente daquela usada por Focault. Assim, a exposição recupera elementos relacionados aos processos de subjetivação. Entre estes elementos estão os dispositivos e o sujeito. Através da análise dos dispositivos, mostra-se que Agamben amplia o conceito, primeiramente elaborado por Focault, inserindo-o na análise do mundo (...) capitalista atual. Através desse aprofundamento a respeito do dispositivo, chega-se a uma definição dos processos de subjetivação. Na segunda parte, os resultados dos processos de subjetivação, isto é, o sujeito capturado frente o seu destino político. Isto permite consolidar a explicação dos processos de subjetivação que foi alcançada. O resultado final mostra que os processos de subjetivação devem ser não ignorados, mas superados para que o sujeito possua uma vida em potência. (shrink)

1. The Physical Church-Turing Thesis. Physicists often interpret the Church-Turing Thesis as saying something about the scope and limitations of physical computing machines. Although this was not the intention of Church or Turing, the Physical Church Turing thesis is interesting in its own right. Consider, for example, Wolfram’s formulation: One can expect in fact that universal computers are as powerful in their computational capabilities as any physically realizable system can be, that they can simulate any physical system . . . (...) No physically implementable procedure could then shortcut a computationally irreducible process. (Wolfram 1985) Wolfram’s thesis consists of two parts: (a) Any physical system can be simulated (to any degree of approximation) by a universal Turing machine (b) Complexity bounds on Turing machine simulations have physical significance. For example, suppose that the computation of the minimum energy of some system of n particles takes at least exponentially (in n) many steps. Then the relaxation time of the actual physical system to its minimum energy state will also take exponential time. (shrink)

Semantic priming has long been recognized to reflect, along with automatic semantic mechanisms, the contribution of controlled strategies. However, previous theories of controlled priming were mostly qualitative, lacking common grounds with modern mathematical models of automatic priming based on neural networks. Recently, we introduced a novel attractor network model of automatic semantic priming with latching dynamics. Here, we extend this work to show how the same model can also account for important findings regarding controlled processes. Assuming the rate of semantic (...) transitions in the network can be adapted using simple reinforcement learning, we show how basic findings attributed to controlled processes in priming can be achieved, including their dependency on stimulus onset asynchrony and relatedness proportion and their unique effect on associative, category-exemplar, mediated and backward prime-target relations. We discuss how our mechanism relates to the classic expectancy theory and how it can be further extended in future developments of the model. (shrink)

We develop a systematic approach to quantum probability as a theory of rational betting in quantum gambles. In these games of chance, the agent is betting in advance on the outcomes of several (finitely many) incompatible measurements. One of the measurements is subsequently chosen and performed and the money placed on the other measurements is returned to the agent. We show how the rules of rational betting imply all the interesting features of quantum probability, even in such finite gambles. These (...) include the uncertainty principle and the violation of Bell's inequality among others. Quantum gambles are closely related to quantum logic and provide a new semantics for it. We conclude with a philosophical discussion on the interpretation of quantum mechanics. (shrink)

A classical gas at equilibrium satisfies the locality conditionif the correlations between local fluctuations at a pair of remote small regions diminish in the thermodynamic limit. The gas satisfies a strong locality conditionif the local fluctuations at any number of remote locations have no (pair, triple, quadruple....) correlations among them in the thermodynamic limit. We prove that locality is equivalent to a certain factorizability condition on the distribution function. The analogous quantum condition fails in the case of a freeBose gas. (...) Next we prove that strong locality is equivalent to the total factorizability of the distribution function, and thus (given Liourille’s theorem) to the Maxwell Boltzmann distribution for an ideal gas. (shrink)

Let be n events in a probability space, and suppose that we have only partial information about the distribution: The probabilites of the events themselves, and their pair intersections. With this partial information we cannot, usually, deternine the probability of an event B in the algebra generated by the 's, but we can obtain lower and upper bounds. This is done by a linear program related to the correlation polytope c(n), a structure introduced in [3], [4]. In the first part (...) of the paper I demonstrate how laws of large numbers (for sequences of events which are not necessarily independent) can be proved, using only the duality theorem of linear programming. These include the weak law of large numbers (necessary and sufficient condition) and various sufficient conditions for strong laws. The connection between these laws and the facet structure of the correlation polytope is established. In the second part of the paper I consider a more general case. Assume that our information consists of the values of the probabilities of all intersections of the 's up to size k, k < n. The techniques of linear programming lead naturally to an application of the theory of polynomial approximation in estimating the size of various events. In particular, I prove an approximate version of the central limit theorem. (shrink)

We present a general method for obtaining all Bell inequalities for a given experimental setup. Although the algorithm runs slowly, we apply it to two cases. First, the Greenberger-Horne-Zeilinger setup with three observers each performing one of two possible measurements. Second, the case of two observers each performing one of three possible experiments. In both cases we obtain hundreds of inequalities. Since this is the set of all inequalities, the one that is maximally violated in a given quantum state must (...) be among them. We demonstrate this fact with a few examples. We also note the deep connection between the inequalities and classical logic, and their violation with quantum logic. (shrink)

This article deals with the topics of nihilism and technology within the horizon of Western societies. More precisely, we research what is the most determining element in the relationship between nihilism and technology. To develop this research, we seek a concept of nihilism that is integrated into the scenario that emerged after the modern era, therefore integrating not only the 20th century, but also the 21st century. This concept is achieved through consideration of the effects of historicism according to Leo (...) Strauss' analysis in his work Natural Right and History. Next, the issues relating to the control of technology are analyzed and answered through Feenberg's position, which shows different conceptions of what would be considered the philosophy of technology. Finally, the conclusion is that, in the relationship between nihilism and technology, nihilism remains the most determining, because the dimensions specific to historicism still remain integrated and active in the institutions of democratic societies in the 21st century, despite the proposal to invent new institutions made by Feenberg. (shrink)