It is shown that, given any finite set of pairs of random events in a Boolean algebra which are correlated with respect to a fixed probability measure on the algebra, the algebra can be extended in such a way that the extension contains events that can be regarded as common causes of the correlations in the sense of Reichenbach's definition of common cause. It is shown, further, that, given any quantum probability space and any set of commuting events in it (...) which are correlated with respect to a fixed quantum state, the quantum probability space can be extended in such a way that the extension contains common causes of all the selected correlations, where common cause is again taken in the sense of Reichenbach's definition. It is argued that these results very strongly restrict the possible ways of disproving Reichenbach's Common Cause Principle. (shrink)

A partition $\{C_i\}_{i\in I}$ of a Boolean algebra Ω in a probability measure space (Ω, p) is called a Reichenbachian common cause system for the correlation between a pair A,B of events in Ω if any two elements in the partition behave like a Reichenbachian common cause and its complement; the cardinality of the index set I is called the size of the common cause system. It is shown that given any non-strict correlation in (Ω, p), and given any finite (...) natural number n > 2, the probability space (Ω,p) can be embedded into a larger probability space in such a manner that the larger space contains a Reichenbachian common cause system of size n for the correlation. (shrink)

A condition is formulated in terms of the probabilities of two pairs of correlated events in a classical probability space which is necessary for the two correlations to have a single (Reichenbachian) common-cause and it is shown that there exists pairs of correlated events probabilities of which violate the necessary condition. It is concluded that different correlations do not in general have a common common-cause. It is also shown that this conclusion remains valid even if one weakens slightly Reichenbach's definition (...) of common-cause. The significance of the difference between common-causes and common common-causes is emphasized from the perspective of Reichenbach's Common Cause Principle. (shrink)

A partition $\{C_i\}_{i\in I}$ of a Boolean algebra $\cS$ in a probability measure space $(\cS,p)$ is called a Reichenbachian common cause system for the correlated pair $A,B$ of events in $\cS$ if any two elements in the partition behave like a Reichenbachian common cause and its complement, the cardinality of the index set $I$ is called the size of the common cause system. It is shown that given any correlation in $(\cS,p)$, and given any finite size $n>2$, the probability space (...) $(\cS,p)$ can be embedded into a larger probability space in such a manner that the larger space contains a Reichenbachian common cause system of size $n$ for the correlation. It also is shown that every totally ordered subset in the partially ordered set of all partitions of \cS$ contains only one Reichenbachian common cause system. Some open problems concerning Reichenbachian common cause systems are formulated. (shrink)

In the paper it will be shown that Reichenbach’s Weak Common Cause Principle is not valid in algebraic quantum field theory with locally finite degrees of freedom in general. Namely, for any pair of projections A, B supported in spacelike separated double cones ${\mathcal{O}}_{a}$ and ${\mathcal{O}}_{b}$ , respectively, a correlating state can be given for which there is no nontrivial common cause (system) located in the union of the backward light cones of ${\mathcal{O}}_{a}$ and ${\mathcal{O}}_{b}$ and commuting with the both (...) A and B. Since noncommuting common cause solutions are presented in these states the abandonment of commutativity can modulate this result: noncommutative Common Cause Principles might survive in these models. (shrink)

Bell inequalities, understood as constraints between classical conditional probabilities, can be derived from a set of assumptions representing a common causal explanation of classical correlations. A similar derivation, however, is not known for Bell inequalities in algebraic quantum field theories establishing constraints for the expectation of specific linear combinations of projections in a quantum state. In the paper we address the question as to whether a ‘common causal justification’ of these non-classical Bell inequalities is possible. We will show that although (...) the classical notion of common causal explanation can readily be generalized for the non-classical case, the Bell inequalities used in quantum theories cannot be derived from these non-classical common causes. Just the opposite is true: for a set of correlations there can be given a non-classical common causal explanation even if they violate the Bell inequalities. This shows that the range of common causal explanations in the non-classical case is wider than that restricted by the Bell inequalities. (shrink)

Standard derivations of the Bell inequalities assume a common common cause system that is a common screener-off for all correlations and some additional assumptions concerning locality and no-conspiracy. In a recent paper (Grasshoff et al., 2005) Bell inequalities have been derived via separate common causes assuming perfect correlations between the events. In the paper it will be shown that the assumptions of this separate-common-cause-type derivation of the Bell inequalities in the case of perfect correlations can be reduced to the assumptions (...) of common-common-cause-system-type derivation. However, in the case of non-perfect correlations a non-reducible separate-common-cause-type derivation of some Bell-like inequalities can be given. The violation of these Bell-like inequalities proves Szabó's (2000) conjecture concerning the non-existence of a local, non-conspiratorial, separate-common-cause-model for a delta δ-neighborhood of perfect EPR correlations. (shrink)

The Borel–Kolmogorov Paradox is typically taken to highlight a tension between our intuition that certain conditional probabilities with respect to probability zero conditioning events are well defined and the mathematical definition of conditional probability by Bayes’ formula, which loses its meaning when the conditioning event has probability zero. We argue in this paper that the theory of conditional expectations is the proper mathematical device to conditionalize and that this theory allows conditionalization with respect to probability zero events. The conditional probabilities (...) on probability zero events in the Borel–Kolmogorov Paradox also can be calculated using conditional expectations. The alleged clash arising from the fact that one obtains different values for the conditional probabilities on probability zero events depending on what conditional expectation one uses to calculate them is resolved by showing that the different conditional probabilities obtained using different conditional expectations cannot be interpreted as calculating in different parametrizations of the conditional probabilities of the same event with respect to the same conditioning conditions. We conclude that there is no clash between the correct intuition about what the conditional probabilities with respect to probability zero events are and the technically proper concept of conditionalization via conditional expectations—the Borel–Kolmogorov Paradox is just a pseudo-paradox. (shrink)

Standard derivations of the Bell inequalities assume a common-commoncause-system that is a common screener-off for all correlations and some additional assumptions concerning locality and no-conspiracy. In a recent paper Graßhoff et al., "The British Journal for the Philosophy of Science", 56, 663–680 ) Bell inequalities have been derived via separate common causes assuming perfect correlations between the events. In the paper it will be shown that the assumptions of this separate-common-cause-type derivation of the Bell inequalities in the case of perfect (...) correlations can be reduced to the assumptions of a common-common-cause-system-type derivation. However, in the case of non-perfect correlations a non-reducible separate-common-cause-type derivation of some Bell-like inequalities can be given. The violation of these Bell-like inequalities proves Szabo's ) conjecture concerning the non-existence of a local, non-conspiratorial, separate-common-cause-model for a δ-neighborhood of perfect EPR correlations. (shrink)

The common cause principle says that every correlation is either due to a direct causal effect linking the correlated entities or is brought about by a third factor, a so-called common cause. The principle is of central importance in the philosophy of science, especially in causal explanation, causal modeling and in the foundations of quantum physics. Written for philosophers of science, physicists and statisticians, this book contributes to the debate over the validity of the common cause principle, by proving results (...) that bring to the surface the nature of explanation by common causes. It provides a technical and mathematically rigorous examination of the notion of common cause, providing an analysis not only in terms of classical probability measure spaces, which is typical in the available literature, but in quantum probability theory as well. The authors provide numerous open problems to further the debate and encourage future research in this field. (shrink)

The aim of this paper is to give a sharp definition of Bell's notion of local causality. To this end, first we unfold a framework, called local physical theory, integrating probabilistic and spatiotemporal concepts. Formulating local causality within this framework and classifying local physical theories by whether they obey local primitive causality---a property rendering the dynamics of the theory causal, we then investigate what is needed for a local physical theory, with or without local primitive causality, to be locally causal. (...) Finally, comparing Bell's local causality with the Common Cause Principles and relating both to the Bell inequalities we find a nice parallelism: Bell inequalities cannot be derived neither from local causality nor from a common cause unless the local physical theory is classical or the common cause is commuting, respectively. (shrink)

It is a well known fact that a common common causal explanation of the EPR scenario which consists in providing a local, non-conspiratorial common common cause system for a set of EPR correlations is excluded by various Bell inequalities. But what if we replace the assumption of a common common cause system by the requirement that each correlation of the set has a local, non-conspiratorial separate common cause system? In the paper we show that this move does not yield a (...) solution by providing a general recipe how to derive any Bell(δ) inequality—that is an inequality differing from some Bell inequality in a term of order of δ—from the assumption that an appropriate set of almost perfect anticorrelations has a separate common causal explanation. (shrink)

This paper is the philosopher-friendly version of our more technical work. It aims to give a clear-cut definition of Bell's notion of local causality. Having provided a framework, called local physical theory, which integrates probabilistic and spatiotemporal concepts, we formulate the notion of local causality and relate it to other locality and causality concepts. Then we compare Bell's local causality with Reichenbach's Common Cause Principle and relate both to the Bell inequalities. We find a nice parallelism: both local causality and (...) the Common Cause Principle are more general notions than captured by the Bell inequalities. Namely, Bell inequalities cannot be derived neither from local causality nor from a common cause unless the local physical theory is classical or the common cause is commuting, respectively. (shrink)

The structuralist approach, as developed by Balzer et al. (1987) in An Architectonic for Science (abbreviated as Architectonic in the following), should be combined with a holistic semantics. A significant, but widely neglected intuition about the empirical claim of a theory appears to be representable only within a holistic framework. This intuition may be called the promise of a theory. It consists of the claim that the theory will, at least in the future, be able to describe all phenomena of (...) (an interpreted version of) its T-non-theoretical conceptual frame. The argument will be outlined within the semantics developed by Holger Andreas on the basis of Carnap’s dual-level conception. (shrink)

An equation proposed by Levy, Perdew and Sahni (Phys. Rev. A 30:2745, 1984) is an orbital-free formulation of density functional theory. However, this equation describes a bosonic system. Here, we analyze on a very fundamental level, how this equation could be extended to yield a formulation for a general fermionic distribution of charge and spin. This analysis starts at the level of single electrons and with the question, how spin actually comes into a charge distribution in a non-relativistic model. To (...) this end we present a space-time model of extended electrons, which is formulated in terms of geometric algebra. Wave properties of the electron are referred to mass density oscillations. We provide a comprehensive and non-statistical interpretation of wavefunctions, referring them to mass density components and internal field components. It is shown that these wavefunctions comply with the Schrödinger equation, for the free electron as well as for the electron in electrostatic and vector potentials. Spin-properties of the electron are referred to intrinsic field components and it is established that a measurement of spin in an external field yields exactly two possible results. However, it is also established that the spin of free electrons is isotropic, and that spin-dynamics of single electrons can be described by a modified Landau-Lifshitz equation. The model agrees with the results of standard theory concerning the hydrogen atom. Finally, we analyze many-electron systems and derive a set of coupled equations suitable to characterize the system without any reference to single electron states. The model is expected to have the greatest impact in condensed matter theory, where it allows to describe an N-electron system by a many-electron wavefunction Ψ of four, instead of 3N variables. The many-body aspect of a system is in this case encoded in a bivector potential. (shrink)

One of the twentieth-century's most exciting and challenging intellectuals, Gilles Deleuze's writings covered literature, art, psychoanalysis, philosophy, genetics, film and social theory. This book not only introduces Deleuze's ideas, it also demonstrates the ways in which his work can provide new readings of literary texts. This guide goes on to cover his work in various fields, his theory of literature and his overarching project of a new concept of becoming.

This article presents an interview method which enables us to bring a person, who may not even have been trained, to become aware of his or her subjective experience, and describe it with great precision. It is focused on the difficulties of becoming aware of one’s subjective experience and describing it, and on the processes used by this interview technique to overcome each of these difficulties. The article ends with a discussion of the criteria governing the validity of the descriptions (...) obtained, and then with a brief review of the functions of these descriptions. (shrink)

Challenging previous interpretations of Levinas that gloss over his use of the feminine or show how he overlooks questions raised by feminists, Claire Elise Katz explores the powerful and productive links between the feminine and religion in Levinas’s work. Rather than viewing the feminine as a metaphor with no significance for women or as a means to reinforce traditional stereotypes, Katz goes beyond questions of sexual difference to reach a more profound understanding of the role of the feminine in (...) Levinas’s conception of ethical responsibility. She combines feminist interpretations of Levinas with interpretations that focus on his Jewish writings to reveal that the feminine provides an important bridge between his philosophy and his Judaism. Katz’s reading of Levinas’s conception of the feminine against the backdrop of discussions of women of the Hebrew bible points to important shifts in contemporary philosophy toward the creation of life and care for the other. (shrink)

This paper describes a method for analyzing a corpus of descriptions collected through micro-phenomenological interviews. This analysis aims at identifying the structure of the singular experiences which have been described, and in particular their diachronic structure, while unfolding generic experiential structures through an iterative approach. After summarizing the principles of the micro-phenomenological interview, and then describing the process of preparation of the verbatim, the article presents on the one hand, the principles and conceptual devices of the analysis method and on (...) the other hand several dimensions of the analysis process: the modes of structural unfolding of generic structures, the mutual guidance of the processes of structural and experiential unfolding, the tracking of analysis processes, and finally the assessment of analysis results. (shrink)

Reexamining Emmanuel Levinas’s essays on Jewish education, Claire Elise Katz provides new insights into the importance of education and its potential to transform a democratic society, for Levinas’s larger philosophical project.

Towards the end of eighteenth century in France, the newly acquired rights of people as citizens needed assuring. This article traces the principles through which Condorcet tried to realise this on an institutional level. Condorcet did not view the Enlightenment ideas of progress as primarily referring to the state. Rather, he focused on the rights of individuals, particularly on their right to develop their own potential. He bound this perception with the unconditional demand for recognition of the rights of all (...) people, in particular also for a clear renunciation of any gender-specific interpretation of this fundamental idea. Evidence for this is found in Condorcet’s writings on Instruction Publique. In contrast to other educational programmes of the revolutionary period, these evince a discriminating interpretation of freedom and equality, and recognise the numerous threats to a self-determined human existence. (shrink)

A familiar part of debates about supererogatory actions concerns the role that cost should play. Two camps have emerged: one claiming that extreme cost is a necessary condition for when an action is supererogatory, while the other denies that it should be part of our definition of supererogation. In this paper, I propose an alternative position. I argue that it is comparative cost that is central to the supererogatory and that it is needed to explain a feature that all accounts (...) agree is central to the very notion of supererogation: optionality. Perhaps because of this agreement on its importance, few attempts have been made to clarify and explain the notion of optionality. I argue that giving an account of the optionality of supererogatory requires drawing a line between doing the bare minimum permissible and going beyond the bare minimum and that this line ought to be drawn based on comparative cost of alternative permissible acts. Having outlined my account and motivated it, I discuss and reject two concerns that might be raised: firstly, that it is extreme cost, not comparative cost, that matters and, secondly, that in fact no cost is needed for an act to be supererogatory. (shrink)

I argue for the unexceptionality of evidence about what rationality requires. Specifically, I argue that, as for other topics, one’s total evidence can sometimes support false beliefs about this. Despite being prima facie innocuous, a number of philosophers have recently denied this. Some have argued that the facts about what rationality requires are highly dependent on the agent’s situation, and change depending on what that situation is like (Bradley, 2019). Others have argued that a particular subset of normative truths, those (...) concerning what epistemic rationality requires, have the special property of being ‘fixed points’ – it is impossible to have total evidence that supports false belief about them (Smithies, 2012; Titelbaum, 2015). Each of these kinds of exceptionality permit a solution to downstream theoretical problems that arise from the possibility of evidence supporting false belief about requirements of rationality. However, as I argue here, they incur heavy explanatory burdens that we should avoid. (shrink)

Introduction: The problem of vitalism : active/passive -- Brain, system, model : the affective turn -- Vitalism and theoria -- Inorganic art -- Inorganic vitalism -- The vital order after theory -- On becoming -- Living systems, extended minds, gaia -- Conclusion.

A Conversation with Claire Katz about her book, Levinas and the Crisis of Humanism.

The well-known experiments of Nisbett and Wilson lead to the conclusion that we have no introspective access to our decision-making processes. Johansson et al. have recently developed an original protocol consisting in manipulating covertly the relationship between the subjects’ intended choice and the outcome they were presented with: in 79.6% of cases, they do not detect the manipulation and provide an explanation of the choice they did not make, confirming the findings of Nisbett and Wilson. We have reproduced this protocol, (...) while introducing for some choices an expert guidance to the description of this choice. The subjects who were assisted detected the manipulation in 80% of cases. Our experiment confirms Nisbett and Wilson’s findings that we are usually unaware of our decision processes, but goes further by showing that we can access them through specific mental acts. (shrink)

An accessible introduction to the contemporary thought of Deleuze.

Cinema, thought and time -- Deleuze's cinema books -- Technology -- Essences -- Space and time -- Bergson, time, and life -- The movement-image -- The history of time and space and the history of cinema -- The movement-image and semiotics -- Styles of sign -- The whole of movement -- Image and life -- Becoming-inhuman, becoming imperceptible -- The deduction of the movement-image -- Art and time -- Destruction of the sensory motor apparatus and the spiritual automaton -- Time (...) and money -- Art and history -- Monument -- Framing, territorialization, and the plane of composition -- Politics and the origin of meaning -- Transcending life and the genesis of sense -- Beyond symbolic and imaginary -- Shit and money -- Exchange, gift, and theft -- The fiction of mind -- Collective investment and group fantasy -- The time of man -- The intense germinal influx. (shrink)

This article offers a critique and reformulation of the concept of empathy as it is currently used in the context of medicine and medical care. My argument is three pronged. First, that the instrumentalised notion of empathy that has been common within medicine erases the term’s rich epistemological history as a special form of understanding, even a vehicle of social inquiry, and has instead substituted an account unsustainably structured according to the polarisations of modernity. I suggest that understanding empathy by (...) examining its origins within the phenomenological tradition, as a mode of intersubjective understanding, offers a different and profitable approach. Secondly, I argue that the appropriation of empathy in medicine means that, ironically, empathy can function as a technique of pastoral power, in which virtue, knowledge and authority remain with the doctor. And thirdly, empathy is in danger of being resourced as a substitute for equity and funding within health systems. I conclude however with hope for the productive possibilities for empathy. (shrink)

This article is devoted to the description of the experience associated with listening to a sound. In the first part, we describe the method we used to gather descriptions of auditory experience and to analyse these descriptions. This work of explicitation and analysis has enabled us to identify a threefold generic structure of this experience, depending on whether the attention of the subject is directed towards the event which is at the source of the sound, the sound in itself, considered (...) independently from its source, the felt sound. In the second part of the article, we describe this structure. The third part is devoted to a discussion of these results and the paths they open up in various fields of theoretical and applied research. (shrink)

In this paper we list the various criticisms that have been formulated against introspection, from Auguste Comte denying that consciousness can observe itself, to recent criticisms of the reliability of first person descriptions. We show that these criticisms rely on the one hand on poor knowledge of the introspective process, and on the other hand on a naïve conception of scientific objectivity. Two kinds of answers are offered: the first one is grounded on a refined description of the process of (...) becoming aware of one's experience and describing it, the second one relies on a comparison with the methods of the experimental sciences. We conclude the article by providing a renewed definition of 'the truth' of a first person description. (shrink)

Can we make mistakes about what rationality requires? A natural answer is that we can, since it is a platitude that rational belief does not require truth; it is possible for a belief to be rational and mistaken, and this holds for any subject matter at all. However, the platitude causes trouble when applied to rationality itself. The possibility of rational mistakes about what rationality requires generates a puzzle. When combined with two further plausible claims – the enkratic principle, and (...) the claim that rational requirements apply universally – we get the result that rationality generates inconsistent requirements. One popular and attractive solution to the puzzle denies that it is possible to make rational mistakes about what rationality requires. I show why (contra Titelbaum (2015b), and Littlejohn (2015)) this solution is doomed to fail. (shrink)

The purpose of this paper is to show through the concrete example of epileptic seizure anticipation how neuro-dynamic analysis and “pheno-dynamic” analysis may guide and determine each other. We will show that this dynamic approach to epileptic seizure makes it possible to consolidate the foundations of a cognitive non pharmacological therapy of epilepsy. We will also show through this example how the neuro-phenomenological co-determination could shed new light on the difficult problem of the “gap” which separates subjective experience from neurophysiological (...) activity. (shrink)

The notion of supererogation—going above and beyond the call of duty—is typically discussed in a moral context. However, in this paper we argue for the existence of rationally supererogatory actions: that is, actions that go above and beyond the call of rational duty. In order to establish the existence of such actions, we first need to overcome the so-called paradox of supererogation: we need to provide some explanation for why, if some act is rationally optimal, it is not the case (...) that we are rationally required to carry out that act. We argue that a response to this ‘paradox’ can be found by reflecting on normative conflicts: cases where what is best according to some normative domain is different from what is best according to some other normative domain. (shrink)

Standing in San Marco Cathedral in Venice, you immediately notice the exquisitely decorated spandrels: the triangular spaces bounded on either side by adjoining arches and by the dome above. You would be forgiven for seeing them as the starting point from which to understand the surrounding architecture. To do so would, however, be a mistake. It is a similar mistaken inference that evolutionary biologists have been accused of making in assuming a special adaptive purpose for such biological features as fingerprints (...) and chins. I argue that a mistake of just this sort is being made by ethicists who appeal to the intrinsic value of supererogatory acts in their efforts to make space for supererogation in ethical theory. Many cases of supererogatory action are simply spandrels: by-products of uncontroversial commitments elsewhere in our moral thought. This is not to downplay their value but rather to show that their value need not be the justification for making room for the supererogatory. I demonstrate this by examining two areas: rights and the distribution of burdens among a group. My argument has significance for those who take themselves to be defends of the possibility of supererogatory actions, as well as those who are committed to the contrary and those who believe themselves to be indifferent on the matter. (shrink)