The operation of developing a concept is a common procedure in mathematics and in natural science, but has traditionally seemed much less possible to philosophers and, especially, logicians. Meir Buzaglo's innovative study proposes a way of expanding logic to include the stretching of concepts, while modifying the principles which block this possibility. He offers stimulating discussions of the idea of conceptual expansion as a normative process, and of the relation of conceptual expansion to truth, meaning, reference, ontology and paradox, (...) and analyzes the views of Kant, Wittgenstein, Godel, and others, paying especially close attention to Frege. His book will be of interest to a wide range of readers, from philosophers to logicians, mathematicians, linguists, and cognitive scientists. (shrink)

This paper proves that Maxwell's Demon is compatible with classical mechanics. In particular it shows how the cycle of operation - including measurement and erasure - can be carried out with no entropy cost, contrary to the Landauer-Bennett thesis (according to which memory erasure costs kln2 of entropy increase per bit). The Landauer-Bennet thesis is thus proven to be mistaken.

This paper describes a version of type identity physicalism, which we call Flat Physicalism, and shows how it meets several objections often raised against identity theories. This identity theory is informed by recent results in the conceptual foundations of physics, and in particular clar- ifies the notion of ‘physical kinds’ in light of a conceptual analysis of the paradigmatic case of reducing thermody- namics to statistical mechanics. We show how Flat Physi- calism is compatible with the appearance of multiple realisation (...) in the special sciences, and how and in what sense the special sciences laws are autonomous from the laws of physics, despite the full reductive picture of Flat Physicalism. We compare our view with a recent proposal by William Bechtel that accounts for the appearance of levels in mechanistic explanations. (shrink)

We argue that current constructive approaches to the special theory of relativity do not derive the geometrical Minkowski structure from the dynamics but rather assume it. We further argue that in current physics there can be no dynamical derivation of primitive geometrical notions such as length. By this we believe we continue an argument initiated by Einstein.

An outline for a modal interpretation in terms of possible worlds is presented. The so-called Schmidt histories are taken to correspond to the physically possible worlds. The decoherence function defined in the histories formulation of quantum theory is taken to prescribe a non-classical probability measure over the set of the possible worlds. This is shown to yield dynamics in the form of transition probabilities for occurrent events in each world. The role of the consistency condition is discussed.

Special sciences (such as biology, psychology, economics) describe various regularities holding at some high macroscopic level. One of the central questions concerning these macroscopic regularities is how they are related to the laws of physics governing the underlying microscopic physical reality. In this paper we show how a macroscopic regularity may emerge from an underlying micro- scopic structure, and how the appearance of multiple realizability of the special sciences by physics comes about in a reductionist-physicalist framework. On this basis we (...) explain how complexity at the high level can arise due to a sort of harmony between the microscopic dynamics and observer-dependent macroscopic properties. We show that observer-dependent properties, which underlie the emergence of macroscopic properties and of macroscopic complexity, are objective physical facts. We argue that such physical properties remove the mystery from the multiple realizability of special sciences’ kinds, since the latter are grounded in shared physical properties. Finally we explain how and in what sense in our reductive physicalist approach the special sciences are still autonomous after all. (shrink)

This paper makes a novel linkage between the multiple-computations theorem in philosophy of mind and Landauer’s principle in physics. The multiple-computations theorem implies that certain physical systems implement simultaneously more than one computation. Landauer’s principle implies that the physical implementation of “logically irreversible” functions is accompanied by minimal entropy increase. We show that the multiple-computations theorem is incompatible with, or at least challenges, the universal validity of Landauer’s principle. To this end we provide accounts of both ideas in terms of (...) low-level fundamental concepts in statistical mechanics, thus providing a deeper understanding of these ideas than their standard formulations given in the high-level terms of thermodynamics and cognitive science. Since Landauer’s principle is pivotal in the attempts to derive the universal validity of the second law of thermodynamics in statistical mechanics, our result entails that the multiple-computations theorem has crucial implications with respect to the second law. Finally, our analysis contributes to the understanding of notions, such as “logical irreversibility,” “entropy increase,” “implementing a computation,” in terms of fundamental physics, and to resolving open questions in the literature of both fields, such as: what could it possibly mean that a certain physical process implements a certain computation. (shrink)

We present a novel reductive theory of type-identity physicalism, which is inspired by the foundations of statistical mechanics as a general theory of natural kinds. We show that all the claims mounted against type-identity physicalism in the literature don’t apply to Flat Physicalism, and moreover that this reductive theory solves many of the problems faced by the various non-reductive approaches including functionalism. In particular, we show that Flat Physicalism can account for the appearance of multiple realizability in the special sciences, (...) and that it gives a novel account of the genuine autonomy of the kinds and laws in the special sciences. We further show that the thesis of genuine multiple realization, which is compatible with all forms of non-reductive approaches including functionalism, implies what we call token-dualism; namely the idea that in every token there are non-physical facts, which may either be non-physical properties or some non-physical substance. In other words, we prove that non-reductive kinds necessarily assume non-reductive tokens, i.e., token dualism. Finally, we show that all forms of non-reductive approaches including functionalism imply a literally multi-leveled structure of reality. (shrink)

We discuss the meaning of probabilities in the many worlds interpretation of quantum mechanics. We start by presenting very briefly the many worlds theory, how the problem of probability arises, and some unsuccessful attempts to solve it in the past. Then we criticize a recent attempt by Deutsch to derive the quantum mechanical probabilities from the nonprobabilistic parts of quantum mechanics and classical decision theory. We further argue that the Born probability does not make sense even as an additional probability (...) rule in the many worlds theory. Our conclusion is that the many worlds theory fails to account for the probabilistic statements of standard (collapse) quantum mechanics. (shrink)

We show that the so-called Multiple-Computations Theorem in cognitive science and philosophy of mind challenges Landauer’s Principle in physics. Since the orthodox wisdom in statistical physics is that Landauer’s Principle is implied by, or is the mechanical equivalent of, the Second Law of thermodynamics, our argument shows that the Multiple-Computations Theorem challenges the universal validity of the Second Law of thermodynamics itself. We construct two examples of computations carried out by one and the same dynamical process with respect to which (...) Landauer’s principle implies contradictory predictions concerning the entropy increase. Our two examples are based on a weak version of the Multiple-Computations Theorem, which is quite uncontroversial, and therefore they amount to a clear refutation of the universal validity of Landauer’s Principle. We consider some responses to this argument that do not attempt to single out one computation over the others, and we show that they do not work. We further consider ways out of the argument by externalist approaches supporting the computational theory of the mind who propose that the interaction of a computing system with the environment is enough to select a single computation over the others. We show on physical grounds that this approach fails too. We then reverse the direction of our challenge and formulate a dilemma for supporters of the computational theory of the mind: they must reject the causal closure of physic; or else they must accept on a priori grounds that Landauer’s Principle and the Second Law of thermodynamics are not universally valid. Finally, we present our version of a type–type mind-brain identity theory called Flat Physicalism, which is based on the paradigm case of statistical mechanics, and we show that it circumvents the challenge from Landauer’s Principle and the Multiple-Computations Theorem and does not fall prey to our dilemma. (shrink)

Can we explain the laws of thermodynamics, in particular the irreversible increase of entropy, from the underlying quantum mechanical dynamics? Attempts based on classical dynamics have all failed. Albert (1994a,b; 2000) proposed a way to recover thermodynamics on a purely dynamical basis, using the quantum theory of the collapse of the wavefunction of Ghirardi, Rimini and Weber (1986). In this paper we propose an alternative way to explain thermodynamics within no-collapse interpretations of quantum mechanics. Our approach relies on the standard (...) quantum mechanical models of environmental decoherence of open systems, e.g. Joos and Zeh (1985) and Zurek and Paz (1994). (shrink)

According to influential views the probabilities in classical statistical mechanics and other special sciences are objective chances, although the underlying mechanical theory is deterministic, since the deterministic low level is inadmissible or unavailable from the high level. Here two intuitions pull in opposite directions: One intuition is that if the world is deterministic, probability can only express subjective ignorance. The other intuition is that probability of high-level phenomena, especially thermodynamic ones, is dictated by the state of affairs in the world. (...) We argue in support of this second intuition and we show that in fact there are two different ways in which high-level probability describes matters of fact, even if the underlying microscopic reality is deterministic. Our analysis is novel, but supports approaches by, e.g., Loewer, Albert, Frigg and Hoefer, List and Pivato. In particular, the reductive view we propose here can be seen as a naturalization of the above approaches. We consider consequences of our result for nonreductive physicalist approaches, such as functionalism, that admit multiple realization of the kinds that appear in the special sciences by physical kinds. We show that nonreductive physicalism implies the existence of nonphysical matters of fact. (shrink)

In our book The Road to Maxwell’s Demon (RMD) (Cambridge University Press 2012) we proposed a new outline for a reductive account of statistical mechanics in which thermodynamics is reduced to classical mechanics. In a recent review Valia Allori says that we misunderstood Boltzmann’s account of statistical mechanics with respect to two issues: (1) the nature of typicality considerations in Boltzmann’s explanation of the Second Law - and here she provides no argument whatsoever; and (2) Boltzmann’s notion of probability. As (...) to the second issue, unfortunately, there are flaws in her presentation of Boltzmann’s work as well as of ours. In this paper we briefly explain the difference between Boltzmann’s notion of probability and our notion, how the latter in fact complements Boltzmann’s ideas, and Allori’s flaws on these issues. (shrink)

Von Neumann argued by means of a thought experiment involving measurements of spin observables that the quantum mechanical quantity is conceptually equivalent to thermodynamic entropy. We analyze Von Neumann's thought experiment and show that his argument fails. Over the past few years there has been a dispute in the literature regarding the Von Neumann entropy. It turns out that each contribution to this dispute addressed a different special case. In this paper we generalize the discussion and examine the full matrix (...) of possibilities that are relevant for the evaluation and understanding of Von Neumann’s argument. (shrink)

The philosophy of Solomon Maimon is usually considered an important link between Kant’s transcendental philosophy and German idealism. Highly praised during his lifetime, over the past two centuries Maimon’s genius has been poorly understood and often ignored. Meir Buzaglo offers a reconstruction of Maimon’s philosophy, revealing that its true nature becomes apparent only when viewed in light of his philosophy of mathematics. This provides the key to understanding Maimon’s solution to Kant’s _quid juris_ question concerning the connection between intuition (...) and concept in mathematics. Maimon’s original approach avoids dispensing with intuition while reducing the reliance on intuition in its Kantian sense. As Buzaglo demonstrates, this led Maimon to question Kant’s ultimate rejection of the possibility of metaphysics and, simultaneously, to suggest a unique type of skepticism. (shrink)

We discuss a recent proposal by Albert to recover thermodynamics on a purely dynamical basis, using the quantum theory of the collapse of the wave function of Ghirardi, Rimini and Weber. We propose an alternative way to explain thermodynamics within no-collapse interpretations of quantum mechanics. Our approach relies on the standard quantum mechanical models of environmental decoherence of open systems, \eg Joos and Zeh and Zurek and Paz. This paper presents the two approaches and discusses their advantages. The problems they (...) face will be discussed in a sequel. (shrink)

Al-Fārābī's lost commentary on Aristotle's Ethica Nicomachea is without doubt one of the most sorely missed lost works of the Islamic falāsifa. In part, this is because the commentary was in some respects a scandal, and scholars accordingly believe it may hold the key to resolving present-day disagreements on how to interpret al-Fārābī's views as expressed in his independent treatises. Perhaps al-Fārābī's most shocking or scandalous statement is that preserved by the Hispano-Muslim philosophers Ibn Bājja, Ibn Ṭufayl, and Ibn Rushd. (...) According to them al-Fārābī says in his commentary on Aristotle's Ethica Nicomachea that happiness is to be achieved only in this life, not in the afterlife; that there is no happiness but political happiness; and that union with the active intellect – generally considered the highest goal of human existence by the philosophers – is impossible. This paper addresses the following questions: What exactly is the debate about? Why is the question of immortality or conjunction related to Aristotle's Ethica Nicomachea? And why was it so controversial to say, in the context of the Ethica Nicomachea, that there is no happiness but political happiness? Although the bulk of al-Fārābī's commentary is still lost, I have discovered two quotations of it in Hebrew manuscripts. As I will argue in this paper, these newly-discovered quotations – which are included with an English translation in the appendix – can shed light on the mysteries concerning al-Fārābī's commentary. Résumé Le commentaire perdu d'al-Fārābī à l’ Ethique à Nicomaque d'Aristote est sans conteste, parmi les ouvrages perdus de philosophes islamiques, l'un de ceux dont on regrette le plus l'absence. Cela s'explique notamment par le caractère à certains égards scandaleux de ce commentaire, dont les spécialistes attendent dès lors qu'il recèle la clé pour résoudre les désaccords actuels quant à l'interprétation à donner aux idées formulées par cet auteur dans ses traités personnels. La thèse peut-être la plus choquante ou scandaleuse d'al-Fārābī est celle qui est préservée par les philosophes hispano-islamiques Ibn Bājja, Ibn Ṭufayl et Ibn Rushd: selon eux, il affirme, dans son commentaire à l’ Ethique à Nicomaque, que le bonheur ne saurait se réaliser qu'en cette vie et non dans l'au-delà, qu'il n'y a pas de bonheur autre que le bonheur politique, et que l'union à l'intellect agent – généralement tenue par les philosophes pour être la fin suprême de l'existence humaine – est impossible. Cet article traite les questions suivantes: quel est exactement l'enjeu de ce débat? Pourquoi les questions de l'immortalité et de la conjonction sont-elles liées à l’ Ethique à Nicomaque? Et en quoi était-il si problématique d'affirmer, en référence à cette œuvre, qu'il n'y a pas de bonheur autre que le bonheur politique? Même si le corps du commentaire d'al-Fārābī est encore perdu, j'en ai découvert deux citations dans des manuscrits hébreux. Comme je le soutiens ici, ces citations récemment découvertes – données dans l'appendice avec leur traduction anglaise – font un peu de lumière sur les mystères du commentaire d'al-Fārābī. (shrink)

Can the second law of thermodynamics explain our mental experience of the direction of time? According to an influential approach, the past hypothesis of universal low entropy also explains how the psychological arrow comes about. We argue that although this approach has many attractive features, it cannot explain the psychological arrow after all. In particular, we show that the past hypothesis is neither necessary nor sufficient to explain the psychological arrow on the basis of current physics. We propose two necessary (...) conditions on the workings of the brain that any account of the psychological arrow of time must satisfy. And we propose a new reductive physical account of the psychological arrow of time compatible with time-symmetric physics, according to which these two conditions are also sufficient. Our proposal has some radical implications, for example, that the psychological arrow of time is fundamental, whereas the temporal direction of entropy increase in the second law of thermodynamics and the past hypothesis is derived from it, rather than the other way around. 1Introduction2A Physical Account of the Psychological Arrow of Time3Necessary Conditions for the Psychological Arrow of Time4The Psychological Arrow of Time via the Second Law of Thermodynamics and the Past Hypothesis5Why the Past Hypothesis Is Insufficient for the Psychological Arrow of Time5.1Stage 1, Version 1: From the past hypothesis to the psychological arrow via typicality5.2Stage 1, Version 2: From the past hypothesis to the psychological arrow via dynamical or causal considerations5.3Stage 2: From entropy gradient in the brain to the psychological arrow of time6Why the Past Hypothesis Is Unnecessary for the Psychological Arrow of Time7A New Reductive Account of the Psychological Arrow of Time. (shrink)

In a previous article, we have demonstrated by a general phase space argument that a Maxwellian Demon is compatible with statistical mechanics. In this article, we show how this idea can be put to work in the prevalent model of the Demon, namely, a particle-in-a-box, used, for example, by Szilard and Bennett. In the literature, this model is used in order to show that a Demon is incompatible with statistical mechanics, either classical or quantum. However, we show that a detailed (...) phase space analysis of this model illustrates that a Maxwellian Demon is compatible with statistical mechanics. (shrink)

This article examines the grappling of modern positivists with the question of legal unity. It presents and contrasts two antagonistic positivist strands—naturalist and normativist—epitomized in the works of Austin and Kelsen, respectively. The two strands correspond to two contrasting models of legal authority—criterial and coherence-based—and they accordingly diverge on the proper explanation of unity. Naturalist, criterial models purport to explain the unity of law based on extra-legal facts alone; normativist, coherence-based models resort strictly to the interrelation of legal elements themselves. (...) Against this backdrop, the article argues that Raz’s work on the subject is torn between Austin and Kelsen: While his naturalist ancestors accounted for legal unity externally, Raz’s prominent works are captivated by the Kelsenian realization that the unity of law must be accounted for internally. Two central upshots follow. First, the analysis provides a litmus test for the (in)ability of naturalist positivism to explain legal unity. Second, Raz’s strategic reliance on Kelsen distorts his work: Both the Grundnorm and validity chains are upended to fit Raz’s naturalist commitments. (shrink)

We discuss a recent proposal by Albert (1994a; 1994b; 2000, ch. 7) to recover thermodynamics on a purely dynamical basis, using the quantum theory of the collapse of the wave function by Ghirardi, Rimini, and Weber (1986). We propose an alternative way to explain thermodynamics within no-collapse interpretations of quantum mechanics. Our approach relies on the standard quantum mechanical models of environmental decoherence of open systems (e.g., Joos and Zeh 1985; Zurek and Paz 1994). This paper presents the two approaches (...) and discusses their advantages. The problems faced by both approaches will be discussed in a sequel (Hemmo and Shenker 2003). (shrink)

In this paper we analyze the relation between the notion of typicality and the notion of probability and the related question of how the choice of measure in deterministic theories in physics may be justified. Recently it has been argued that although the notion of typicality is not a probabilistic notion, it plays a crucial role in underwriting probabilistic statements in classical statistical mechanics and in Bohm’s theory. We argue that even in theories with deterministic dynamics, like classical statistical mechanics (...) and Bohm’s theory, the notion of probability can be understood as fundamentally objective, and that it is the notion of probability rather than typicality that may have an explanatory value. (shrink)

We argue that certain types of many minds (and many worlds) interpretations of quantum mechanics, e.g. Lockwood ([1996a]), Deutsch ([1985]) do not provide a coherent interpretation of the quantum mechanical probabilistic algorithm. By contrast, in Albert and Loewer's ([1988]) version of the many minds interpretation, there is a coherent interpretation of the quantum mechanical probabilities. We consider Albert and Loewer's probability interpretation in the context of Bell-type and GHZ-type states and argue that it implies a certain (weak) form of nonlocality. (...) 1 Introduction 2 Albert and Loewer's interpretation 3 Probabilities in Lockwood's interpretation 4 Sets of minds and their correlations 5 Many minds and GHZ. (shrink)

Paul Bond is a lawyer who overheard two other lawyers at his office discussing the proposed purchase of a company by one of their clients. He proceeds to buy shares of this company. Would you rate Bond's behavior completely fair, acceptable, unfair, or very unfair? I posed this vignette to samples of university students in China, Taiwan, and the U. S. Most students in the U. S. and Taiwan samples rated Bond's behavior unfair or very unfair while most students in (...) the China rated Bond's behavior completely fair or acceptable. Perceptions of fairness are part of the culture of a country and culture affects business practices. I discuss culture, perceptions of fairness, and business practices in China, Taiwan, and the U. S. (shrink)

McQueen and Vaidman argue that the Many Worlds Interpretation (MWI) of quantum mechanics provides local causal explanations of the outcomes of experiments in our experience that is due to the total effect of all the worlds together. We show that although the explanation is local in one world, it requires a causal influence that travels across different worlds. We further argue that in the MWI the local nature of our experience is not derivable from the Hilbert space structure, but has (...) to be added to it as an independent postulate. This is due to what we call the factorisation-symmetry and basis-symmetry of Hilbert space. (shrink)

This paper concerns the meaning of the idea of typicality in classical statistical mechanics and how typicality is related to the notion of probability.

I argue that in the many worlds interpretation of quantum mechanics time has no fundamental direction. I further discuss a way to recover thermodynamics in this interpretation using decoherence theory (Zurek and Paz 1994). Albert's proposal to recover thermodynamics from the collapse theory of Ghirardi et al. (1986) is also considered.

Reductive physicalism is a minority view in contemporary philosophy as well as in science, and therefore arguments for endorsing it often amount to arguments against the alternative views, in particular so-called non-reductive physicalism. In this paper we put forward a new argument for reductive physicalism, according to which it is the best account of the empirical data that we have. In particular, we show that: (a) a reductive physicalist theory of the mind forms an essential part of the very argument (...) for the existence of an external world: if one rejects psychophysical identity physicalism, one’s case for believing in the existence of an external world is substantially weakened; and (b) the success of a physical account of the mind is the most important criterion for the success of (future) physics; and (c) reductive physicalism is the only approach in which relying on science in order to account for the external world makes sense; and finally, (d) within reductive physicalism, one can provide a new criterion for theory preference in science, and a new argument for scientific realism. In our physicalist view the experience forms the initial data, which is then reduced to fundamental physics. (shrink)

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O artigo mostra que o “grego” está presente no pensamento “judaico” de Levinas e que os escritos “gregos” possuem uma dimensão “judaica”: Yafet é recebido nos alojamentos de Shem e vice-versa. A tese aqui formulada é que os escritos confessionais desenvolvem-se paralelamente aos escritos profissionais. Embora o discurso seja marcadamente diferente em cada uma das obras, e apesar de Levinas não tentar harmonizálos ou conciliá-los, ele se esforça por “enunciar em grego os princípios que a Grécia não conhece”. A sua (...) filosofia se desenvolve paralelamente à redescoberta daquilo que o Ocidente esqueceu e reprimiu: que o ser humano é criado “na imagem de Deus”. Em um pensamento de estilo inclusivo, Levinas é aqui apresentado como um viajante freqüente entre Atenas e Jerusalém, como um filósofo e um judeu; um “grego”, mas um “grego” indiscutivelmente judeu. PALAVRAS-CHAVE – Pensamento “grego”. Pensamento “hebraico”. Levinas. ABSTRACT The article shows that “Greek” is present in Levinas’s “Hebrew” thinking and that the “Greek” writings have a “Hebrew” dimension: Yafet is received in the tents of Shem and vice versa. The thesis formulated here is that the confessional writings run parallel with the professional writings. Although the discourse is quite different in both writings, and although Levinas certainly does not attempt to harmonize or to conciliate, he endeavors to “enounce in Greek the principles Greece did not know”. His philosophy was paralleled with the re-discovery of what the West forgot and repressed: that the human being is created “in God’s image.” In an inclusive thinking, Levinas is presented here as a frequent traveler between Athens and Jerusalem, as a philosopher and a Jew, a “Greek,” but undeniably a Jewish one. KEY WORDS – “Greek” thinking. “Hebrew” thinking. Levinas. (shrink)

An outline for a modal interpretation in terms of possible worlds is presented. The so-called Schmidt histories are taken to correspond to the physically possible worlds. The decoherence function defined in the histories formulation of quantum theory is taken to prescribe a non-classical probability measure over the set of the possible worlds. This is shown to yield dynamics in the form of transition probabilities for occurrent events in each world. The role of the consistency condition is discussed.

In discussion with M. Buber, F. Rosenzweig, A.J. Heschel, F. Fischer and E. Levinas, Ephraim Meir outlines a novel conception of a selfhood that is grounded in dialogical thought. He focuses on the shaping of identity in present day societies and offers a new view on identity around the concepts of self-transcendence, self-difference, and trans-difference. It is suggested that in trans-different religiosity, one may discover what unites people.

Jewish business ethics in Israel addresses two major sources of economic immorality—unbounded desire and fear of economic uncertainty—through enforcement and spiritual education. Business is seen as a path to sanctity, when time is set apart for religious study, wealth is seen as originating from God, the vulnerable are protected against fraud and theft, charity is seen as an obligation, and mercy towards debtors is tempered by justice.

An examination of the criteria implied in claims about the realism of cubism, Typified by those of hintikka in "concept as vision". It is argued that his analysis of cubism is inadequate and incoherent and that the artistic component of his attempted analogy between cubism and husserlian phenomenology is distorted and ineffective. For the realism of cubist preoccupation is to be understood, Not merely as a departure from so-Called illusionistic painting, But in terms of new pictorial techniques and emphases: in (...) terms of the internal elements, The unique character of the painting itself. (shrink)

We start by very briefly describing the measurement problem in quantum mechanics and its solution by the Many Worlds Interpretation. We then describe the preferred basis problem, and the role of decoherence in the MWI. We discuss a number of approaches to the preferred basis problem and argue that contrary to the received wisdom, decoherence by itself does not solve the problem. We address Wallace’s emergentist approach based on what he calls Dennett’s criterion, and we compare the logical structure of (...) Wallace’s argument that the Hilbert space structure and the unitary dynamics should be considered a complete description of the physics of the universe with the logical structure of the EPR argument against the completeness of quantum mechanics. Then, we consider the nature of so-called “high level emergent facts” and Dennett’s criterion in Wallace’s approach and we discuss the implications of its non-reductive nature. Finally, we conclude that the MWI is not a straightforward interpretation of pure quantum mechanics that doesn't add anything to it. Whether or not it is more parsimonious than other quantum mechanical theories depends on the details of the additions. (shrink)