This paper considers states on the Weyl algebra of the canonical commutation relations over the phase space R^{2n}. We show that a state is regular iff its classical limit is a countably additive Borel probability measure on R^{2n}. It follows that one can "reduce" the state space of the Weyl algebra by altering the collection of quantum mechanical observables so that all states are ones whose classical limit is physical.

ABSTRACT Ruetsche claims that an abstract C*-algebra of observables will not contain all of the physically significant observables for a quantum system with infinitely many degrees of freedom. This would signal that in addition to the abstract algebra, one must use Hilbert space representations for some purposes. I argue to the contrary that there is a way to recover all of the physically significant observables by purely algebraic methods. 1Introduction 2Preliminaries 3Three Extremist Interpretations 3.1Algebraic imperialism 3.2Hilbert space conservatism 3.3Universalism 4Parochial (...) Observables 4.1Parochial observables for the imperialist 4.2Parochial observables for the universalist 5Conclusion. (shrink)

It is well known that the process of quantization—constructing a quantum theory out of a classical theory—is not in general a uniquely determined procedure. There are many inequivalent methods that lead to different choices for what to use as our quantum theory. In this paper, I show that by requiring a condition of continuity between classical and quantum physics, we constrain and inform the quantum theories that we end up with.

In this article, I examine the relationship between physical quantities and physical states in quantum theories. I argue against the claim made by Arageorgis that the approach to interpreting quantum theories known as Algebraic Imperialism allows for “too many states.” I prove a result establishing that the Algebraic Imperialist has very general resources that she can employ to change her abstract algebra of quantities in order to rule out unphysical states.

Ruetsche claims that an abstract C*-algebra of observables will not contain all of the physically significant observables for a quantum system with infinitely many degrees of freedom. This would signal that in addition to the abstract algebra, one must use Hilbert space representations for some purposes. I argue to the contrary that there is a way to recover all of the physically significant observables by purely algebraic methods. 1 Introduction2 Preliminaries3 Three Extremist Interpretations3.1 Algebraic imperialism3.2 Hilbert space conservatism3.3 Universalism4 Parochial (...) Observables4.1 Parochial observables for the imperialist4.2 Parochial observables for the universalist5 Conclusion. (shrink)

This paper attempts to make sense of a notion of ``approximation on certain scales'' in physical theories. I use this notion to understand the classical limit of ordinary quantum mechanics as a kind of scaling limit, showing that the mathematical tools of strict quantization allow one to make the notion of approximation precise. I then compare this example with the scaling limits involved in renormalization procedures for effective field theories. I argue that one does not yet have the mathematical tools (...) to make a notion of ``approximation on certain scales" precise in extant mathematical formulations of effective field theories. This provides guidance on the kind of further work that is needed for an adequate interpretation of quantum field theory. (shrink)

Ruetsche argues that a problem of unitarily inequivalent representations arises in quantum theories with infinitely many degrees of freedom. I provide an algebraic formulation of classical field theories and show that unitarily inequivalent representations arise there as well. I argue that the classical case helps us rule out one possible response to the problem of unitarily inequivalent representations called Hilbert Space Conservatism.

One implication of Bell’s theorem is that there cannot in general be hidden variable models for quantum mechanics that both are noncontextual and retain the structure of a classical probability space. Thus, some hidden variable programs aim to retain noncontextuality at the cost of using a generalization of the Kolmogorov probability axioms. We generalize a theorem of Feintzeig to show that such programs are committed to the existence of a finite null cover for some quantum mechanical experiments, i.e., a (...) finite collection of probability zero events whose disjunction exhausts the space of experimental possibilities. (shrink)

I argue that it is possible to give an interpretation of the classical ℏ→0 limit of quantum mechanics that results in a partial explanation of the success of classical mechanics. The interpretation...

Classical accounts of intertheoretic reduction involve two pieces: first, the new terms of the higher-level theory must be definable from the terms of the lower-level theory, and second, the claims of the higher-level theory must be deducible from the lower-level theory along with these definitions. The status of each of these pieces becomes controversial when the alleged reduction involves an infinite limit, as in statistical mechanics. Can one define features of or deduce the behavior of an infinite idealized system from (...) a theory describing only finite systems? In this paper, I change the subject in order to consider the motivations behind the definability and deducibility requirements. The classical accounts of intertheoretic reduction are appealing because when the definability and deducibility requirements are satisfied there is a sense in which the reduced theory is forced upon us by the reducing theory and the reduced theory contains no more information or structure than the reducing theory. I will show that, likewise, there is a precise sense in which in statistical mechanics the properties of infinite limiting systems are forced upon us by the properties of finite systems, and the properties of infinite systems contain no information beyond the properties of finite systems. (shrink)

Classical accounts of intertheoretic reduction involve two pieces: first, the new terms of the higher-level theory must be definable from the terms of the lower-level theory, and second, the claims of the higher-level theory must be deducible from the lower-level theory along with these definitions. The status of each of these pieces becomes controversial when the alleged reduction involves an infinite limit, as in statistical mechanics. Can one define features of or deduce the behavior of an infinite idealized system from (...) a theory describing only finite systems? In this paper, I change the subject in order to consider the motivations behind the definability and deducibility requirements. The classical accounts of intertheoretic reduction are appealing because when the definability and deducibility requirements are satisfied there is a sense in which the reduced theory is forced upon us by the reducing theory and the reduced theory contains no more information or structure than the reducing theory. I will show that, likewise, there is a precise sense in which in statistical mechanics the properties of infinite limiting systems are forced upon us by the properties of finite systems, and the properties of infinite systems contain no information beyond the properties of finite systems. (shrink)

This article takes up a suggestion that the reason we cannot find certain hidden variable theories for quantum mechanics, as in Bell’s theorem, is that we require them to assign joint probability distributions on incompatible observables. These joint distributions are problematic because they are empirically meaningless on one standard interpretation of quantum mechanics. Some have proposed getting around this problem by using generalized probability spaces. I present a theorem to show a sense in which generalized probability spaces can’t serve as (...) hidden variable theories for quantum mechanics, so the proposal for getting around Bell’s theorem fails. 1 Introduction2 Bell’s Theorem and Classical Probability Spaces2.1 Bell’s derivation of the Bell inequalities2.2 Pitowsky’s derivation of the Bell inequalities3 Incompatible Observables4 Generalized Probability Spaces5 A ‘No-Go’ Theorem6 Conclusions. (shrink)

I argue that philosophical issues concerning reductive explanations help constrain the construction of quantum theories with appropriate state spaces. I illustrate this general proposal with two examples of restricting attention to physical states in quantum theories: regular states and symmetry-invariant states. 1Introduction2Background2.1 Physical states2.2 Reductive explanations3The Proposed ‘Correspondence Principle’4Example: Regularity5Example: Symmetry-Invariance6Conclusion: Heuristics and Discovery.

We argue against claims that the classical ℏ → 0 limit is “singular” in a way that frustrates an eliminative reduction of classical to quantum physics. We show one precise sense in which quantum mechanics and scaling behavior can be used to recover classical mechanics exactly, without making prior reference to the classical theory. To do so, we use the tools of strict deformation quantization, which provides a rigorous way to capture the ℏ → 0 limit. We then use the (...) tools of category theory to demonstrate one way that this reduction is explanatory: it illustrates a sense in which the structure of quantum mechanics determines that of classical mechanics. (shrink)

Bundles of C*-algebras can be used to represent limits of physical theories whose algebraic structure depends on the value of a parameter. The primary example is the ℏ→0 limit of the C*-algebras of physical quantities in quantum theories, represented in the framework of strict deformation quantization. In this paper, we understand such limiting procedures in terms of the extension of a bundle of C*-algebras to some limiting value of a parameter. We prove existence and uniqueness results for such extensions. Moreover, (...) we show that such extensions are functorial for the C*-product, dynamical automorphisms, and the Lie bracket (in the ℏ→0 case) on the fiber C*-algebras. (shrink)

Prop. 1 on p. 10 is false as stated. The proof implicitly assumes that all Cauchy sequences.

A number of arguments purport to show that quantum field theory cannot be given an interpretation in terms of localizable particles. We show, in light of such arguments, that the classical ħ→0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbar \rightarrow 0$$\end{document} limit can aid our understanding of the particle content of quantum field theories. In particular, we demonstrate that for the massive Klein–Gordon field, the classical limits of number operators can be understood to encode local information about particles (...) in the corresponding classical field theory. (shrink)

Capital punishment—the legally authorized killing of a criminal offender by an agent of the state for the commission of a crime—stands in special need of moral justification. This is because execution is a particularly severe punishment. Execution is different in kind from monetary and custodial penalties in an obvious way: execution causes the death of an offender. While fines and incarceration set back some of one’s interests, death eliminates the possibility of setting and pursuing ends. While fines and incarceration narrow (...) one’s routes to happiness, death eliminates its possibility. Not surprisingly, there is much debate about the moral permissibility of capital punishment. This entry maps the terrain of this debate. The first section discusses justifications of the death penalty as they appear in major theories of punishment. The second section surveys moral objections to execution that apply to most justifications. The third addresses procedural criticisms, which do not target the morality of execution so much as the justice of its implementation. (shrink)

We perceive smells as perduring complex entities within a distal array that might be conceived of as smellscapes. However, the philosophical orthodoxy of Odor Theories has been to deny that smells are perceived as having a distal location. Recent challenges have been mounted to Odor Theories’ veracity in handling the timescale of olfactory perception, how it individuates odors as a distal entities, and their claim that olfactory perception is not spatial. The paper does not aim to dispute these criticisms. Rather, (...) what will be shown is that Molecular Structure Theory, a refinement of Odor Theory, can be further developed to handle these challenges. The theory is further refined by focusing on distal perception that requires considering the perceptual object as mereologically complex persisting odor against a background scene conceived of as a smellscape. What will be offered is an expansion of Molecular Structure Theory to account for distal smell perception within natural environments. (shrink)

This article is concerned with a puzzle that arises from three initially plausible assumptions that form an inconsistent triad: (1) Epistemic reasons are normative reasons (normativism); (2) reasons are normative only if conformity with them is good (the reasons/value-link); (3) conformity with epistemic reasons need not be good (the nihilist assumption). I start by defending the reasons/value-link, arguing that normativists need to reject the nihilist assumption. I then argue that the most familiar view that denies the nihilist assumption – epistemic (...) teleology – is untenable. Finally, I consider two alternative ways of accounting for the goodness of conformity with epistemic reasons: it may be good because it accords with the virtue of reasons-responsiveness, and it may be good because it is good to conform with normative reasons as such. I argue that both of these conceptions avoid the problems of epistemic teleology and merit serious consideration as potential solutions to the puzzle. (shrink)

We are immersed within an odorous sea of chemical currents that we parse into individual odors with complex structures. Odors have been posited as determined by the structural relation between the molecules that compose the chemical compounds and their interactions with the receptor site. But, naturally occurring smells are parsed from gaseous odor plumes. To give a comprehensive account of the nature of odors the chemosciences must account for these large distributed entities as well. We offer a focused review of (...) what is known about the perception of odor plumes for olfactory navigation and tracking, which we then connect to what is known about the role odorants play as properties of the plume in determining odor identity with respect to odor quality. We end by motivating our central claim that more research needs to be conducted on the role that odorants play within the odor plume in determining odor identity. (shrink)

This paper is about an asymmetry in the justification of praising and blaming behaviour which free will theorists should acknowledge even if they do not follow Wolf and Nelkin in holding that praise and blame have different control conditions. That is, even if praise and blame have the same control condition, we must have stronger reasons for believing that it is satisfied to treat someone as blameworthy than we require to treat someone as praiseworthy. Blaming behaviour which involves serious harm (...) can only be justified if the claim that the target of blame acted freely cannot be reasonably doubted. But harmless praise can be justified so long as the claim that the candidate for praise did not act freely can be reasonably doubted. Anyone who thinks a debate about whether someone acted freely is truth-conducive has to acknowledge that reasonable doubt is possible in both these cases. (shrink)

Nietzsche distinguished between two forces in art: Apollonian, which represents order and reason, and Dionysian, which represents chaos and energy. Economists, Ward argues, have operated for too long under the assumption that their work reflects the scientific, Apollonian principals that inform physics when they simply do not apply to economics: 'constants' in economics stand in for variables, and the core scientific principles of prediction and replication are all but ignored by economists. Ward encourages economists to reintegrate the standard rigor of (...) the scientific method into their work while embracing the fact of the shape-shifting changeability of human beings. Economists can still aspire to scientific standards, as is demonstrated by the success of biology, in which there is considerable Dionysian variability. Economists must avoid the temptation to wish away dynamic complexity and diversity and must recognize, among other things, that the desire to take risks is fundamentally human. The second half of the book takes some first steps toward creating this new Dionysian Economics. (shrink)

Akrasia bezeichnet bei Aristoteles die tadelnswerte charakterliche Disposition, trotz einer richtigen Auffassung des Guten aufgrund körperlicher Begierden das Schlechte zu tun. Den Typus des Unbeherrschten greift Aristoteles in seinen Schriften wiederholt auf. Kleinere Abhandlungen finden sich in Magna moralia II 4–6 und Problemata XXVIII, wobei die ausführlichste Erörterung in der Nikomachischen Ethik VII 1–11 stets im Zentrum der Rezeption stand.

Diese Hardcover-Ausgabe ist Teil der TREDITION CLASSICS. Der Verlag tredition aus Hamburg veroffentlicht in der Buchreihe TREDITION CLASSICS Werke aus mehr als zwei Jahrtausenden. Diese waren zu einem Grossteil vergriffen oder nur noch antiquarisch erhaltlich. Mit TREDITION CLASSICS verfolgt tredition das Ziel, tausende Klassiker der Weltliteratur verschiedener Sprachen wieder als gedruckte Bucher zu verlegen - und das weltweit! Die Buchreihe dient zur Bewahrung der Literatur und Forderung der Kultur. Sie tragt so dazu bei, dass viele tausend Werke nicht in Vergessenheit (...) geraten. (shrink)

Hardly anyone disputes that discrimination can be a grave moral wrong. Yet this consensus masks fundamental disagreements about what makes something discrimination, as well as precisely why acts of discrimination are wrong. Benjamin Eidelson develops systematic answers to those two questions. He claims that discrimination is a form of differential treatment distinguished by its special connection to the differential ascription of some property to different people, and goes on to argue that what makes some cases of discrimination intrinsically wrongful (...) is that they manifest an attitude of disrespect for the personhood of those who are disfavored. He endeavors to specify what this attitude consists in, and to demonstrate how attending to its character can help us to better understand the moral dimensions of different forms of wrongful discrimination. The book concludes with an extended discussion of racial profiling in law enforcement. (shrink)

This book presents a contextual study of the life and work of the Cambridge Platonist Ralph Cudworth (1617-1688). Focusing on the theological basis of Cudworth's ethical philosophy, this book unlocks the hitherto ignored political aspect to Cudworth's ethical philosophy. Through a detailed examination of Cudworth's published works - particularly his voluminous "True intellectual system of the Universe" -, his posthumously published writings, and his 'freewill' manuscripts Benjamin Carter argues that the ethical and political arguments in Cudworth's philosophy develop out (...) of Cudworth's Trinitarian theology. Carter traces the link between Cudworth's trinitarianism and his ethical and political ideas by placing Cudworth's work in the turbulent religious and intellectual context of seventeenth-century England, and the University of Cambridge in particular. (shrink)

I have taken an experimental approach to this question. Freely voluntary acts are preceded by a specific electrical change in the brain that begins 550 ms before the act. Human subjects became aware of intention to act 350-400 ms after RP starts, but 200 ms. before the motor act. The volitional process is therefore initiated unconsciously. But the conscious function could still control the outcome; it can veto the act. Free will is therefore not excluded. These findings put constraints on (...) views of how free will may operate; it would not initiate a voluntary act but it could control performance of the act. The findings also affect views of guilt and responsibility. But the deeper question still remains: Are freely voluntary acts subject to macro-deterministic laws or can they appear without such constraints, non-determined by natural laws and ‘truly free'? I shall present an experimentalist view about these fundamental philosophical opposites. (shrink)

An English language translation accompanies the original Greek text of Aristotle's book about the nature of the state, constitutions, revolutions, democracy, and oligarchy.

While psychopathy research has been growing for decades, a relatively new area of research is corporate psychopathy. Corporate psychopaths are simply psychopaths working in organizational settings. They may be attracted to the financial, power, and status gains available in senior positions and can cause considerable damage within these roles from a manipulative interpersonal style to large-scale fraud. Based upon prior studies, we analyze psychopathy research pertaining to 23 moral emotions classified according to functional quality and target. Based upon our review, (...) we suggest that psychopaths are high in moral emotions associated with other-directed negative signals, low in self-directed negative signals, and low in other-directed positive signals. We found no empirical articles related to self-directed positive signals. This understanding of the specific moral emotion deficits of corporate psychopaths provides greater theoretical understanding and practical implications of knowing which individuals not to promote, though more research is needed on moral emotions that are faked for manipulative reasons. (shrink)

I have taken an experimental approach to this question. Freely voluntary acts are preceded by a specific electrical change in the brain that begins 550 ms before the act. Human subjects became aware of intention to act 350-400 ms after RP starts, but 200 ms. before the motor act. The volitional process is therefore initiated unconsciously. But the conscious function could still control the outcome; it can veto the act. Free will is therefore not excluded. These findings put constraints on (...) views of how free will may operate; it would not initiate a voluntary act but it could control performance of the act. The findings also affect views of guilt and responsibility. But the deeper question still remains: Are freely voluntary acts subject to macro-deterministic laws or can they appear without such constraints, non-determined by natural laws and ‘truly free'? I shall present an experimentalist view about these fundamental philosophical opposites. (shrink)

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps, and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may (...) freely copy and distribute this work, as no entity has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. (shrink)

The problem of deviant causation has been a serious obstacle for causal theories of action. We suggest that attending to the problem of deviant causation reveals two related problems for causal theories. First, it threatens the reductive ambitions of causal theories of intentional action. Second, it suggests that such a theory fails to account for how the agent herself is guided by her reasons. Focusing on the second of these, we argue that the problem of guidance turns out to be (...) related to a number of other issues in the literature on action explanation, and that it is much more general: it threatens not only causal theories but any theory of action. Finally, we suggest that a certain version of the view that acting has a constitutive or formal aim can overcome this problem. (shrink)

This introduction argues for the importance of Suárez’s philosophy for historians of medieval philosophy as well as historians of early modern philosophy. It also provides synopses of each of the essays in the volume and a brief biography of Suárez, placing his life and works into some historical context.

In Testimony, Trust, and Authority, Benjamin McMyler argues that philosophers have failed to appreciate the nature and significance of our epistemic dependence ...

La Conscience malheureuse est un ouvrage majeur de la philosophie existentielle des années trente. Jeune poète et critique roumain expatrié en France en 1923, Benjamin Fondane (1898-1944) fait partie de ces auteurs hantés par l'absence de Dieu dans la culture rationaliste moderne marquée par le positivisme. D'abord proche de l'esprit subversif du dadaïsme, il identifie rapidement sa révolte par l'absurde à la démarche ironique et irrationaliste du philosophe russe émigré en France Léon Chestov. C'est l'adhésion sans conditions à sa (...) philosophie existentielle à partir de 1929 qui lui permet de déconstruire la tradition du logos issue d'Athènes. Il ne cessera dès lors de dénoncer un conflit profond entre le " réel " construit par la culture rationaliste et l'existant singulier, entre le savoir et le " non-voir " des poètes et de certains mystiques, entre Athènes et Jérusalem: ce divorce intime, c'est celui de la " conscience malheureuse ". (shrink)