In this paper I show that one version of motivational internalism follows from the so-called ideal observer theory. Let us call the version of the ideal observer theory used in this essay (IOT). According to (IOT), it is necessarily the case that it ought to be that A if and only if every ideal observer wants it to be the case that A. We shall call the version of motivational internalism that follows (...) from (IOT) (moral) conditional belief motivational internalism (CBMI). According to (CBMI), it is necessarily the case that, for every x: if x were an ideal observer, it would be the case that x believes that it ought to be that A only if x wants it to be the case that A. Given that it is necessarily true that no ideal observer has any false beliefs, (IOT) entails (CBMI). Or, so I shall argue. (shrink)

I build on Adam Smith’s account of the impartial spectator in The Theory of Moral Sentiments in order to offer a modest ideal observer theory of moral judgment that is adequate in the following sense: the account specifies the hypothetical conditions that guarantee the authoritativeness of an agent’s (or agents’) responses in constituting the standard in question, and, if an actual agent or an actual community of agents are not under those conditions, their responses are not (...) authoritative in setting this standard. However, in the account that I provide, the hypothetical conditions can themselves be constructed from the psychology and interactions of actual human beings. In other words, facts about the morally appropriate and inappropriate are determined from hypothetical conditions that––while agents in a given society might have yet to attain them––can be constructed from those agents’ shared experiences. Thus, the account offers both an attainable standard of moral judgment and a standard that can transcend the biases of the society which gave rise to it. I also defend the account against three challenges: (a) ideal observer theories do not offer the right kind of motivation to act on the verdicts of the ideal observer; (b) ideal observer theories cannot explain why the idealization in question is well-motivated and not objectionably ad hoc; (c) the standard used in ideal observer theories cannot be defended upon further reflection, because we would need a non-arbitrary, second-order standard to govern our reflection on the first-order standard of moral judgment. (shrink)

I examine the prospects for an ideal observer theory in aesthetics modelled on Roderick Firth’s 1952 paper ‘Ethical Absolutism and the Ideal Observer’. The first generation of philosophers to consider an Ideal Aesthetic Observer found fault with Firth’s omniscience condition; more recent writers have criticized the affective component of an IAO’s response. In the end, most discussants reject the possibility of an IAO theory. Though the IAO theory gets the model wrong (...) for answering meta‐aesthetic questions, revisiting the debate prompts useful reconsideration of the role of the critic and the nature of aesthetic appreciation. (shrink)

THIS PAPER IS A DEFENSE OF AN OBJECTIVIST VERSION OF\nRODERICK FIRTH'S IDEAL OBSERVER THEORY OF ETHICS. IT\nANALYZES AND CRITIQUES A POWERFUL, RELATIVIZED IDEAL\nOBSERVER THEORY ADVANCED BY THOMAS CARSON.

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G. E. MOORE'S PROOF THAT 'GOOD' CANNOT BE DEFINED IS THE\nANALOGUE OF HUME'S PROOF THAT THE IDEA OF CAUSE HAS NO\nEMPIRICAL CORRELATE. AS A PROOF, IT CANNOT SUSTAIN ETHICAL\nINTUITIONISM, EMOTIVISM, OR THE VARIOUS MODIFICATIONS OF\nETHICAL NATURALISM WHICH HAVE BEEN MADE TO REST UPON IT.\nHOWEVER, IT DOES SUSTAIN THE THEORY THAT VALUES ARE CAUSES\nOF HUMAN RESPONSES, AND THAT, UNDER A METHODOLOGICAL\nINTERPRETATION OF OBJECTIVITY, VALUES HAVE OBJECTIVE\nCOGNITIVE STATUS AS CAUSES OF RESPONSES IN THE\nCONSCIOUSNESS OF A HYPOTHETICAL BEING, AN IDEAL (...) class='Hi'>OBSERVER. (shrink)

: In this paper I attempt to defuse a set of epistemic worries commonly raised against ideal observer theories. The worries arise because of the omniscience often attributed to ideal observers – how can we, as finite humans, ever have access to the moral judgements or reactions of omniscient beings? I argue that many of the same concerns arise with respect to other moral theories (and that these concerns do not in fact reveal genuine flaws in any (...) of these theories), and further, that we can and often do have knowledge of the reactions of ideal observers (according to standard, prominent theories in the domain of epistemology). (shrink)

This paper examines Ideal Observer Theory and uses criticisms of it to lay the foundation for a revised theory first suggested by Jonathan Harrison called Ideal Moral Reaction Theory. Harrison’s Ideal Moral Reaction Theory stipulates that the being producing an ideal moral reaction be dispassionate. This paper argues for the opposite: an Ideal Moral Reaction must be performed by a passionate being because it provides motivation for action and places ethical (...) decision-making within human grasp. (shrink)

I argue that recent virtue theories (including those of Hursthouse, Slote, and Swanton) face important initial difficulties in accommodating the supererogatory. In particular, I consider several potential characterizations of the supererogatory modeled upon these familiar virtue theories (and their accounts of rightness) and argue that they fail to provide an adequate account of supererogation. In the second half of the paper I sketch an alternative virtue-based characterization of supererogation, one that is grounded in the attitudes of virtuous ideal observers, (...) and that avoids the concerns raised in the first part of the paper. (shrink)

Knill, Kersten, & Mamassian (Chapter 6) provide an interesting discussion of how the Bayesian formulation can be used to help investigate human vision. In their view, computational theories can be based on an ideal observer that uses Bayesian inference to make optimal use of available information. Four factors are important here: the image information used, the output structures estimated, the priors assumed (i.e., knowledge about the structure of the world), and the likelihood function used (i.e., knowledge about the (...) projection of the world onto the sensors). Knill & Kersten argue that such a framework not only helps analyze a perceptual task, but can also help investigators to define it. Two examples are provided (the interpretation of surface contour and the perception of moving shadows) to show how this approach can be used in practice. As the authors admit, most (if not all) perceptual processes are ill-suited to a "strong" Bayesian approach based on a single consistent model of the world. Instead, they argue for a "weak" variant that assumes Bayesian inference to be carried out in modules of more limited scope. But how weak is "weak"? Are such approaches suitable for only a few relatively low-level tasks, or can they be applied more generally? Could a weak Bayesian approach, for example, explain how we would recognize the return of Elvis Presley? The formal modelling of human perception To help get a fix on things, it is useful to examine the fate of an earlier attempt to formalize human perception: the application of information theory. It was once hoped that this theory—a close cousin of the Bayesian formulation—would provide a way to uncover information-handling laws that were largely independent of physical implementation. In this approach, the human nervous system was assumed to have.. (shrink)

Virtue theorists in ethics often embrace the following characterizationof right action: An action is right iff a virtuous agent would performthat action in like circumstances. Zagzebski offers a parallel virtue-basedaccount of epistemically justified belief. Such proposals are severely flawedbecause virtuous agents in adverse circumstances, or through lack ofknowledge can perform poorly. I propose an alternative virtue-based accountaccording to which an action is right (a belief is justified) for an agentin a given situation iff an unimpaired, fully-informed virtuous observerwould deem the (...) action to be right (the belief to be justified). (shrink)

THE PURPOSE OF THIS ARTICLE IS NOT TO EXAMINE THE CONCEPT\nOF THE IDEAL OBSERVER AS TO ITS QUALIFICATIONS AS AN\nETHICAL THEORY, BUT TO EXPOSE THE IMPLICATIONS IT HAS FOR\nAN UNDERSTANDING OF THE ROLE OF RATIONALITY IN ETHICAL\nDISCOURSE. THE "IDEAL OBSERVER THEORY" IS REALLY NOT\nVALUE-FREE, ACCORDING TO THE AUTHOR. THE MEANING OF SUCH AN\nOBSERVER IS FULLY EXPLORED, IN TERMS OF BEING "IMPARTIAL,"\n"FULLY INFORMED," "IDEALLY RATIONAL," ETC., AND RATIONALITY\nIS FINALLY NOTED TO BE NOT A PERFECT UNIFORMITY (...) OF\nATTITUDES AMONG IDEAL OBSERVERS BUT THE FREEDOM AND\nWILLINGNESS TO ASK FOR REASONS, TO ARGUE. (STAFF). (shrink)

The moral philosophy of the first half of the twentieth century, at least in the English-speaking part of the world, has been largely devoted to problems of an ontological or epistemological nature. This concentration of effort by many acute analytical minds has not produced any general agreement with respect to the solution of these problems; it seems likely, on the contrary, that the wealth of proposed solutions, each making some claim to plausibility, has resulted in greater disagreement than ever before, (...) and in some cases disagreement about issues so fundamental that certain schools of thought now find it unrewarding, if not impossible, to communicate with one another. Moral philosophers of almost all schools seem to agree, however, that no major possibility has been neglected during this period, and that every proposed solution which can be adjudged at all plausible has been examined with considerable thoroughness. It is now common practice, for example, for the authors of books on moral philosophy to introduce their own theories by what purports to be a classification and review of all \emph{possible} solutions to the basic problems of analysis; and in many cases, indeed, the primary defense of the author's own position seems to consist in the negative argument that his own position cannot fail to be correct because none of the others which he has mentioned is satisfactory. (shrink)

The interpretation and justification of Earman’s symmetry principles (stating that any spacetime symmetry should be a dynamical symmetry and vice-versa) are controversial. This is directly connected to the question of how certain structures in physical theories acquire a spatiotemporal character. In this paper I address these issues from a perspective (arguably functionalist) that relates the classical discussion about the measurement and geometrical determination of space with a characterization of the notion of dynamical symmetry in which its application to subsystems that (...) act as measuring devices plays an essential role. I argue that in order to reformulate and justify Earman’s principles, and to provide a general account of the chronogeometrical character of some structures, the existence of a coordination between two notions of congruence, one mathematical and one dynamical, must be assumed for the interpretation of physical theories. This coordination provides the basis on which we can understand space-time in physical theories as the codification (representation) of certain features of the access ideal observers have to experience. (shrink)

Moral response-dependent metaethical theories characterize moral properties in terms of the reactions of certain classes of individuals. Nick Zangwill has argued that such theories are flawed: they are unable to accommodate the motive of duty. That is, they are unable to provide a suitable reason for anyone to perform morally right actions simply because they are morally right. I argue that Zangwill ignores significant differences between various approvals, and various individuals, and that moral response-dependent theories can accommodate the motive of (...) duty. (shrink)

I show that roderick firth's ideal observer theory contains a loophole which allows conflicting ethical statements to be true. To remedy this, I recommend that we add to the list of defining characteristics of an ideal observer, The requirement that he be unable to have obligation-Determining reactions toward acts which he knows to be incompatible.

This is a defense of the theory of rational consensus articulated by k lehrer and c wagner; (1981, "rational consensus in science and society", D reidel, Dordrecht) based on iterated weighted averaging of utilities and probabilities against the criticisms of I levi, F f schmidt, D baird, J l kranuip, B loewer and r laddage. The defense is that the rational consensus in question would be accepted by an ideal observer.

The ideal observer theory provides a fruitful framework for doing environmental ethics. It is not homocentric, it can illuminate the relationship between religious and nonreligious ethics, and it has implications for normative environmental issues. I defend it against eritieism raised by Thomas Carson and Jonathan Harrison.

The ideal observer theory provides a fruitful framework for doing environmental ethics. It is not homocentric, it can illuminate the relationship between religious and nonreligious ethics, and it has implications for normative environmental issues. I defend it against eritieism raised by Thomas Carson and Jonathan Harrison.

In the United States, convicted offenders frequently lose the right to vote, at least temporarily. Drawing on the common observation that citizens of color lose democratic rights at disproportionately high rates, this chapter argues that this punishment is problematic in non-ideal societies because of the way in which it diminishes the political power of marginalized groups and threatens to reproduce patterns of domination and subordination, when they occur. This chapter then uses the case of penal disenfranchisement to illustrate how (...) idealized discussions of deterrence, rehabilitation, and retribution often ignore the relationship between punishment and social/political power, and thus systematically obscure morally significant aspects of our broader penal practices. (shrink)

Several arguments are considered which purport to demonstrate the impossibility of theory-neutral observation. The most important of these infers the continuity of observation with theory from the presumed continuity of perception with cognition, a doctrine widely espoused in recent cognitive psychology. An alternative psychological account of the relation between cognition and perception is proposed and its epistemological consequences for the observation/theory distinction are then explored.

Recent divine command theorists make a serious and impressive case that a sophisticated divine command theory has significant metaethical advantages and can adequately meet traditional objections, such as the Euthyphro problem. I survey the attempt sympathetically with a view to explaining how the divine command theory can deal with traditional objections while delivering on metaethical desiderata, such as providing an account of ethical objectivity. I argue, however, that to the extent that a divine command theory succeeds, an (...) ideal observer theory can do equally well. Once the divine command theory is rendered immune to Euthyphro-related objections, we will have all the machinery needed to show that an ideal observer theory can provide the same metaethical advantages, without supposing the existence of a divine commander. Other things being equal, ontological simplicity favors the ideal observer theory. (shrink)

Feyerabend claims that what is perceived depends upon what is believed ; and he maintains that among really efficient alternative theories "each theory will possess its own experience, and there will be no overlap between these experiences". According to Feyerabend "scientific theories are ways of looking at the world; and their adoption affects our general beliefs and expectations, and thereby also our experiences...". Toulmin, Hanson, and Kuhn concur with this view. Toulmin claims that men who accept different "ideals" and (...) "paradigms" will see different phenomena. He thinks theories not only give significance to facts, but also determine what facts are for us at all. Like Feyerabend, Toulmin asserts that "we see the world through" our fundamental concepts of science "to such an extent that we forget what it would look like without them". Indeed, both Feyerabend and Toulmin would have previous thinkers "live in an observational world very different from our own". Kuhn expresses quite similar views. He feels that. (shrink)

It is a priori on many accounts of colour concepts that something is red if and only if it is such that it would look red to normal observers in normal circumstances: it is such that it would look red, as we can say, under normal conditions of observation. And as this sort of formula is widely applied to colour concepts, so similar schemas are commonly defended in relation to a variety of other concepts too. Not only are colour concepts (...) connected in such a fashion with human responses, so by many accounts are secondary quality concepts in general; aesthetic concepts, moral concepts and evaluative concepts of all kinds; modal concepts that serve to pick out the possible and the necessary; and so on. The fashion for resorting to such formulas should not be surprising. Most of us suppose that whether a given, ostensively introduced term has a certain semantic value – whether, for example, it designates a certain property – ought to show up in people’s tending to use it of things, and only of things, that apparently have that property. The obvious way of expressing this expectation is to require that the use of the ostensive term covary with the presence of the property in conditions that are normal in some sense for detecting that property. Thus there is prima facie reason to hold, and hold as an a priori matter, that for any ostensively introduced term, ‘P’, something is P if and only if it is such that it would seem P – people would be disposed to use ‘P’ to ascribe the corresponding property to it – under normal conditions of observation. The schemas invoked under this motivation may vary in many different ways, of course. First, they may not connect the bare or simple reality of being P with a normalised human response, as Philosophical Studies 96: 21–44, 1999. © 1999 Kluwer Academic Publishers. Printed in the Netherlands. 22. (shrink)

I reinterpret Bohr's attitude towards quantum mechanical formalism and its empirical content, based on his understanding of the correspondence principle and its approximate applicability. I suggest that Bohr understood complementarity as a limitation imposed by the commutation relations upon the applicability of the idealizations which had grounded the use of the correspondence principle. By discussing this interpretation against the contemporary background of discussions regarding “naïve realism” about operators (as observables), I suggest that a Bohrian view on the empirical content of (...) quantum mechanical operators may provide a middle ground between complete contextualism and an untenable realism about quantum properties. (shrink)

Machine learning (ML) refers to a class of computer-facilitated methods of statistical modelling. ML modelling techniques are now being widely adopted across the sciences. A number of outspoken representatives from the general public, computer science, various scientific fields, and philosophy of science alike seem to share in the belief that ML will radically disrupt scientific practice or the variety of epistemic outputs science is capable of producing. Such a belief is held, at least in part, because its adherents take ML (...) to exist on novel epistemic footing relative to classical mathematical or statistical modelling approaches utilised in science. Namely, they take modelling with ML to be a “theory-free” enterprise, in the sense of not resting essentially on input from human conceptual grasp on the target phenomenon and domain expertise. I take this view to arise from the further, and more deeply entrenched belief that data is worldly and objective; i.e., data is viewed as recapitulating or representing with perfect fidelity the structure or properties of the systems in nature it is sampled from. Yet most contemporary philosophers of science take on board, in one version or other, the thesis of theory-ladenness or theory-mediation of observation or measurement. From this, it follows that most philosophers of science (and, I will venture, many scientists) hold irreconcilable views on the nature of data, an internal tension which threatens the integrity of their appraisals of ML in science. Taking the thesis of theory-ladenness on board---and its implications for the nature of data seriously---it follows that there is no reason to believe that ML differs fundamentally in its epistemic footing from established mathematical modelling approaches in the sciences. I show that usage and interpretation can differ from “standard practice” in scientific projects which wield the tools of ML without accepting a difference in the epistemic or representational status of such tools. (shrink)

We reconstruct essential features of Lagrange’s theory of analytical functions by exhibiting its structure and basic assumptions, as well as its main shortcomings. We explain Lagrange’s notions of function and algebraic quantity, and we concentrate on power-series expansions, on the algorithm for derivative functions, and the remainder theorem—especially on the role this theorem has in solving geometric and mechanical problems. We thus aim to provide a better understanding of Enlightenment mathematics and to show that the foundations of mathematics did (...) not, for Lagrange, concern the solidity of its ultimate bases, but rather purity of method—the generality and internal organization of the discipline. (shrink)

Modern economics, with its use of advanced mathematical methods, is often looked upon as the physics of the social sciences. It is here argued that deductive analyses are more important in economics than in physics, because the economists more seldom can confirm phenomenological laws directly. The economist has to use assumptions from fundamental theory when trying to bridge the gap between observations and phenomenological laws. Partly as a result of the difficulties of establishing phenomenological laws, analyses of idealized 'model-economies' (...) play a more important, but mainly heuristic role, in economics. (shrink)

My focus in this paper is on how the basic Bayesian model can be amended to reflect the role of idealizations and approximations in the confirmation or disconfirmation of any hypothesis. I suggest the following as a plausible way of incorporating idealizations and approximations into the Bayesian condition for incremental confirmation: Theory T is confirmed by observation P relative to background knowledge B iff Pr&B) > PrandB), where I is the conjunction of idealizations and approximations used in deriving the (...) prediction PT from T, P. (shrink)

Darwin's book On the Origin of Species by Means of Natural Selection (henceforth The Origin) abounds with metaphors. In fact, the very theory of natural selection is couched in a system of metaphors that exhibit striking consistency and coherence. I argue that the phenomenon for which Darwin tries to detect the basic mechanisms, that is, biological evolution, involves vast, indeterminate, and ambiguous observations that are difficult to subject to the empirical methods. This fact motivates Darwin's extensive use of metaphors (...) to organize his observations, structure the vague concepts, and ultimately render his observations meaningful and intelligible. I demonstrate that Darwin's metaphors, as far as they are elements of Idealized Cognitive Models, prove valuable in achieving this goal. First, I identify the conceptual metaphors underlying the main metaphorical expressions and show how these conceptual metaphors give rise to entailments and inferences central to Darwin's theory. The conceptual metaphors I identify are “NATURE IS A MOTHER,” “NATURE IS A BREEDER,” “LIFE IS WAR,” “LIFE IS A RACE,” and “EVOLUTION IS PROGRESS.” I also comment briefly on the conceptual blending involved in these metaphorical mappings. I then turn to characterizing the idealized cognitive models (ICMs) that function as the pre-conceptual ground in virtue of which Darwin's metaphors are meaningful, coherent, and helpful to scientific thinking. These ICMs are the ICM of STRUGGLE and the image-schema of SOURCE-PATH-GOAL. (shrink)

According to many popular views in normative ethics, meta-ethics and axiology, facts about what we ought to do or what is good for us depend on facts about the attitudes that some agent would have in some relevant idealized circumstances. This paper presents an unrecognized structural problem for such views which threatens to be devastating.

A Theory of Shopping offers a highly original perspective on one of our most basic everyday activities - shopping. We commonly assume that shopping is primarily concerned with individuals and materialism. But Miller rejects this assumption and follows the surprising route of analysing shopping by means of an analogy with anthropological studies of sacrificial ritual. He argues that the act of purchasing goods is almost always linked to other social relations, and most especially those based on love and care. (...) The ethnographic sections of the book are based on a year's study of shopping on a street in North London. This provides the basis for a sensitive description of the issues the shopper confronts when making decisions as to what to buy. Miller develops a theory to account for these observations, arguing that shopping typically consists of three major stages which reflect the three key stages of many rites of sacrifice. In both shopping and sacrifice the ultimate intention is to constitute others as desiring subjects. Finally the book examines certain historical shifts in both subjects and objects of devotion, in particular, ideals of gender and love. This treatment of shopping from the perspective of comparative anthropology represents a highly innovative approach to one of the most familiar tasks of our daily lives. Written in a clear and accessible manner, this book will be of interest to students and academics in anthropology, sociology and cultural studies, as well as anybody who wants to consider more deeply the nature of their own everyday activities. (shrink)

Introduction. Bert HAMMINGA and Neil DE MARCHI: Préface. Bert HAMMINGA and Neil DE MARCHI: Idealization and the Defence of Economics: Notes Toward a History. Part I: General Observations on Idealization in Economics. Kevin D. HOOVER: Six Queries about Idealization in an Empirical Context. Bernard WALLISER: Three Generalization Processes for Economic Models. Steven COOK and David HENDRY: The Theory of Reduction in Econometrics. Maarten C.W. JANSSEN: Economic Models and Their Applications. Adolfo GARCÍA DE LA SIENRA: Idealization and Empirical Adequacy in (...) Economic Theory. Izabella NOWAKOWA and Leszek NOWAK: On Correspondence between Economic Theories. Uskali MÄKI: Isolation, Idealization and Truth in Economics. Part II: Case Studies of Idealization in Economics. Nancy CARTWRIGHT: Mill and Menger: Ideal Elements and Stable Tendencies. Wolfgang BALZER: Exchange Versus Influence: A Case of Idealization. Kees COOLS, Bert HAMMINGA, Theo A.F. KUIPERS: Truth Approximation by Concretization in Capital Structure Theory. Daniel M. HAUSMAN: Paul Samuelson as Dr. Frankenstein: When an Idealization Runs Amuck. Hugo A. KEUZENKAMP: What if an Idealization is Problematic? The Case of the Homogeneity Condition in Consumer Demand. Werner DIEDERICH: Nowak on Explanation and Idealization in Marx's 'Capital'. Gérard JORLAND: Idealization and Transformation. Jack BIRNER: Idealizations and Theory Development in Economics. Some History and Logic of the Logic Discovery. Discussions. Leszek NOWAK: The Idealizational Methodology and Economics. Replies to Diederich, Hoover, Janssen, Jorland and Mäki. (shrink)

Response-dependence theories have historically been very popular in aesthetics, and aesthetic response-dependence has motivated response-dependence in ethics. This chapter closely examines the prospects for such theories. It breaks this category down into dispositional and fittingness strands of response-dependence, corresponding to descriptive and normative ideal observer theories. It argues that the latter have advantages over the former but are not themselves without issue. Special attention is paid to the relationship between hedonism and response-dependence. The chapter also introduces two aesthetic (...) properties that lead to wrong kinds of reasons problems for aesthetic response-dependence: insightfulness and the capacity to change one’s perspective. These properties do not have obvious parallels in the ethical domain, and so present an obstacle for response-dependence even in aesthetics. The chapter ends by examining replies on behalf of the response-dependence theorist, ultimately suggesting that a restricted form of response-dependence is the most promising way forward for fans of such theories. (shrink)

It's standard in epistemology to approach questions about knowledge and rational belief using idealized, simplified models. But while the practice of constructing idealized models in epistemology is old, metaepistemological reflection on that practice is not. Greco argues that the fact that epistemologists build idealized models isn't merely a metaepistemological observation that can leave first-order epistemological debates untouched. Rather, once we view epistemology through the lens of idealization and model-building, the landscape looks quite different. Constructing idealized models is likely the best (...) epistemologists can do. Once one starts using epistemological categories like belief, knowledge, and confidence, the realm of idealization and model-building is entered. We can object to a model of knowledge by pointing to a better model, but in the absence of a better model, the fact that a framework for epistemologizing theorizing involves simplifications, approximations, and other inaccuracies-the fact of its status as an idealized model-is not in itself objectionable. Once we accept that theorizing in epistemological terms is inescapably idealized, a number of intriguing possibilities open up. Greco defends a package of epistemological views that might otherwise have looked indefensibly dismissive of our cognitive limitations-a package according to which we know a wide variety of facts with certainty, including what our evidence is, what we know and don't know, and what follows from our knowledge. (shrink)

By the middle of the nineteenth century, it had become clear to mathematicians that the study of finite field extensions of the rational numbers is indispensable to number theory, even if one’s ultimate goal is to understand properties of diophantine expressions and equations in the ordinary integers. It can happen, however, that the “integers” in such extensions fail to satisfy unique factorization, a property that is central to reasoning about the ordinary integers. In 1844, Ernst Kummer observed that unique (...) factorization fails for the cyclotomic integers with exponent 23, i.e. the ring Z[ζ] of integers of the field Q(ζ), where ζ is a primitive twenty-third root of unity. In 1847, he published his theory of “ideal divisors” for cyclotomic integers with prime exponent. This was to remedy the situation by introducing, for each such ring of integers, an enlarged domain of divisors, and showing that each integer factors uniquely as a product of these. He did not actually construct these integers, but, rather, showed how one could characterize their behavior qua divisibility in terms of ordinary operations on the associated ring of integers. (shrink)

The claim defended in the paper is that the mechanistic account of explanation can easily embrace idealization in big-scale brain simulations, and that only causally relevant detail should be present in explanatory models. The claim is illustrated with two methodologically different models: Blue Brain, used for particular simulations of the cortical column in hybrid models, and Eliasmith’s SPAUN model that is both biologically realistic and able to explain eight different tasks. By drawing on the mechanistic theory of computational explanation, (...) I argue that large-scale simulations require that the explanandum phenomenon is identified; otherwise, the explanatory value of such explanations is difficult to establish, and testing the model empirically by comparing its behavior with the explanandum remains practically impossible. The completeness of the explanation, and hence of the explanatory value of the explanatory model, is to be assessed vis-à-vis the explanandum phenomenon, which is not to be conflated with raw observational data and may be idealized. I argue that idealizations, which include building models of a single phenomenon displayed by multi-functional mechanisms, lumping together multiple factors in a single causal variable, simplifying the causal structure of the mechanisms, and multi-model integration, are indispensable for complex systems such as brains; otherwise, the model may be as complex as the explanandum phenomenon, which would make it prone to so-called Bonini paradox. I conclude by enumerating dimensions of empirical validation of explanatory models according to new mechanism, which are given in a form of a “checklist” for a modeler. (shrink)

In the last two decades Anglophone political theory witnessed a renewed interest in social-scientific empirical findings—partly as a reaction against normative theorizing centred on the formulation of abstract, intuition-driven moral principles. This brief paper begins by showing how this turn has taken two distinct forms: (i) a non-ideal theoretical orientation, which seeks to balance the emphasis on moral principles with feasibility and urgency considerations, and (ii) a fact-centric orientation, which seeks to ground normative conclusions in empirical results. The (...) core of the paper then compares and contrast three variants of fact-centric political theory: normative behaviourism, grounded normative theory, and radical realism. The upshot: normative behaviourism achieves focus on observable behaviour at the cost of status quo bias, grounded normative theory achieves radicalism at the cost of endorsing an activist orientation to theorising, and radical realism combines a non-activist orientation with the potential for far-reaching critique of the status quo. (shrink)

Despite the pervasive use of idealizations and approximations in science, the issue of their role has been neglected or misunderstood by philosophers. Idealizations enter into a scientific analysis or explanation in at least two ways. First, they may be embodied in the very statement or formulation of laws and theories; I call such laws idealizational laws. Second, they may be conjoined to a theory as extraneous assumptions, mainly to make it easier to work with the theory. I first (...) examine the problems of testing pertaining to idealizational laws. I argue that the major theories of confirmation face difficulties in accounting for the confirmation and disconfirmation of such laws. Underlying their difficulties is the fact that those laws are about nonexistent objects. The analysis I propose of the testing of idealizational laws is based on the fact that idealized objects comprising the domains of such laws can be approximated by real objects. ;I next investigate the problems of testing in relation to theories and hypotheses which are fed idealizational assumptions and approximations from outside. In the course of my discussion of the issues surrounding the use of idealizations and approximations in science, I critically examine the views of Milton Friedman, Clark Glymour and Ronald Laymon. In the final chapter I propose an analysis of confirmation which is within the Bayesian tradition. My analysis, if correct, is an improvement over the standard Bayesian framework in two respects. First, it is a more realistic representation of the testing process in actual science. Secondly, it is capable of solving "the problem of old evidence," which has recently troubled traditional Bayesianism. Both of these advantages my analysis achieves by taking as the evidence not the observation itself, but the error or discrepancy between the observation and what was predicted by the theory in conjunction with the idealizations and approximations. ;In the Appendix I argue against a prevalent view among physicists and philosophers of science concerning the interpretation of the domain of Newton's second law, viz. the view that the domain of this law, when properly stated, consists of point-masses. (shrink)

It is tempting and not at all uncommon to find the striking—even noble—visage of an Ideal Observer staring out from the center of Hume's moral theory. When Hume claims, for instance, that virtue is “ whatever mental action or quality gives to a spectator the pleasing sentiment of approbation ,” it is only natural to think that he must have in mind not just any spectator but a spectator who is fully informed and unsullied by prejudice. And (...) when Hume writes that “the true standard of taste and beauty” is set by those who exhibit “[s]trong sense, united to delicate sentiment, improved by practice, perfected by comparison, and cleared of all prejudice,” he appears to describe a character no ordinary human could actually possess. Indeed, Hume's frequent appeals to the moral sentiments of spectators, his insistence that those sentiments depend upon taking “the general survey,” and his persistent invocation of the general point of view , together make the temptation almost irresistible. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Idealizing Hume Alan Hausman and David Hausman Hume's explanation of our belief in the continuing existence of unperceived bodies is notoriously elusive.1 Stroud, for example, despairs that it is difficult to see how Hume's elaborate discussion of the constancy and coherence of perceptions explains the origin of the idea of continuing existence, let alone our belief that there are continually existing things.2 Yet Stroud, careful as he is, does (...) not spot the key to the problem. It is not merely that constancy and coherence, the mainstays ofHume's four-part system, are obscure; rather, there is, we shall argue, a hidden assumption in the discussion which necessitates the construction of the system that embodies that obscurity. This hidden assumption is Hume's implicit idealism. That idealism,we shall show,fashionstheentirediscussionin"Ofscepticism with regard to the senses," as well as key passages in his discussion of the derivation of the idea of the self. Its main influence is on Hume's claims concerning the place of causal reasoning in forming our belief in continued existence. Once that influence is understood, Hume's theory ofcausation can itselfbe seen in a new light. Early in the Treatise, it does not seem as ifthere will be a problem in explaining beliefin the continuing existence ofindependent, thatis, unperceived, bodies. We readily suppose an object may continue individually the same, tho' severaltimesabsentfrom andpresenttothe senses; andascribe to itOn identity, notwithstanding the interruption of the perception, whenever we conclude, that if we had kept our eye or hand constantly upon it, it wou'd have convey^ an invariable and uninterrupted perception. But this conclusion beyond the impressions ofour senses can be founded only on the connexion ofcause and effect; nor can we otherwise have any security, that the object is not chang"d upon us, however much the new object may resemble that which was formerly present to the senses. Whenever we discover such a perfect resemblance, we consider, whether it be common in that species of objects; whether possibly or probably any cause cou'd operate in producing the change and resemblance; and according as we determine concerning these causes and effects, we form our judgment concerning the identity of the object. Volume XVIII Number 2 209 ALAN HAUSMAN AND DAVID HAUSMAN Here then it appears, that ofthose three relations, which depend not upon the mere ideas, the only one, that can be trac'd beyond our senses, and informs us of existences and objects, which we do not see or feel, is causation. (T 74) What is Hume committing himself to here? It certainly seems to be that,ifthereiscausal reasoninggoingonviathe principle ofassociation ofcausation in the cases he cites, itis done upon the observation ofthe constant conjunctions of physical objects and events. Furthermore, if we considercausation as aphilosophical relation, wehave here genuine constant conjunctions which would justify the belief that physical objects exist unperceived.3 Granted that sometimes we associate causally on the basis of*bad' constant conjunctions, there is no prima facie reason to think that this case is one of them. Given these implications, the knowledgeable reader of Hume must be taken somewhat aback; this does not sound like the arch sceptic of all time talking. Yet there are no qualifying passages around the onejust cited. Hume now embarks on his long analysis ofthe causal relation. He then turns, in the section "Ofscepticism with regard to the senses," to a detailed explanation of our belief in the continuing existence of unperceived bodies. He uses as one illustration a fire that one observes, after leaving one's chamber then returning, to have changed in the interim. Since we are accustomed in other instances to seeing the fire burn down, we here reason from what he calls the coherence of the change to the beliefthat the fire existed when we were not in the room. We have in the past observed five log fires burn down to four log fires and then to three log fires. We light a five log fire, leave the room, and return to a three log fire. Using coherence as our guide, we reason that there was a four log fire in the interim. What sort of reasoning... (shrink)

The Galilean explanatory style is characterized by the search for the underlying structure of phenomena, the positing of "deep" explanatory principles, and a view of the relation between theory and data, on which the search for "crucial data" is of primary importance. In this paper, I trace the dynamics of adopting the Galilean style, focusing on the science of episodic memory. I argue that memory systems, such as episodic and semantic memory, were posited as underlying competences producing the observable (...) phenomena of memory. Considered in idealized isolation from other systems, episodic memory was taken to underlay the ability of individuals to remember events from their personal past. Yet, in reality, memory systems regularly interact, standing in many-to-many relations to actual memory tasks and experiences. Upon this backdrop, I explore a puzzle about the increasing prominence of the notion of autonoetic consciousness in Tulving's theory of episodic memory. I argue that, contrary to widespread belief, the prominence is not best explained by the purported essential link between autonoetic consciousness and episodic memory. Rather, it is explained by the fact that autonoetic consciousness, hypothesized to uniquely accompany episodic retrieval, was considered a source of crucial data, predictable only from theories positing a functionally distinct episodic memory system. However, with the emergence of a new generation of theories, positing wider memory systems for remembering and imagination, the question of the relation between episodic memory and autonoetic consciousness has been reopened. This creates a pressing need for de-idealization, triggering a new search for crucial data. (shrink)

Les tendances à la dématérialisation observables dans le capitalisme à partir des années 1960, de l’économie politique (le travail immatériel) aux pratiques artistiques (l’art conceptuel), ont suscité des tentatives pour repenser le matérialisme. Elles s’articulent autour de la recherche d’un matérialisme capable de rendre compte des rapports symbiotiques entre les objets matériels et leurs idéalisations. Les courants récents du tournant matériel, le réalisme agentiel de Barad par exemple, pourraient être lus comme une réponse à ce défi. Pourtant, l’absence notable de (...) Marx dans ces théories crée un angle mort considérable. L’idéel (1962) du philosophe soviétique Evald Ilyenkov offre une perspective dialectique de ces problèmes en revenant à l’interprétation de Marx de ce concept en tant que forme de pratique sociale. En soulignant l’objectivité des formes idéelles contre leurs notions individualistes comme projections mentales, ou positivistes qui les réduisent à la structure neuronale du cerveau, Ilyenkov pose la nature irréductiblement sociale de la connaissance. Par une analyse des perceptions sensorielles, qui sont comprises comme possédant une histoire sociale, Ilyenkov ouvre la question de la convergence des paramètres idéels et matériels dans une société communiste. Le programme politique qui sous-tend son projet pourrait être défini comme une lutte pour des formes culturelles qui ne s’opposent pas au sujet comme étranger et hostile, mais devient sa fonction directe. (shrink)