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)

Idealization is commonly understood as distortion: representing things differently than how they actually are. In this paper, we outline an alternative artifactual approach that does not make misrepresentation central for the analysis of idealization. We examine the contrast between the Hodgkin-Huxley (1952a, b, c) and the Heimburg-Jackson (2005, 2006) models of the nerve impulse from the artifactual perspective, and argue that, since the two models draw upon different epistemic resources and research programs, it is often difficult to tell (...) which features of a system the central assumptions involved are supposed to distort. Many idealizations are holistic in nature. They cannot be locally undone without dismantling the model, as they occupy a central position in the entire research program. Nor is their holistic character mainly related to the use of mathematical and statistical modeling techniques as portrayed by Rice (2018, 2019). We suggest that holistic idealizations are implicit theoretical and representational assumptions that can only be understood in relation to the conceptual and representational tools exploited in modeling and experimental practices. Such holistic idealizations play a pivotal role not just in individual models, but also in defining research programs. -/- . (shrink)

This article reviews the recent literature on idealization, specifically idealization in the course of scientific modeling. We argue that idealization is not a unified concept and that there are three different types of idealization: Galilean, minimalist, and multiple models, each with its own justification. We explore the extent to which idealization is a permanent feature of scientific representation and discuss its implications for debates about scientific realism.

Scientific models typically contain idealizations, or assumptions that are known not to be true. Philosophers have long questioned the nature of idealizations: Are they heuristic tools that will be abandoned? Or rather fictional representations of reality? And how can we reconcile them with realism about knowledge of nature? Immanuel Kant developed an account of scientific investigation that can inspire a new approach to the contemporary debate. Kant argued that scientific investigation is possible only if guided by ideal assumptions—what he calls (...) “regulative ideas”. These ideas are not true of objects of nature, and yet they are not heuristic tools or fictional represen- tations. They are necessary rules governing the construction and assessment of scientific explanations. In this paper, I suggest that some idealizations can be interpreted as having necessary regulative value and as being compatible with scientific realism. I first analyze the puzzle of the nature of idealization and present the main approaches to this topic in the literature. Second, I reconsider the puzzle vis-a-vis a restricted, Kantian definition of idealization and a novel characterization of the relation between idealization and truth. Finally, I discuss in detail an example of idealization (the Hardy-Weinberg equilibrium) along the suggested Kantian lines. (shrink)

The notion of idealization has received considerable attention in contemporary philosophy of science but less in philosophy of mathematics. An exception was the ‘critical idealism’ of the neo-Kantian philosopher Ernst Cassirer. According to Cassirer the methodology of idealization plays a central role for mathematics and empirical science. In this paper it is argued that Cassirer's contributions in this area still deserve to be taken into account in the current debates in philosophy of mathematics. For extremely useful criticisms on (...) earlier versions I am grateful to B.P. Larvor and another anonymous journal referee. CiteULike Connotea Del.icio.us What's this? (shrink)

Challenges the widely held view that good models must necessarily be simplifications and hence cannot be true. This is done by distinguishing between whole truth (complete description) and truth (essential description, attained by the method of isolation).

Traditional theories construe approximate truth or truthlikeness as a measure of closeness to facts, singular facts, and idealization as an act of either assuming zero of otherwise very small differences from facts or imagining ideal conditions under which scientific laws are either approximately true or will be so when the conditions are relaxed. I first explain the serious but not insurmountable difficulties for the theories of approximation, and then argue that more serious and perhaps insurmountable difficulties for the theory (...) of idealization force us to sever its close tie to approximation. This leads to an appreciation of lawlikeness as a measure of closeness to laws, which I argue is the real measure of idealization whose main purpose is to carve nature at its joints. (shrink)

Robert Batterman and others have argued that certain idealizing explanations have an asymptotic form: they account for a state of affairs or behavior by showing that it emerges “in the limit”. Asymptotic idealizations are interesting in many ways, but is there anything special about them as idealizations? To understand their role in science, must we augment our philosophical theories of idealization? This paper uses simple examples of asymptotic idealization in population genetics to argue for an affirmative answer and (...) proposes a general schema for asymptotic idealization, drawing on insights from Batterman’s treatment and from John Norton’s subsequent critique. (shrink)

In a recent issue of The Monist, Alisa Bokulich argues that those who embrace an ontic conception of scientific explanation are committed to rejecting an explanatory role for idealized, i.e., deliberately false, models. Her argument is based on an inaccurate characterization of the ontic view. Indeed, her positive view of idealization embraces rather than opposes the ontic conception. Because Bokulich is not alone in this misunderstanding, an effort to diagnose and correct it might prevent scholars from talking past one (...) another and, hopefully, nudge future discussions down more inviting paths. (shrink)

Explainable AI (xAI) methods are important for establishing trust in using black-box models. However, recent criticism has mounted against current xAI methods that they disagree, are necessarily false, and can be manipulated, which has started to undermine the deployment of black-box models. Rudin (2019) goes so far as to say that we should stop using black-box models altogether in high-stakes cases because xAI explanations ‘must be wrong’. However, strict fidelity to the truth is historically not a desideratum in science. Idealizations (...) – the intentional distortions introduced to scientific theories and models – are commonplace in the natural sciences and are seen as a successful scientific tool. Thus, it is not falsehood qua falsehood that is the issue. In this paper, I outline the need for xAI research to engage in idealization evaluation. Drawing on the use of idealizations in the natural sciences and philosophy of science, I introduce a novel framework for evaluating whether xAI methods engage in successful idealizations or deceptive explanations (SIDEs). SIDEs evaluates whether the limitations of xAI methods, and the distortions that they introduce, can be part of a successful idealization or are indeed deceptive distortions as critics suggest. I discuss the role that existing research can play in idealization evaluation and where innovation is necessary. Through a qualitative analysis we find that leading feature importance methods and counterfactual explanations are subject to idealization failure and suggest remedies for ameliorating idealization failure. (shrink)

Conceptions of acceptability-based moral or political justification take it that authoritative acceptability constitutes, or contributes to, validity, or justification. There is no agreement as to what bar for authoritativeness such justification may employ. The paper engages the issue in relation to (i) the level of idealization that a bar for authoritativeness, ψ, imparts to a standard of acceptability-based justification, S, and (ii) the degree of discursive purchase of the discursive standing that S accords to people when it builds ψ. (...) I argue that (i) and (ii) are interdependent: high idealization values entail low discursive purchase, while high degrees of purchase require low idealization values. I then distinguish between alethic conceptions of justification that prioritize ends that commit to high idealization values, and recognitive conceptions that favour high discursive purchase. On this basis, I argue for a moderately recognitivist constraint on idealization. To render the recognitive discursive minimum available to relevant people at the site of justification, S should set ψ low enough so that it is a genuine option for actual people to reject relevant views in ways that S recognizes as authoritative. (shrink)

Contents: Preface. - Introduction. - Science as a caricature of reality. - Three methodological revolutions. - The method of idealization. - Explanations and applications. - Truth and idealization. - A generalization of idealization. - References.

Natalia Carrillo and Tarja Knuuttila claim that there are two traditions of thinking about idealization offering almost opposite views on their functioning and epistemic status. While one tradition views idealizations as epistemic deficiencies, the other one highlights the epistemic benefits of idealization. Both of them treat idealizations as deliberate misrepresentations, however. They then argue for an artifactual account of idealization, comparing it to the traditional accounts of idealization, and exemplifying it through the Hodgkin and Huxley model (...) of the nerve impulse. From the artifactual perspective, the epistemic benefits and deficiencies introduced by idealization frequently come in a package due to the way idealization draws together different resources in model construction. Accordingly, idealization tends to be holistic in that it is not often easily attributable to some specific parts of the model. They conclude that the artifactual approach offers a unifying view into idealization in that it is able to recover several basic philosophical insights motivating both the deficiency and epistemic benefit accounts, while being simultaneously detached from the idea of distortion by misrepresentation. (shrink)

Charles Mills has argued against ideal theory in political philosophy on the basis that it contains idealizations. He calls for political philosophers to do more nonideal theory, namely political theory that pays more attention to the most visible oppressions in society, such as those based on race, gender, and class. Mills's argument relies on a distinction between idealization and abstraction. Idealizations involve adding false assumptions to one's model, which is unacceptable, whereas abstractions merely leave out details without undermining descriptive (...) power. By studying formal models of injustice, I argue that the idealization/abstraction distinction is unhelpful. Either the distinction exists only relative to one's modeling purposes, or all models in political theory contain idealizations. Either way, the distinction does not help Mills's cause. Furthermore, there are arguments from philosophy of science for the epistemic benefits of idealizations. However, Mills's call for greater emphasis on the most visible mechanisms of oppression can be supported without relying on an idealization/abstraction distinction. I provide three alternative reasons for why we should prefer political theories that place more emphasis on race-, class-, and gender-based oppression. (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)

The paper is a voice in discussion over Giacomo Borbone’s book The Relevance of Models. Idealization and Concretization in Leszek Nowak. The author characterizes intellectual tradition of Poznań School of Methodology and considers types of interpretation of Marx’s writing adopted by Nowak and his collaborators. According to him idealization theory of sciences resulted from two kinds of interpretations: adaptive and historical ones.

Idealization is a central feature of human thought. We build ideal models in the sciences, our politics is guided by pictures of impossible utopias, and our thinking about the arts and moral life is guided by images of how things might have been. In all these cases we sometimes proceed with a representation of the world that we know is not true or aim at a world we accept we cannot realize. This is the world of the "as if," (...) which the philosopher Hans Vaihinger delineated at the turn of the century, in ways he traced back to Kant. In this book, I aim to explore idealization in aesthetics, ethics, and metaphysics, as well as in the philosophy of mind, of language, of religion, and of the social and natural sciences. No one could be an expert on all of these things, but sometimes in philosophy it helps to stand back and take a broader view. On the way I hope to illuminate many issues, large and small, but there is one over-arching lesson: our best chance of understanding the world must be to have a plurality of ways of thinking about it. This book is about why we need a multitude of pictures of the world. It is a gentle jeremiad against theoretical monism. (shrink)

Abstraction and idealization are the two notions that are most often discussed in the context of assumptions employed in the process of model building. These notions are also routinely used in philosophical debates such as that on the mechanistic account of explanation. Indeed, an objection to the mechanistic account has recently been formulated precisely on these grounds: mechanists cannot account for the common practice of idealizing difference-making factors in models in molecular biology. In this paper I revisit the debate (...) and I argue that the objection does not stand up to scrutiny. This is because it is riddled with a number of conceptual inconsistencies. By attempting to resolve the tensions, I also draw several general lessons regarding the difficulties of applying abstraction and idealization in scientific practice. Finally, I argue that more care is needed only when speaking of abstraction and idealization in a context in which these concepts play an important role in an argument, such as that on mechanistic explanation. (shrink)

This paper explores one way in which the meta-problem may shed light on existing debates about the hard problem (though not directly on the hard problem itself). I'll argue that the possibility of a suitable agent without problem intuitions would undercut the dialectical force of arguments against physicalism. Standard antiphysicalist arguments begin from intuitions about what's ideally conceivable, and argue from there to the falsity of physicalism. For these arguments to be dialectically effective, there must be a shared conception of (...) what ideal conceivability consists in. Unfortunately, proposed accounts of ideal conceivability all make reference to an unexplained 'intuitive' notion of idealization. Consideration of the meta-problem reveals that, when it comes to the hard problem, intuitions about idealization are essentially theory-laden. There is no neutral basis for determining whether agents with or without problem intuitions are more rationally ideal. (shrink)

There are two familiar and important challenges to the rule consequentialist picture, Smart’s “rule worship objection” and the “idealization objection.” This chapter defends rule consequentialism (RC) against these challenges. It argues that to satisfactorily meet the rule worship objection, we need to reconceptualize RC. We need to think of it as not fundamentally a rival to act consequentialism or deontology or virtue theory. Instead, it can potentially adjudicate among these views. It is best viewed as a “second-order” theory that (...) rests on a view about the nature and point of morality. The rule worship objection can be answered if we interpret RC in this way. The idealization objection can seem more difficult because it appears to arise from the basic RC approach to evaluating rules. This chapter suggests, however, that the idealization objection boils down to a familiar problem about conflicts of _pro tanto_ duties. RC can handle it in the way that it handles such conflict. (shrink)

Philosophers of science increasingly recognize the importance of idealization: the intentional introduction of distortion into scientific theories. Yet this recognition has not yielded consensus about the nature of idealization. e literature of the past thirty years contains disparate characterizations and justifications, but little evidence of convergence towards a common position.

A central goal of the scientific endeavor is to explain phenomena. Scientists often attempt to explain a phenomenon by way of representing it in some manner—such as with mathematical equations, models, or theory—which allows for an explanation of the phenomenon under investigation. However, in developing scientific representations, scientists typically deploy simplifications and idealizations. As a result, scientific representations provide only partial, and often distorted, accounts of the phenomenon in question. Philosophers of science have analyzed the nature and function of how (...) scientists construct representations, deploy idealizations, and provide explanations. As such, our aim in this special issue is to bring these three pillars of research into closer contact with the contributions to it focusing on three main themes. -/- The first set of papers, Alan Baker (2021) and Marc Lange (2021), address mathematical explanations in science. Baker (2021), a proponent of mathematical Platonism, examines its capacity to evade the critique that the so-called Enhanced Indispensability Argument is circular. Lange (2021) examines distinctively mathematical explanations, arguing that neither Platonism nor representationalism are successful paths, and instead argues in favor of Aristotelian realism. A second theme emerging from the papers in this special issue is the impact that various conceptualizations of idealization have on our abilities to offer scientific explanations, to pro- duce an analysis of what explanations are or should be, and to understand scientific representation. Peter Tan (2021) suggests amending inferentialist accounts of scientific representation to account for inconsistent idealizations. Michael Strevens (2021) advocates a view wherein the introduction of idealizations into a model is legitimate so long as it pertains to non-difference-making factors, arguing for a logical reading of the notion of difference-making. Natalia Carrillo and Tarja Knuuttila (2022) offer an alternative account to the idealization-as-distortion view, emphasizing instead the holistic nature of idealization. -/- Finally, contributions by Carrillo and Knuuttila (2022), Terzian (2021), Valente (2021), and Rodriguez (2021) illustrate how issues regarding idealization, representation, and explanation are applied to specific contexts and across various sciences. Carrillo and Knuuttila (2022) examine conceptions of idealization in the context of models of the nerve impulse. Giulia Terzian (2021) extends the discussion of idealizations to the context of generative linguistics. Giovanni Valente (2021) examines how idealizations and evaluations of accurate representation impact capacities to explain phenomena in the context of statistical thermodynamics. Quentin Rodriguez (2021) examines the role of idealizations and analogies in various strategies to explain critical phenomena. -/- In what follows, we offer a brief overview of important philosophical issues connected to representation, idealization, and explanation in science. We then provide short summaries of the eight papers in this special issue. (shrink)

Although Burke, Bentham, Hegel and Marx do not often agree, all criticized certain ethical theories, in particular theories of rights, for being too abstract. The complaint is still popular. It was common in Existentialist and in Wittgensteinian writing that stressed the importance of cases and examples rather than principles for the moral life; it has been prominent in recent Hegelian and Aristotelian flavoured writing, which stresses the importance of the virtues; it is reiterated in discussions that stress the distinctiveness and (...) particularity of moral vicissitudes and query the importance of ethical theory. Recent critics of abstraction are opposed not only to theories of rights, and the Kantian notions with which these are linked, but also to consequentialist ethical theories. The two ethical theories that are most influential in the English-speaking world now both stand accused of being too abstract. (shrink)

In a recent revision (chapter 4 of Nowakowa and Nowak 2000) of an older article Leszek Nowak (1992) has attempted to rebut Niiniluoto’s 1990 critical suggestion that proponents of the Poznań idealizational approach to the sciences have committed a rather elementary logical error in the formal machinery that they advocate for use in the analysis of scientific methodology. In this paper I criticize Nowak’s responses to Niiniluoto’s suggestion, and, subsequently, work out some of the consequences of that criticism for understanding (...) the role that idealization plays in scientific methodology. (shrink)

The problem with idealization is not just that, when idealizing, scientists ask us to suppose false things. Many people do that. No, the puzzling thing about idealizers—unlike astrologers, spodomancers, and homeopaths—is that it is worth listening to them. Supposing that populations of rabbits are in- finite is useful for a variety of ecological explanations. Yet we are not up to our necks in rabbits; the puzzle is why it should be useful to suppose that we are.

Are societies required to pursue continual economic growth as a matter of justice? In “The Value of Economic Growth”, Julie Rose considers three arguments in favor of the need for continual economic growth, each of which revolves around the instrumental value of economic growth for promoting an important good that is needed for a just society. In each case, Rose argues that there are mechanisms other than economic growth that could allow a society to deliver the relevant goods, and thus (...) meet the demands of justice with respect to those goods. I raise a set of issues for Rose’s argument that put pressure on the normative significance of her discussion. At the heart of these issues are ones about which possibilities Rose considers and which idealizations she makes. These issues tie into more general questions about the aims and methodology of normative work in social/political philosophy. Thus, in addition to being a contribution to the debate over the politics of economic growth, this paper can be understood partly as a case study in how reflection on these kinds of issues – ones about modality, idealization, and methodology – can matter to how we evaluate specific arguments in social/political philosophy. (shrink)

This paper defends the viability of de-idealization strategies in economic modeling against recent criticism. De-idealization occurs when an idealized assumption of a theoretical model is replaced with a more realistic one. Recently, some scholars have raised objections against the possibility or fruitfulness of de-idealizing economic models, suggesting that economists do not employ this kind of strategy. We present a detailed case study from the theory of industrial organization, discussing three different models, two of which can be construed as (...) de-idealized versions of the first. We conclude that recent pessimism about de-idealization in economics is largely unfounded, and that de-idealization strategies are not only possible but also widely employed in economics. (shrink)

When Sadi Carnot carried out the pioneering work on heat engines which led to the second law of thermodynamics, he contemplated an ideal heat engine, one that was completely reversible. Carnot's use of idealization was particularly successful ‐ while the ideal engine cannot actually be constructed, the conclusions he derived for the ideal engine hold a fortiori for actual heat engines. For example, the greater the temperature difference between the two heat reservoirs, the higher the engine's efficiency. But this (...) is not always the case. What holds true in the ideal limit may be false in reality. Nevertheless, the ideal case, simple and tractable, can be expected to shed light on actual cases, the precise treatment of which is impossible or impractical. Idealizations abound in science: ideal gases, closed systems, perfectly rational agents, and evolutionarily stable strategies. Indeed, thinkers as diverse in their outlook as Edmund Husserl and Albert Einstein have pointed to idealizations as the hallmark of modern science. (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)

In lieu of an abstract, here is a brief excerpt of the content:The Idealization of Contingency in Traditional Japanese AestheticsRobert Wicks (bio)In many popular writings that date from the initial decades of the twentieth century, and also in recent scholarly studies, "Japanese aesthetics"—insofar as we can speak sweepingly of a complicated, multidimensional, and dynamic historical phenomenon—is characterized with a set of adjectives whose present linguistic entrenchment is clearly evident. Specifically we read that traditional Japanese aesthetics is an aesthetics of (...) imperfection, insufficiency, incompleteness, asymmetry, and irregularity, not to mention perishability, suggestiveness, and simplicity.1 Given this collection of qualities, we are presented with a matching set of paradigmatic Japanese aesthetic experiences and objects, both as illustrations and as legitimations of this close-to-standard portrait. Examples include the suggestive moon covered by drifting clouds, the irregularly formed ceramics of ceremonial teacups, the simple and asymmetrical arrangement of unpolished rocks in the dry landscape garden, the bold and dashing monochromatic strokes typical of Zen calligraphy, transient cherry blossoms, serene and cloud-capped mountain summits, lonely thatched huts, sunsets in the foggy twilight, the call of a crane that breaks through the silence, and the light autumn rain that drizzles upon a secluded pond.Upon further reflection, it becomes noticeable that some familiar Japanese aesthetic objects do not easily conform to this standard picture, and this raises doubts about the typical characterization of Japanese aesthetics. The quintessentially Japanese shōji screens and tatami mats, for instance, are uniformly rectangular rather than irregular in form. They are, moreover, neither asymmetrical, nor imperfect, nor incomplete, nor insufficient. How then, can these perfectly regular screens and mats—items crucial to the aesthetics of Japanese domestic architecture—fit neatly into the usually encountered portrait of traditional Japanese aesthetics, if it is said to be fundamentally "the worship of imperfection"?2 Or similarly if "imperfection" is [End Page 88] the keynote of this aesthetics, how does one explain the meticulously raked surfaces of the dry landscape garden or the impeccably perfected movements requisite for performing the Japanese tea ceremony?3Since such examples do not obviously fit into an "aesthetics of imperfection and insufficiency," some reconsideration of the prevailing characterization of Japanese aesthetics is needed to accommodate these, along with other examples of "perfected" items and arrangements. In short, the main difficulty is that the concept of "perfection" has been underthematized.4 To develop a revaluation of the presently submerged status of "perfection" in most scholarly discussions of Japanese aesthetics, I will highlight the familiar principle of aesthetic complementarity but contextualize the experiential foundations of this principle in a specifically Japanese-philosophic manner, namely, in reference to a fundamental feature of time-consciousness, as described by Dōgen (1200-53). This historical grounding will align the principle of complementarity with some of the acknowledged Zen Buddhist sources of traditional Japanese aesthetics.5 The upshot will be that the above-cited collection of adjectives typically used to describe the prevailing atmosphere of Japanese aesthetics—imperfection, asymmetry, incompleteness, suggestibility, etc.—presents only half of the aesthetic and philosophic story and, moreover, tends to pass over what can be appreciated as a more consequential underlying concept, namely, the idea of "contingency."In what follows, basic reflections on the phenomenology of time-consciousness will lead to the claim that, in many paradigmatic instances of traditional Japanese aesthetics, we have before us a situation that is aptly describable as "the idealization of contingency." This involves the assertion of a philosophic proposition through an aesthetic presentation (i.e., the proposition is expressed using metaphor, symbolism, or analogy). In the case of traditional Japanese aesthetics, the main proposition is the Buddhist-associated one that the foundation of things is contingent, conditional, and nonabsolute (i.e., there are no absolute foundations). The aesthetic presentation of this proposition will, as we shall see, make ample room for "perfection" in understanding Japanese aesthetics: By means of juxtaposing contingent, perishable individuals (which usually have an "imperfect" appearance) against a perfected, polished, and idealized background, the contingency of the individuals is thereby aesthetically highlighted and made more readily appreciable.The resulting criticism of the standard characterization is thus a simple one: The typical group of concepts used to describe traditional Japanese aesthetics has neglected to give due... (shrink)

Questions concerning the epistemological status of computer science are, in this paper, answered from the point of view of the formal verification framework. State space reduction techniques adopted to simplify computational models in model checking are analysed in terms of Aristotelian abstractions and Galilean idealizations characterizing the inquiry of empirical systems. Methodological considerations drawn here are employed to argue in favour of the scientific understanding of computer science as a discipline. Specifically, reduced models gained by Dataion are acknowledged as Aristotelian (...) abstractions that include only data which are sufficient to examine the interested executions. The present study highlights how the need to maximize incompatible properties is at the basis of both Abstraction Refinement, the process of generating a cascade of computational models to achieve a balance between simplicity and informativeness, and the Multiple Model Idealization approach in biology. Finally, fairness constraints, imposed to computational models to allow fair behaviours only, are defined as ceteris paribus conditions under which temporal formulas, formalizing software requirements, acquire the status of law-like statements about the software systems executions. (shrink)

While Maimonides reread his sources to reconcile biblical and rabbinic texts with the demands of reason, Hermann Cohen, in his construction of a “religion of reason,” rereads Maimonides' rereadings of those very same texts. Maimonides' Judaism often bridges the sources toward Cohen's religion of reason by providing a philological anchor that nudges a term or verse now viewed through a more modern historical and evolutionary lens toward its ultimate reason-infused meaning. This paper will explore a hitherto neglected feature of their (...) oeuvres that unites Maimonides and Cohen as much as it distinguishes them: the “Jewishness” shared by both, as evident in the most Jewish of all exercises that suffuses both their works, biblical and midrashic exegesis. Their exegetical nets are systematically cast widely throughout the breadth of the Hebrew Bible, but more often than not they offer highly discrepant readings of the same passage or prooftext. Cohen's referencing of many of the same sources appeals to their Maimonidean rationalist refurbishment, but at the same time often places them in combative discourse in order to subvert and reorient Maimonides' exegesis. The notions of divine names, the “image” ( tselem ) of God, “nearness” to God, and divine “glory” ( kavod ) are closely examined to demonstrate this intertextual relationship between these two seminal Jewish thinkers. While Cohen may be misreading Maimonides' rereading of scripture, he remains a true hermeneutical disciple in his exegetical restructuring and realignment of scripture. Cohen's programmatic exegetical idealization of Maimonidean prooftexts to reconstruct a new Kantianized God forms a common ground of discourse with Maimonides that traverses seven centuries of a quintessential Jewish enterprise. (shrink)

In the philosophy of science, increasing attention has been given to the methodological novelties associated with the study of complex systems. However, there is little agreement on exactly what complex systems are. Although many characterizations of complex systems are available, they tend to be either impressionistic or overly formal. Formal definitions rely primarily on ideas from the study of computational complexity, but the relation between these formal ideas and the messy world of empirical phenomena is unclear. Here, I give a (...) definition of complex systems that draws on algorithmic complexity theory, but also provides a way of interpreting the formal idea in an empirical setting. I then use the definition to show that two canonical forms of scientific idealization are empirically inadequate when applied to complex systems. The inadequacy of these forms of idealization is shown to be the primary reason that complex systems require novel methods. Moreover, this demand for novel methods helps explain the rise of complex systems science as an autonomous discipline. (shrink)

Kripke (Wittgenstein on rules and private language: an elementary exposition. Harvard University Press, Cambridge Mass, 1982 ) rejected a naturalistic dispositional account of meaning (hereafter semantic dispositionalism) in a skeptical argument about rule-following he attributes to Wittgenstein (Philosophical investigation. Basil Blackwell, Oxford, 1958 ). Most philosophers who oppose Kripke’s criticisms of semantic dispositionalism take the stance that the argument proves too much: semantic dispositionalism is similar to much of our respected science in some important aspects, and hence to discard the (...) former would mean to give up the latter, which is obviously wrong. In this paper, I shall discuss and reject a recent defense of Kripke by Kusch (Analysis 65(2):156–163 2005 ; Sceptical guide to meaning and rules: defending Kripke’s Wittgenstein. McGill-Queen’s, London, 2006 ). Kusch attempts to show that semantic dispositionalism differs from the sciences, and consequently, Kripke’s attack can only target semantic dispositionalism, but not the sciences. Specifically, Kusch identifies some important features of the sciences with regard to how it employs idealization and ceteris paribus clauses, and argues that the ways in which semantic dispositionalism uses them are dramatically different. I argue that, upon close examination, the two are more similar than otherwise in each of those features. (shrink)