Philosophers of science have offered different accounts of what it means for one scientific theory to reduce to another. I propose a more or less friendly amendment to Kenneth Schaffner’s “General Reduction-Replacement” model of scientific unification. Schaffner interprets scientific unification broadly in terms of a continuum from theory reduction to theory replacement. As such, his account leaves no place on its continuum for type irreducible and irreplaceable theories. The same is true for other accounts that incorporate Schaffner's continuum, (...) for example, those developed by Paul Churchland, Clifford Hooker, and John Bickle. Yet I believe a more general account of scientific unification should include type irreducible and irreplaceable theories in an account of their partial reduction, specifically, when there is a reduction of their tokens. Thus I propose a “Reduction-Reception-Replacement” model wherein type irreducible and irreplaceable theories are accepted or received for the purpose of unifying domains of particulars. I also suggest a link between this kind of token reduction and mechanistic explanation. (shrink)

Relationships between current theories, and relationships between current theories and the sought theory of quantum gravity (QG), play an essential role in motivating the need for QG, aiding the search for QG, and defining what would count as QG. Correspondence is the broad class of inter-theory relationships intended to demonstrate the necessary compatibility of two theories whose domains of validity overlap, in the overlap regions. The variety of roles that correspondence plays in the search for QG are illustrated, using examples (...) from specific QG approaches. Reduction is argued to be a special case of correspondence, and to form part of the definition of QG. Finally, the appropriate account of emergence in the context of QG is presented, and compared to conceptions of emergence in the broader philosophy literature. It is argued that, while emergence is likely to hold between QG and general relativity, emergence is not part of the definition of QG, and nor can it serve usefully in the development and justification of the new theory. (shrink)

Philosophers of science since Nagel have been interested in the links between intertheoretic reduction and explanation, understanding and other forms of epistemic progress. Although intertheoretic reduction is widely agreed to occur in pure mathematics as well as empirical science, the relationship between reduction and explanation in the mathematical setting has rarely been investigated in a similarly serious way. This paper examines an important particular case: the reduction of arithmetic to set theory. I claim that the (...) class='Hi'>reduction is unexplanatory. In defense of this claim, I offer evidence from mathematical practice, and I respond to contrary suggestions due to Steinhart, Maddy, Kitcher and Quine. I then show how, even if set-theoretic reductions are generally not explanatory, set theory can nevertheless serve as a legitimate foundation for mathematics. Finally, some implications of my thesis for philosophy of mathematics and philosophy of science are discussed. In particular, I suggest that some reductions in mathematics are probably explanatory, and I propose that differing standards of theory acceptance might account for the apparent lack of unexplanatory reductions in the empirical sciences. (shrink)

In Phenomenological Reduction in Heidegger's Sein und Zeit: a New Proposal, Matheson Russell investigates the indebtedness of the Heidegger of Being and Time to Husserl's transcendental phenomenology by way of distinguishing in it differing types of transcendental reduction. He supplies an overview of recent attempts to identify such reductions in order then to propose a new interpretation locating two levels of reduction in Heidegger's fundamental ontology. These concern, first, an enquiry going back to the horizon of 'existence', (...) and, second, one going back to the horizon of 'temporality'. While the first level is argued to be explicit in the published text, the second, Russell claims, lies within the horizon of the unfinished parts of Being and Time. (shrink)

Determinism is established in quantum mechanics by tracing the probabilities in the Born rules back to the absolute (overall) phase constants of the wave functions and recognizing these phase constants as pseudorandom numbers. The reduction process (collapse) is independent of measurement. It occurs when two wavepackets overlap in ordinary space and satisfy a certain criterion, which depends on the phase constants of both wavepackets. Reduction means contraction of the wavepackets to the place of overlap. The measurement apparatus fans (...) out the incoming wavepacket into spatially separated eigenpackets of the chosen observable. When one of these eigenpackets together with a wavepacket located in the apparatus satisfy the criterion, the reduction associates the place of contraction with an eigenvalue of the observable. The theory is nonlocal and contextual. Keywords:. (shrink)

The numerous and diverse roles of theory reduction in science have been insufficiently explored in the philosophy literature on reduction. Part of the reason for this has been a lack of attention paid to reduction2 (successional reduction)---although I here argue that this sense of reduction is closer to reduction1 (explanatory reduction) than is commonly recognised, and I use an account of reduction that is neutral between the two. This paper draws attention to the utility---and (...) incredible versatility---of theory reduction. A non-exhaustive list of various applications of reduction in science is presented, some of which are drawn from a particular case-study, being the current search for a new theory of fundamental physics. This case-study is especially interesting because it employs both senses of reduction at once, and because of the huge weight being put on reduction by the different research groups involved; additionally, it presents some unique uses for reduction---revealing, I argue, the fact that reduction can be of specialised and unexpected service in particular scientific cases. The paper makes two other general findings: that the functions of reduction that are typically assumed to characterise the different forms of the relation may instead be understood as secondary consequences of some other roles; and that most of the roles that reduction plays in science can actually also be fulfilled by a weaker relation than (the typical understanding of) reduction. (shrink)

Approaches to the naturalization of phenomenology usually understand naturalization as a matter of rendering continuous the methods, epistemologies, and ontologies of phenomenological and natural scientific inquiry. Presupposed in this statement of the problematic, however, is that there is an original discontinuity, a rupture between phenomenology and the natural sciences that must be remedied. I propose that this way of thinking about the issue is rooted in a simplistic understanding of the phenomenological reduction that entails certain assumptions about the subject (...) matter of phenomenology and its relationship to the natural sciences. By contrast, Merleau‐Ponty's first work, The Structure of Behavior, presents a radically different approach to the phenomenological reduction, one that traverses the natural sciences and integrates them into phenomenology from the outset. I outline the argument for this position in The Structure of Behavior and then discuss consequences for current methodological issues surrounding the naturalization of phenomenology, focusing on the relationship between empirical sciences of mind, phenomenological psychology, and transcendental phenomenology. This novel exegesis of Merleau‐Ponty's view on the reduction offers new insight into his oft‐quoted remark that the phenomenological reduction is impossible to complete. (shrink)

Reduction and reductionism have been central philosophical topics in analytic philosophy of science for more than six decades. Together they encompass a diversity of issues from metaphysics and epistemology. This article provides an introduction to the topic that illuminates how contemporary epistemological discussions took their shape historically and limns the contours of concrete cases of reduction in specific natural sciences. The unity of science and the impulse to accomplish compositional reduction in accord with a layer-cake vision of (...) the sciences, the seminal contributions of Ernest Nagel on theory reduction and how they strongly conditioned subsequent philosophical discussions, and the detailed issues pertaining to different accounts of reduction that arise in both physical and biological science (e.g., limit-case and part-whole reduction in physics, the difference-making principle in genetics, and mechanisms in molecular biology) are explored. The conclusion argues that the epistemological heterogeneity and patchwork organization of the natural sciences encourages a pluralist stance about reduction. (shrink)

Background: how mind functions is subject to continuing scientific discussion. A simplistic approach says that, since no convincing way has been found to model subjective experience, mind cannot exist. A second holds that, since mind cannot be described by classical physics, it must be described by quantum physics. Another perspective concerns mind's hypothesized ability to interact with the world of quanta: it should be responsible for reduction of quantum wave packets; physics producing 'Objective Reduction' is postulated to form (...) the basis for mind-matter interactions. This presentation describes results derived from a new approach to these problems. It is based on well-established biology involving physics not previously applied to the fields of mind, or consciousness studies, that of critical feedback instability. -/- Methods: 'self-organized criticality' in complexity biology places system loci of control at critical instabilities, physical properties of which, including information properties, are presented. Their elucidation shows that they can model hitherto unexplained properties of experience. -/- Results: All results depend on physical properties of critical instabilities. First, at least one feed-back or feed-forward loop must have feedback gain, g = 1: information flows round the loop impress perfect images of system states back on themselves: they represent processes of perfect self-observation. This annihilates system quanta: system excitations are instability fluctuations, which cannot be quantized. Major results follow: -/- 1. Information vectors representing criticality states must include at least one attached information loop denoting self-observation. -/- 2. Such loop structures are attributed a function, 'registering the state's own existence', explaining -/- a. Subjective 'awareness of one's own presence' -/- b. How content-free states of awareness can be remembered (Jon Shear) -/- c. Subjective experience of time duration (Immanuel Kant) -/- d. The 'witness' property of experience – often mentioned by athletes 'in the zone' -/- e. The natural association between consciousness and intelligence -/- This novel, physically and biologically sound approach seems to satisfactorily model subjectivity. -/- Further significant results follow: -/- 1. Registration of external information in excited states of systems at criticality reduces external wave-packets: the new model exhibits 'Objective Reduction' of wave packets. -/- 2. High internal coherence (postulated by Domash & Penrose) leading to a. Non-separable information vector bundles. b. Non-reductive states (Chalmers's criterion for experience). -/- 3. Information that is: a. encoded in coherence negentropy; b. non-digitizable, and therefore c. computationally without digital equivalent (posited by Penrose). -/- Discussion and Conclusions: instability physics implies anharmonic motion, preventing excitation quantization, and totally different from the quantum physics of simple harmonic motion at stability. Instability excitations are different from anything hitherto conceived in information science. They can model aspects of mind never previously treated, including genuine subjectivity, objective reduction of wave-packets, and inter alia all properties given above. (shrink)

So far, the value dimension underlying affectivity disorders has remained out of focus in phenomenological psychopathology. As early as at the beginning of the 20th century, however, German phenomenologist Max Scheler examined in depth the relationship between affectivity and value dimension through the concept of valueception (Wertnehmung). In this sense, a recent noteworthy contribution has been provided by John Cutting, who has drawn attention to the importance of Scheler’s analyses for psychiatry. In this work I take into consideration only two (...) aspects of Cutting’s proposal: 1) the relationship between the impairments of valueception and the perception of certain value classes; and 2) the interpretation of Scheler’s phenomenological reduction and its juxtaposition with the modus vivendi of schizophrenia. According to Cutting, in the modus vivendi of schizophrenia the valueception impairment entails putting vital values in brackets and focusing on personal values, with a process that recalls Scheler’s phenomenological reduction. Regarding the first aspect, I share Cutting’s starting point, but then shift the focus on how important the valueception is for the intersubjective dimension. In particular, I maintain that rather than compromising the perception of vital values, valueception impairments in the modus vivendi of schizophrenia interfere with the intersubjective dimension and are interwoven with a process of disembodiment. My thesis is that the modus vivendi of schizophrenia involves a disturbance of the intersubjective dimension that arises from the level of valueception and that determines the person’s self-referential closure. With regard to the second point, by analyzing Scheler’s phenomenological reduction, I sustain that its main objective is to increase both the interaction with otherness and the openness to the world (Weltoffenheit). As a consequence, the modus vivendi of schizophrenia, in my opinion, is not comparable, as Cutting claims, with Scheler’s phenomenological reduction, but goes in a different direction. (shrink)

In this paper I argue that it is finally time to move beyond the Nagelian framework and to break new ground in thinking about epistemic reduction in biology. I will do so, not by simply repeating all the old objections that have been raised against Ernest Nagel’s classical model of theory reduction. Rather, I grant that a proponent of Nagel’s approach can handle several of these problems but that, nevertheless, Nagel’s general way of thinking about epistemic reduction (...) in terms of theories and their logical relations is entirely inadequate with respect to what is going on in actual biological research practice. (shrink)

I critically evaluate Bickle’s version of scientific theory reduction. I press three main points. First, a small point, Bickle modifies the new wave account of reduction developed by Paul Churchland and Clifford Hooker by treating theories as set-theoretic structures. But that structuralist gloss seems to lose what was distinctive about the Churchland-Hooker account, namely, that a corrected theory must be specified entirely by terms and concepts drawn from the basic reducing theory. Set-theoretic structures are not terms or concepts (...) but the structures that they describe. Second, and more serious, a familiar problem for classical positivist account of reduction resurfaces within this newest wave of thinking, namely, commitment to property identities and inter-theoretic bridge laws (a problem I discussed at more length in "Collapse of the New Wave"). Indeed, this problem is exacerbated by Bickle’s conciliatory treatment of property plasticity, since he is willing to grant that a large number of special science terms denote multiply realized properties, at least if realistically construed. Still, in the end, Bickle sidesteps the reduction of properties by appealing to Hooker’s "function-to-structure token reduction." This is an interesting move with an intriguing concept of reduction. But problems remain. For, third, Bickle and Hooker's function-to-structure token reduction is actually a guised form of eliminative materialism. But that should be unacceptable since the position extends well beyond any modest revisionism for suspect items from a folk theory, say, in folk psychology or folk biology. Instead, it applies to functional terms and concepts employed throughout well-developed and explanatorily successful sciences. (shrink)

This chapter discusses several kinds of reduction that are often found in the biomedical sciences, in contrast to reduction in fields such as physics. This includes reduction as a methodological assumption for how to investigate phenomena like complex diseases, and reduction as a conceptual tool for relating distinct models of the same phenomenon. The case of Parkinson’s disease illustrates a wide variety of ways in which reductionism is an important tool in medicine.

There is a consistent and simple interpretation of the quantum theory of isolated systems. The interpretation suffers no measurement problem and provides a quantum explanation of state reduction, which is usually postulated. Quantum entanglement plays an essential role in the construction of the interpretation.

Rom Harré thinks that the Emergence–Reduction debate, conceived as a vertical problem, is partly ill posed. Even if he doesn’t wholly reject the traditional definition of an emergent property as a property of a collection but not of its components, his point is that this definition doesn’t exhaust all the dimensions of emergence. According to Harré there is another kind (or dimension) of emergence, which we may call—somewhat paradoxically—“horizontal emergence”: two properties of a substance are horizontally emergent relative to (...) each other if they cannot be displayed in the same conditions. Contrary to vertical emergence, horizontal emergence is a symmetrical relation. Harré endorses horizontal emergentism. I argue that this position faces a principled difficulty: it makes it impossible to bind different horizontally emergent discourses in an interesting way. Physics and biology for example become “island” discourses, each speaking of a distinct kind of entities. The only way to ensure that two different discourses can relate to the same entity is to reintroduce verticality into the picture. (shrink)

This is a first tentative examination of the possibility of reinstating reduction as a valid candidate for presenting relations between mental and physical properties. Classical Nagelian reduction is undoubtedly contaminated in many ways, but here I investigate the possibility of adapting to problems concerning mental properties an alternative definition for theory reduction in philosophy of science. The definition I offer is formulated with the aid of non-monotonic logic, which I suspect might be a very interesting realm for (...) testing notions concerning localized mental-physical reduction. The reason for this is that non-monotonic reasoning by definition is about appeals made not only to explicit observations, but also to an implicit selection of background knowledge containing heuristic information. The flexibility of this definition and the fact that it is not absolute, i.e. that the relation of reduction may be retracted or allowed to shift without fuss, add at least an interesting alternative factor to current materialist debates. South African Journal of Philosophy Vol. 25(2) 2006: 102-112. (shrink)

Phenomenological reduction as a philosophical conversion (periagoge) -/- Während Husserl in den Ideen I die Reduktion als eine neue „Methode“ des Denkens, d. h. als eine „epistemologische“ Reduktion versteht, schlägt Scheler eine Reduktion als eine „Tèchne“ der Umbildung vor, durch die der Mensch seiner exzentrischen Stellung in der Welt Gestalt zu geben sucht. Mich interessiert an diesem Zitat vor allem der Gebrauch des griechischen Terminus „Tèchne“. Was Scheler damit bezeichnet, hat offensichtlich nichts mit dem zu tun, was wir heute (...) unter dem Begriff der Technik verstehen. Er spricht eben von einer Kunst „des inneren Handelns“. Meines Erachtens verweist Scheler durch diesen griechischen Begriff auf Platons Gedanken. Für diese These kann man sich bereits auf eine Stelle aus der mittleren Phase im Denken Schelers stützen, in der er nämlich die phänomenologische Reduktion als den moralischen Akt darstellt, dem der „platonische Aufschwung“ (Vom Wesen der Philosophie, GW V, 67) zugrunde liegt. Es ist nun geradezu dieser „platonische Aufschwung“, der im Nachlass ausdrücklich als eine „Tèchne“ (Nachlass, GW XI, 118) beschrieben wird. Was heißt nun in diesem Kontext tèchne bei Platon? Schelers Gebrauch des griechischen Terminus tèchne für die Bezeichnung der phänomenologischen Reduktion erinnert sehr an die tèchne tês periagogês im Höhlengleichnis Platons, durch die die Gefangenen aus der Höhle hinausgehen können. Diese tèchne versteht Platon als einen Bildungsprozess des Menschen; er lernt dadurch, seinen Blick auf das Gute hin zu lenken, damit seine Seinsweise in der Welt zurechtgerückt werden könne. Es geht also um eine conversio oder Umkehrung der eigenen Positionalität in der Welt, die den Übergang vom Leben zum guten Leben zustande bringen kann. Diese tèchne ist grundlegend für das Verständnis der paideía bei Platon, die sich nicht mit einer bloßen Übertragung von Informationen begnügt, sondern vielmehr nach einer periagogé (Umkehrung) der ganzen Seele strebt. Es muss also – wie Sokrates sagt – eine besondere „Kunst der Umkehrung [tèchne tês periagogês]“ geben, die lehrt, auf welche Weise am leichtesten und wirksamsten die Seele umgewendet werden kann, und zwar unter Berücksichtigung dessen, dass sie bereits sehen kann, aber es alleine nicht schafft, das Gesicht zu wenden, „wohin es solle“ (Politeia, VII, 518 d). (shrink)

In this article, we redefine classical notions of theory reduction in such a way that model-theoretic preferential semantics becomes part of a realist depiction of this aspect of science. We offer a model-theoretic reconstruction of science in which theory succession or reduction is often better - or at a finer level of analysis - interpreted as the result of model succession or reduction. This analysis leads to 'defeasible reduction', defined as follows: The conjunction of the assumptions (...) of a reducing theory T with the definitions translating the vocabulary of a reduced theory T' to the vocabulary of T, defeasibly entails the assumptions of reduced T'. This relation of defeasible reduction offers, in the context of additional knowledge becoming available, articulation of a more flexible kind of reduction in theory development than in the classical case. Also, defeasible reduction is shown to solve the problems of entailment that classical homogeneous reduction encounters. Reduction in the defeasible sense is a practical device for studying the processes of science, since it is about highlighting different aspects of the same theory at different times of application, rather than about naive dreams concerning a metaphysical unity of science. (shrink)

This paper focuses on the phenomenology of awareness and the second reduction.

Convincing disputes about explanatory reductionism in the philosophy of biology require a clear and precise understanding of what a reductive explanation in biology is. The central aim of this book is to provide such an account by revealing the features that determine the reductive character of a biological explanation. Chapters I-IV provide the ground, on which I can then, in Chapter V, develop my own account of explanatory reduction in biology: Chapter I reveals the meta-philosophical assumptions that underlie my (...) analysis of reduction, Chapter II introduces the previous debate about reduction in the philosophy of biology by pointing out the most crucial lessons one should learn from this debate, Chapter III critically discusses the two perspectives on explanatory reduction that have been proposed in the philosophy of biology so far, and Chapter IV clarifies in what ways the issue of reduction is entangled with the issue of explanation. In Chapter V I present my own account of explanatory reduction. My main claim is that reductive explanations in the biological sciences possess three main characteristics: they explain the behavior of a biological system S, first, exclusively in terms of factors that are located on a lower level of organization than S, second, by focusing on factors that are internal to S , and third, by describing the genuine parts of S only as “parts in isolation”. This account is ontic because it traces the reductivity of an explanation back to certain relations that exist in the world. (shrink)

The received view about emergence and reduction is that they are incompatible categories. I argue in this paper that, contrary to the received view, emergence and reduction can hold together. To support this thesis, I focus attention on dynamical systems and, on the basis of a general representation theorem, I argue that, as far as these systems are concerned, the emulation relationship is sufficient for reduction (intuitively, a dynamical system DS1 emulates a second dynamical system DS2 when (...) DS1 exactly reproduces the whole dynamics of DS2). This representational view of reduction, contrary to the standard deductivist one, is compatible with the existence of structural properties of the reduced system that are not also properties of the reducing one. Therefore, under this view, by no means are reduction and emergence incompatible categories but, rather, complementary ones. (shrink)

We sketch the mechanistic approach to levels, contrast it with other senses of “level,” and explore some of its metaphysical implications. This perspective allows us to articulate what it means for things to be at different levels, to distinguish mechanistic levels from realization relations, and to describe the structure of multilevel explanations, the evidence by which they are evaluated, and the scientific unity that results from them. This approach is not intended to solve all metaphysical problems surrounding physicalism. Yet it (...) provides a framework for thinking about how the macroscopic phenomena of our world are or might be related to its most fundamental entities and activities. (shrink)

A major part of the mind–body problem is to explain why a given set of physical processes should give rise to qualia of one sort rather than another. Colour hues are the usual example considered here, and there is a lively debate between, for example, Hardin, Levine, Jackson, Clark and Chalmers as to whether the results of colour vision science can provide convincing explanations of why colours actually look the way they do. This paper examines carefully the type of explanation (...) that is needed here, and it is concluded that it does not have to be reductive to be effective. What needs to be explained more than anything is why inverted hue scenarios are more intuitive than other sensory inversions: and the issue of physicalism versus dualism is only of marginal relevance here. (shrink)

In this paper I compare two different approaches to the supposed distinction between the mental and the physical: 1. Brentano's theory of `Intentionality', which, in its early formulation, proposes a true distinction between physical objects and the objects of thought; and 2. Dennett's `Intentional Systems Theory', which is an attempt to naturalise the mind and to reduce mental phenomena such as beliefs and desires to simple physical systems.

It can be argued (cf. Dizadji‑Bahmani et al. 2010) that an increase in coherence is one goal that drives reductionist enterprises. Consequently, the question if or how well this goal is achieved can serve as an epistemic criterion for evaluating both a concrete case of a purported reduction and our model of reduction : what conditions on the model allow for an increase in coherence ? In order to answer this question, I provide an analysis of the relation (...) between the reduction and the coherence of two theories. The underlying model of reduction is a (generalised) Nagelian model (cf. Nagel 1970, Schaffner 1974, Dizadji‑Bahmani et al. 2010). For coherence, different measures have been put forward (e.g. Shogenji 1999, Olsson 2002, Fitelson 2003, Bovens & Hartmann 2003). However, since there are counterexamples to each proposed coherence measure, we should be careful that the analysis be sufficiently stable (in a sense to be specified). It will turn out that this can be done. (shrink)

During the last decades, mankind has suffered from devastation caused by natural disasters and technological accidents of increased frequency and children are among the most vulnerable population group, especially those attending school during times of disaster. The importance of education in promoting and enabling disaster risk reduction has already been identified by researchers. In this paper “Disaster Date Center (DDC)” is presented, a new, powerful and innovative tool for the study of and education on disasters. One noteworthy application of (...) DDC is the educational and public awareness tool in the form of e-learning. (shrink)

This paper first argues that we can bring out a tension between the following three popular doctrines: (i) the canonical reduction of metaphysical modality to essence, due to Fine, (ii) contingentism, which says that possibly something could have failed to be something, and (iii) the doctrine that metaphysical modality obeys the modal logic S5. After presenting two such arguments (one from the theorems of S4 and another from the theorems of B), I turn to exploring various conclusions we might (...) draw in light of these results, and argue that none comes cost free. In the course of laying out possible responses to my arguments, we'll have a chance to evaluate various doctrines about the interplay between contingency and essence, as well as develop some alternative reductions of metaphysical modality to essence. I don't decisively come down in favor of one response over the others, though I say some things that point towards the conclusion that essence has no role to play in reducing metaphysical modality. (shrink)

In this chapter, I discuss some lesser-known aspects of Husserl’s concept of the phenomenological reduction in relation to his use of the notion of reflection, and indicate how these topics connect to concerns in contemporary philosophy after the analytic-continental divide. Empathy, collective intentionality, non-representationalism, non-cognitivism, and the focus on the lived body as a source of sense-making and knowing-how are all domains in which Husserl’s conception of the reduction anticipates recent philosophical trends after the analytic-continental divide. They are (...) also interconnected parts of a unified conception of philosophy that arises from the phenomenological reduction when we reflect radically on experience in its full breadth as an embodied phenomenon that is both historical and communal. (shrink)

Despite all the criticism showered on Nagel’s classic account of reduction, it meets a fundamental desideratum in an analysis of reduction that is difficult to question, namely of providing for a proper identification of the reducing theory. This is not clearly accommodated in radically different accounts. However, the same feature leads me to question Nagel’s claim that the reducing theory can be separated from the putative bridge laws, and thus to question his notion of heterogeneous reduction. A (...) further corollary to the requirement that all the necessary conditions be incorporated in an adequate formulation of the putative reducing theory is that the standard example of gas temperature is not reducible to average molecular kinetic energy. As originally conceived, Nagel’s conception of reduction takes no account of approximate reasoning and this failure has certainly restricted its applicability, perhaps to the point of making it unrealistic as a model of reduction in science. I suggest approximation can be accommodated by weakening the original requirement of deduction without jeopardizing the fundamental desideratum. Finally, I turn to briefly consider the idea sometimes raised of the ontological reducibility of chemistry. (shrink)

Schaffner’s model of theory reduction has played an important role in philosophy of science and philosophy of biology. Here, the model is found to be problematic because of an internal tension. Indeed, standard antireductionist external criticisms concerning reduction functions and laws in biology do not provide a full picture of the limits of Schaffner’s model. However, despite the internal tension, his model usefully highlights the importance of regulative ideals associated with the search for derivational, and embedding, deductive relations (...) among mathematical structures in theoretical biology. A reconstructed Schaffnerian model could therefore shed light on mathematical theory development in the biological sciences and on the epistemology of mathematical practices more generally. *Received November 2006; revised March 2009. †To contact the author, please write to: Philosophy Department, University of California, Santa Cruz, 1156 High St., Santa Cruz, CA 95064; e‐mail: rgw@ucsc.edu. (shrink)

The aim of this paper is to refer basic philosophical approaches to the problem of musical meaning and, on the other hand, to describe some examples of the research on musical meaning found in the field of cognitive neuroscience. By looking at those two approaches together it can be seen that there is still no agreement on how musical meaning should be understood, often due to several methodological problems of which the most important seem to be the possibility of inter-theoretical (...) reduction and application of an accurate theory of explanation. I am suggesting that the application of some form of the mechanistic model of explanation might be found useful for clarifying reductionism-antireductionism dispute concerning musical meaning, and more importantly, for providing some answers for the debate in music-as-language controversy. (shrink)

"New wave" reductionism aims at advancing a kind of reduction that is stronger than unilateral dependency of the mental on the physical. It revolves around the idea that reduction between theoretical levels is a matter of degree, and can be laid out on a continuum between a "smooth" pole (theoretical identity) and a "bumpy" pole (extremely revisionary). It also entails that both higher and lower levels of the reductive relationship sustain some degree of explanatory autonomy. The new wave (...) predicts that reductions of folk psychology to neuroscience will be located in the middle of this continuum; as neuroscientific evidence about mental states checks in, theoretical folk psychology will therefore be moderately revised. However, the model has conceptual problems which preclude its success in reviving reductionism, and its commitment to a syntactic approach wrecks its attempt to rescue folk psychology. Moreover, the architecture of the continuum operates on a category mistake that sneaks in an eliminativist conclusion. I argue that new wave reductionism therefore tends to be eliminativism in disguise. (shrink)

Entanglement has been called the most important new feature of the quantum world. It is expressed in the quantum formalism by the joint measurement formula. We prove the formula for projection valued observables from a plausible assumption, which for spacelike separated measurements is an expression of relativistic causality. The state reduction formula is simply a way to express the joint measurement formula after one measurement has been made, and its result known.

Intertheoretic relations are an important topic in the philosophy of science. However, since their classical discussion by Ernest Nagel, such relations have mostly been restricted to relations between pairs of theories in the natural sciences. In this paper, we present a model of a new type of intertheoretic relation, called 'Montague Reduction', which is assumed in Montague's framework for the analysis and interpretation of natural language syntax. To motivate the adoption of our new model, we show that this model (...) extends the scope of application of the Nagelian (or related) models, and that it shares the epistemological advantages of the Nagelian model. The latter is achieved in a Bayesian framework. (shrink)

Recent work in the methodology of connectionist explanation has I'ocrrsccl on the notion of levels of explanation. Specific issucs in conncctionisrn hcrc intersect with rvider areas of debate in the philosophy of psychology and thc philosophy of science generally. The issues I raise in this chapter, then, are not unique to cognitive science; but they arise in new and important contexts when connectionism is taken seriously as a model of cognition. The general questions are the relation between levels and the (...) status of levels which have no obvious relation to others. In speaking of levels, what is the connection, if there is one, between explanation and ontology? Which, if any, conccpt of reduction is applicable to connectionist systems? What kind of legitinrtcy can the constructs of common sense psychology, or of that vclsion ol intentional realism represented by classical symbol-systems n I, hirvc irr ir full-scale connectionist theory of mind? (shrink)

This paper’s aim is to establish an explanation for the separation of Northern minds, by examining the influence of a variety of factors on the shaping of people’s sense of identity at the time. Near the end of the 16th century the Groningers had proven to be a people with a mind of their own—impetuous, unruly and, in the end, unwilling to join the Republic in its efforts to liberate itself from its oppressive Spanish overlord. One by one the Dutch (...) cities had joined the revolution, but the city of Groningen refused. The ‘Ommelanden’—the city’s surrounding territory—however, did not—laying bare a critical disagreement between two ‘classes’: the Saxon city elite and the predominantly Frisian countryside nobles (Dutch plural: landjonkers/jonkheren). (shrink)

In `Essence and Modality', Kit Fine proposes that for a proposition to be metaphysically necessary is for it to be true in virtue of the nature of all objects whatsoever. Call this view Fine's Thesis. This paper is a study of Fine's Thesis in the context of Fine's logic of essence (LE). Fine himself has offered his most elaborate defense of the thesis in the context of LE. His defense rests on the widely shared assumption that metaphysical necessity obeys the (...) laws of the modal logic S5. In order to get S5 for metaphysical necessity, he assumes a controversial principle about the nature of all objects. I will show that the addition of this principle to his original system E5 leads to inconsistency with an independently plausible principle about essence. In response, I develop a theory that avoids this inconsistency while allowing us to maintain S5 for meta- physical necessity. However, I conclude that our investigation of Fine's Thesis in the context of LE motivates the revisionary conclusion that metaphysical necessity obeys the principles of the modal logic S4, but not those of S5. I argue that this constitutes a distinctively essentialist challenge to the received view that the logic of metaphysical necessity is S5. (shrink)

A small but growing number of studies have aimed to understand, assess and reduce existential risks, or risks that threaten the continued existence of mankind. However, most attention has been focused on known and tangible risks. This paper proposes a heuristic for reducing the risk of black swan extinction events. These events are, as the name suggests, stochastic and unforeseen when they happen. Decision theory based on a fixed model of possible outcomes cannot properly deal with this kind of event. (...) Neither can probabilistic risk analysis. This paper will argue that the approach that is referred to as engineering safety could be applied to reducing the risk from black swan extinction events. It will also propose a conceptual sketch of how such a strategy may be implemented: isolated, self-sufficient, and continuously manned underground refuges. Some characteristics of such refuges are also described, in particular the psychosocial aspects. Furthermore, it is argued that this implementation of the engineering safety strategy safety barriers would be effective and plausible and could reduce the risk of an extinction event in a wide range of possible scenarios. Considering the staggering opportunity cost of an existential catastrophe, such strategies ought to be explored more vigorously. (shrink)

I attempt to meet some criticisms that Williamson makes of my attempt to carry out Prior's project of reducing possibility discourse to actualist discourse.

We address the question whether there is an explanation for the fact that as Fodor put it the micro-level “converges on stable macro-level properties”, and whether there are lessons from this explanation for other issues in the vicinity. We argue that stability in large systems can be understood in terms of statistical limit theorems. In the thermodynamic limit of infinite system size N → ∞ systems will have strictly stable macroscopic properties in the sense that transitions between different macroscopic phases (...) of matter (if there are any) will not occur in finite time. Indeed stability in this sense is a consequence of the absence of fluctuations, as (large) fluctuations would be required to induce such macroscopic transformations. These properties can be understood in terms of coarse-grained descriptions, and the statistical limit theorems for independent or weakly dependent random variable describing the behaviour averages and the statistics of fluctuations in the large system limit. We argue that RNG analyses applied to off-critical systems can provide a rationalization for the applicability of these limit theorems. Furthermore we discuss some related issues as, for example, the role of the infinite-system idealization. (shrink)

Some experts have argued that patients should routinely be told the specific magnitude and absolute probability of potential risks and benefits of screening tests. This position is motivated by the idea that framing risk information in ways that are less precise violates the ethical principle of respect for autonomy and its application in informed consent or shared decisionmaking. In this Perspective, we consider a number of problems with this view that have not been adequately addressed. The most important challenges stem (...) from the danger that patients will misunderstand the information or have irrational responses to it. Any initiative in this area should take such factors into account and should consider carefully how to apply the ethical principles of respect for autonomy and beneficence. (shrink)

Speaks defends the view that propositions are properties: for example, the proposition that grass is green is the property being such that grass is green. We argue that there is no reason to prefer Speaks's theory to analogous but competing theories that identify propositions with, say, 2-adic relations. This style of argument has recently been deployed by many, including Moore and King, against the view that propositions are n-tuples, and by Caplan and Tillman against King's view that propositions are facts (...) of a special sort. We offer our argument as an objection to the view that propositions are unsaturated relations. (shrink)

Researchers in the cognitive sciences often seek neural correlates of psychological constructs. In this paper, I argue that even when these correlates are discovered, they do not always lead to reductive outcomes. To this end, I examine the psychological construct of a critical period and briefly describe research identifying its neural correlates. Although the critical period is correlated with certain neural mechanisms, this does not imply that there is a reductionist relationship between this psychological construct and its neural correlates. Instead, (...) this case study suggests that there may be many-to-many psychological-neural mappings, not just one-to-one or even one-to-many relations between psychological kinds and types of neural mechanisms. (shrink)

This paper elaborates upon various responses to the Problem of the One over the Many, in the service of two central goals. The first is to situate Huayan's mereology within the context of Buddhism's historical development, showing its continuity with a broader tradition of philosophizing about part-whole relations. The second goal is to highlight the way in which Huayan's mereology combines the virtues of the Nyāya-Vaisheshika and Indian Buddhist solutions to the Problem of the One over the Many while avoiding (...) their vices. (shrink)

Take a look at these four situations: Figure 1 All of these situations have certain features in common: in all of them an explanation is asked for, in all of them an explanation is given, and all these explanations are literally false (although in different ways).

Subjectivity or the problem of ‘qualia’ tends to make the accessibility and comprehension of psychological events intangible especially for scientific exploration. The issue becomes even more complicated but interesting when one turns towards mystical experiences. Such experiences are different from other psychological phenomena in the sense that they don’t occur to every one, so are difficult to comprehend even for their qualifications of existence. We conducted a qualitative study on one such experience of inner-light perception. This is a common experience (...) reported by meditators of all kinds. However, we chose to study this phenomenon in Vihangam Yoga practitioners because of frequent occurrence of this experience in them as well as their reports of having it for hours at a stretch. During this study, it was noted that it arose many questions there we need to answer not only to explain such phenomena but also for having a better understanding of philosophy of science. In the search for these answers, we proceeded towards another complicated branch of science, quantum mechanics. Our present work is about creating an interface between a unique subjective phenomenon and principles of philosophy as well as of quantum mechanics. We explore the constructs of physical and critical realisms and their coincidence, quantum information theory and the measurement problem of Copenhagen interpretation and their possible applications in such an experience. In this endeavour, we also address the possibility that inner-light perception as experienced by Vihangam Yogis is a quantum event in brain. For this purpose, we specifically analyse the Zeilingers information concept and try to apply it to this phenomena. (shrink)

Ambivalence is most naturally characterized as a case of conflicting desires. In most cases, an agent’s intrinsic desires conflict contingently: there is some possible world in which both desires would be satisfied. This paper argues, though, that there are cases in which intrinsic desires necessarily conflict—i.e., the desires are not jointly satisfiable in any possible world. Desiring a challenge for its own sake is a paradigm case of such a desire. Ambivalence of this sort in an agent’s desires creates special (...) problems for the project of reducing all facts about an agent’s desires to facts about his or her preferences over options. If this reductive project fails, there is reason to suspect that the Decision Theory cannot give us a complete theory of Humean rationality. (shrink)