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)

A classification of models of reduction into three categories — theory reductionism, explanatory reductionism, and constitutive reductionism — is presented. It is shown that this classification helps clarify the relations between various explications of reduction that have been offered in the past, especially if a distinction is maintained between the various epistemological and ontological issues that arise. A relatively new model of explanatory reduction, one that emphasizes that reduction is the explanation of a whole in terms (...) of its parts is also presented in detail. Finally, the classification is used to clarify the debate over reductionism in molecular biology. It is argued there that while no model from the category of theory reduction might be applicable in that case, models of explanatory reduction might yet capture the structure of the relevant explanations. (shrink)

In his influential paper ‘‘Essence and Modality’’, Kit Fine argues that no account of essence framed in terms of metaphysical necessity is possible, and that it is rather metaphysical necessity which is to be understood in terms of essence. On his account, the concept of essence is primitive, and for a proposition to be metaphysically necessary is for it to be true in virtue of the nature of all things. Fine also proposes a reduction of conceptual and logical necessity (...) in the same vein: a conceptual necessity is a proposition true in virtue of the nature of all concepts, and a logical necessity a proposition true in virtue of the nature of all logical concepts. I argue that the plausibility of Fine's view crucially requires that certain apparent explanatory links between essentialist facts be admitted and accounted for, and I make a suggestion about how this can be done. I then argue against the reductions of conceptual and logical necessity proposed by Fine and suggest alternative reductions, which remain nevertheless Finean in spirit. (shrink)

This essay analyzes and develops recent views about explanation in biology. Philosophers of biology have parted with the received deductive-nomological model of scientific explanation primarily by attempting to capture actual biological theorizing and practice. This includes an endorsement of different kinds of explanation (e.g., mathematical and causal-mechanistic), a joint study of discovery and explanation, and an abandonment of models of theory reduction in favor of accounts of explanatory reduction. Of particular current interest are philosophical accounts of complex explanations (...) that appeal to different levels of organismal organization and use contributions from different biological disciplines. The essay lays out one model that views explanatory integration across different disciplines as being structured by scientific problems. I emphasize the philosophical need to take the explanatory aims pursued by different groups of scientists into account, as explanatory aims determine whether different explanations are competing or complementary and govern the dynamics of scientific practice, including interdisciplinary research. I distinguish different kinds of pluralism that philosophers have endorsed in the context of explanation in biology, and draw several implications for science education, especially the need to teach science as an interdisciplinary and dynamic practice guided by scientific problems and explanatory aims. (shrink)

This essay exposes several problems with reductionist approaches to art, placing some specific focus on ‘The Science of Art’ by Vilayanur S. Ramachandran and William Hirstein . Their article seems to be representative of this genre in general, though particularly egregious in certain dimensions. My approach will differ greatly from that of a neuroscientist, philosopher, or psychologist, since I primarily take a critical feminist, social-literary perspective. I will argue that reductionist approaches to art are an intoxicating composite of arrogance, insight, (...) confusion and precision, an amalgam that challenges the commentator to distinguish what is worth praising, what is worth attacking, and what is best left alone. In particular, I will demonstrate that Ramachandran and Hirstein confuse arousal with beauty, with the disastrous result of excluding most of what is usually taken to distinguish ‘high’ art from its ‘lower’ forms, such as advertising, industrial design, and pornography. (shrink)

The argument from multiple realization is currently considered the argument against intertheoretic reduction. Both Little and Kincaid have applied the argument to the individualism-holism debate in support of the antireductionist holist position. The author shows that the tenability of the argument, as applied to the individualism-holism debate, hinges on the descriptive constraints imposed on the individualist position. On a plausible formulation of the individualist position, the argument does not establish that the intertheoretic reduction of social theories is highly (...) unlikely. Nonetheless, the reductive project may run into other potential obstacles. For this reason, it is concluded that the prospect of intertheoretic reduction is uncertain rather than unlikely. Key Words: argument from multiple realization • intertheoretic reduction • reductionism • individualism • holism. (shrink)

_The Messianic Reduction_ is a groundbreaking study of Walter Benjamin's thought. Fenves places Benjamin's early writings in the context of contemporaneous philosophy, with particular attention to the work of Bergson, Cohen, Husserl, Frege, and Heidegger. By concentrating on a neglected dimension of Benjamin's friendship with Gershom Scholem, who was a student of mathematics before he became a scholar of Jewish mysticism, Fenves shows how mathematical research informs Benjamin's reflections on the problem of historical time. In order to capture the character (...) of Benjamin's "entrance" into the phenomenological school, the book includes a thorough analysis of two early texts he wrote under the title of "The Rainbow," translated here for the first time. In its final chapters, the book works out Benjamin's deep and abiding engagement with Kantian critique, including Benjamin's discovery of the political counterpart to the categorical imperative in the idea of "pure violence.". (shrink)

Various scientific theories stand in a reductive relation to each other. In a recent article, we have argued that a generalized version of the Nagel-Schaffner model (GNS) is the right account of this relation. In this article, we present a Bayesian analysis of how GNS impacts on confirmation. We formalize the relation between the reducing and the reduced theory before and after the reduction using Bayesian networks, and thereby show that, post-reduction, the two theories are confirmatory of each (...) other. We then ask when a purported reduction should be accepted on epistemic grounds. To do so, we compare the prior and posterior probabilities of the conjunction of both theories before and after the reduction and ask how well each is confirmed by the available evidence. (shrink)

Reductionism is a widely endorsed methodology among biologists, a metaphysical theory advanced to vindicate the biologist's methodology, and an epistemic thesis those opposed to reductionism have been eager to refute. While the methodology has gone from strength to strength in its history of achievements, the metaphysical thesis grounding it remained controversial despite its significant changes over the last 75 years of the philosophy of science. Meanwhile, antireductionism about biology, and especially Darwinian natural selection, became orthodoxy in philosophy of mind, philosophy (...) of science, and philosophy of biology. This Element expounds the debate about reductionism in biology, from the work of the post-positivists to the end of the century debates about supervenience, multiple realizability, and explanatory exclusion. It shows how the more widely accepted 21st century doctrine of 'mechanism' - reductionism with a human face - inherits both the strengths and the challenges of the view it has largely supplanted. (shrink)

As Dieter Lohmar (Citation2002; Citation2012) has shown, in the Logical Investigation Husserl sketches a peculiar type of reduction, the so-called “Reduktion auf den reellen Bestand.” Husserl does not explicitly put this kind of reduction forward, though, and he does definitely not clarify how it works, and what its elements properly are. Lohmar proposes to understand it as a kind of empiricist reduction to mere sense-data. On the contrary, I believe that it should be considered as entailing also (...) the apprehensional forms of sense-data, though not the so-called apprehensional senses. In this article, I will offer some arguments and textual evidence in favour of this claim, and I will conclude by proposing that, despite Husserl’s unclarity on the issue, the reduction to the real components of experience, rather than being simply an ancestor of the transcendental-phenomenological reduction, should be seen as the regulative model of all later forms of reduction. (shrink)

This paper attempts a critical reappraisal of Nagel's (1961, 1970) model of reduction taking into account both traditional criticisms and recent defenses. This model treats reduction as a type of explanation in which a reduced theory is explained by a reducing theory after their relevant representational items have been suitably connected. In accordance with the deductive-nomological model, the explanation is supposed to consist of a logical deduction. Nagel was a pluralist about both the logical form of the connections (...) between the reduced and reducing theories (which could be conditionals or biconditionals) and their epistemological status (as analytic connections, conventions, or synthetic claims). This paper defends Nagel's pluralism on both counts and, in the process, argues that the multiple realizability objection to reductionism is misplaced. It also argues that the Nagel model correctly characterizes reduction as a type of explanation. However, it notes that logical deduction must be replaced by a broader class of inferential techniques that allow for different types of approximation. Whereas Nagel (1970), in contrast to his earlier position (1961), recognized the relevance of approximation, he did not realize its full import for the model. Throughout the paper two case studies are used to illustrate the arguments: the putative reduction of classical thermodynamics to the kinetic theory of matter and that of classical genetics to molecular biology. (shrink)

This Element offers an overview of some of the most important debates in philosophy and physics around the topics of emergence and reduction and proposes a compatibilist view of emergence and reduction. In particular, it suggests that specific notions of emergence, which the author calls 'few-many emergence' and 'coarse-grained emergence', are compatible with 'intertheoretic reduction'. Some further issues that will be addressed concern the comparison between parts-whole emergence and few-many emergence, the emergence of effective theories, the use (...) of infinite limits, the notion of intertheoretic reduction and the explanation of universal and cooperative behavior. Although the focus will be principally on classical phase transitions and other examples from condensed matter physics, the main aim is to draw some general conclusions on the topics of emergence and reduction that can help us understand a variety of case-studies ranging from high-energy physics to astrophysics. (shrink)

La tesis principal de este ensayo estipula que el determinismo causal es una propiedad de la naturaleza y el primer principio de la inteligibilidad natural. Se expresa, por ejemplo, en la frase de Lucrecio: “Nada surge de la nada ni va hacia la nada”. Todo lo que existe es efecto de una red de causas y es a su vez causa de otras cosas. Se sigue que la teoría científica orientada hacia la inteligibilidad —diferente de la ciencia positi-vista y pragmática— (...) es la búsqueda de determinismo causal. El desarrollo de esta tesis utiliza como hilo conductor el pensamiento de René Thom. Esto significa que el determinismo causal se examina en su rela-ción con (I) la estabilidad y la inestabilidad, (II) el desafío de la mecánica cuántica, (III) las raíces aporéticas de la ciencia tal como la dualidad determinismo-indeterminismo, y finalmente (IV) en su relación con el método para ponerlo de manifiesto, es decir la reducción de lo posible —estrategia que es, en este dominio, una de las ideas más originales de Thom.The main thesis of this essay is that causal determinism is a property of nature and the main principle of natural intelligibility. It can be expressed in Lucretius’ words: “Nothing comes out of nothing or passes into nothing”. Everything is the effect of a web of causes and is, in its turn, cause of something else. It follows that the essence of an intelligibility-oriented scientific theory —which is different from science in a positivist or pragmatist sense— is the search for causal determinism. The development of this thesis is guided by René Thom’s thought. This means that causal determinism is analysed, first, in its relation to stability and instability; second, in its relation to the prima facie indeterminism of quantum mechanics; third, in its relation to the aporetic roots of science such as the duality determinism —indeterminism, and, finally, in its relation to the method which allows science to follow the causal determinist ideal: the reduction of the possible— a strategy which is, in this field, one of Thom’s most original ideas. (shrink)

Assume that water reduces to H2O. If so water is identical to H2O. At the same time, if water reduces to H2O then H2O does not reduce to water–the reduction relation is asymmetric. This generates a puzzle–if water just is H2O it is hard to see how we can account for the asymmetry of the reduction relation. The paper proposes a solution to this puzzle. It is argued that the reduction predicate generates intensional contexts and that in (...) order to account for the asymmetry, we should develop conditions on the meanings of expressions that flank the reduction predicate in true reduction statements. Finally, it is argued that if we adopt this interpretation, we can illuminate the epistemological difference between reduced and reducing item commonly referred to in the literature. (shrink)

In Mind in a Physical World (1998), Jaegwon Kim has recently extended his ongoing critique of `non-reductive materialist' positions in philosophy of mind by arguing that Nagel's model of reduction is the wrong paradigm in terms of which to contest the issue of psychophysical reduction, and that an altogether different model of scientific reduction – a functional model of reduction – is needed. In this paper I argue, first, that Kim's conception of the Nagelian model is (...) substantially impoverished and potentially misleading; second, that his own functional model is problematic in several respects; and, third, that the basic idea underlying his functional model can well be accommodated within a properly reinterpreted Nagelian model. I conclude with some reflections on the issue of psychophysical reduction. (shrink)

The notion of reduction in the natural sciences has been assimilated to the notion of inter-theoretical explanation. Many philosophers of science (following Nagel) have held that the apparently ontological issues involved in reduction should be replaced by analyses of the syntactic and semantic connections involved in explaining one theory on the basis of another. The replacement does not seem to have been especially successful, for we still lack a plausible account of inter-theoretical explanation. I attempt to provide one.

. Introductory Remarks THEODOSIUS DOBZHANSKY The problems of reduction in biology are currently of considerable theoretical interest and practical ...

The paper argues that the phenomenon of first-order phase transitions (e.g., freezing) has features that make it a candidate to be classified as 'emergent'. However, it cannot be described either as 'weakly emergent' or 'strongly emergent'; hence it escapes categorization in terms employed in the current literature on the metaphysics of science.

In another paper, one of us argued that emergence and reduction are compatible, and presented four examples illustrating both. The main purpose of this paper is to develop this position for the example of phase transitions. We take it that emergence involves behaviour that is novel compared with what is expected: often, what is expected from a theory of the system's microscopic constituents. We take reduction as deduction, aided by appropriate definitions. Then the main idea of our reconciliation (...) of emergence and reduction is that one makes the deduction after taking a limit of an appropriate parameter $N$. Thus our first main claim will be that in some situations, one can deduce a novel behaviour, by taking a limit $N\to\infty$. Our main illustration of this will be Lee-Yang theory. But on the other hand, this does not show that the $N=\infty$ limit is physically real. For our second main claim will be that in such situations, there is a logically weaker, yet still vivid, novel behaviour that occurs before the limit, i.e. for finite $N$. And it is this weaker behaviour which is physically real. Our main illustration of this will be the renormalization group description of cross-over phenomena. (shrink)

Is there a problem of causal exclusion between micro- and macro-level physical properties? I argue (following Kim) that the sorts of properties that in fact are in competition are macro properties, viz., the property of a (macro-) system of 'having such-and-such macro properties' (call this a 'macro-structural property') and the property of the same system of 'being constituted by such-and-such a micro- structure' (call this a 'micro-structural property'). I show that there are cases where, for lack of reducibility, there is (...) a prima facie intra-level causal competition between the two kinds of properties. The problem can be resolved without giving up on the causal efficacy of the macro-structural properties if we understand instances of macro-structural properties to be parts of micro-structural property instances. The parthood relation between both kinds of property instances can be mapped onto the way physical theory deals with the relation of their descriptions in the framework of perturbation theory. The application of this framework to the problem of emergent properties is discussed. (shrink)

Watson and Crick’s discovery of the structure of DNA led to developments that transformed many biological sciences. But what were the relevant developments and how did they transform biology? Much of the philosophical discussion concerning this question can be organized around two opposing views: theoretical reductionism and layer-cake antireductionism. Theoretical reductionist and their anti-reductionist foes hold two assumptions in common. First, both hold that biological knowledge is structured like a layer cake, with some biological sciences, such as molecular biology cast (...) at lower levels of organization, and others, such as classical genetics, cast at higher levels. Second, both assume that scientific knowledge is structured by theory and that the productivity of scientific research depends on whether the underlying theory identifies the fundamentals upon which the phenomena to be explained and investigated depend. In the first part of this paper, I challenge these assumptions. In the second part, I show how recasting the basic theory of classical genetics made it possible to retool the methodologies of genetics. It was the investigative power of these retooled methodologies, and not the explanatory power of a gene-based theory, that transformed biology. (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)

Recently, Emil Lask’s work has been the object of renewed interest. As it has been noted, Lask’s work is much closer to phenomenology than that of his fellow Neo-Kantians. Many recent contributions to current discussions on this topic have compared his account of logic to Husserl’s. Less attention has been paid to Lask’s original metaphilosophical insights. In this paper, I explore Lask’s conception of transcendental philosophy to show how it led him to a phenomenological conversion. Lask found in Husserl’s Logical (...) Investigations the possibility of grounding transcendental philosophy in purely objective terms, thus avoiding any risk of psychologism. But he also concluded that the tools found in Logical Investigations needed to be complemented by a method which would inquire back fr om the constituted to the constituting and a way of grounding such a methodological move in experience itself. Lask then provided a model for reduction and motivation without bringing a transcendental ego into the picture. (shrink)

When once-successful physical theories are abandoned, common wisdom has it that their characteristic theoretical entities are abandoned with them: examples include phlogiston, light rays, Newtonian forces, Euclidean space. But sometimes a theory sees ongoing use, despite being superseded. What should scientific realists say about the characteristic entities of the theories in such cases? The standard answer is that these ‘theoretical relicts’ are merely useful fictions. In this paper we offer a different answer. We start by distinguishing horizontal reduction (in (...) which a superseded theory approximates the successor theory) from vertical reduction (in which a higher-level theory abstracts away from the lower-level theory, but nonetheless can be constructed from it); these are usually regarded as having different ontological consequences. We describe a ‘verticalization’ procedure which transforms horizontal reductions into vertical reductions. The resulting verticalized theories are abstractions rather than approximations, with restricted domains. We identify a sense in which the higher-level theory describes distinct subject matters from the lower-level theory, enabling in certain cases the higher-level theory to retain distinctive explanatory power even in the presence of reduction. We suggest that theoretical entities from superseded theories should be retained in a scientific realist worldview just when, reinterpreted as higher-level abstractions, those theories and their characteristic entities continue to perform distinctive explanatory work in providing the best explanation for less-fundamental phenomena of interest. In slogan form: a good relict is an emergent relict. (shrink)

An effective theory in physics is one that is supposed to apply only at a given length scale; the framework of effective field theory describes a ‘tower’ of theories each applying at different length scales, where each ‘level’ up is a shorter-scale theory. Owing to subtlety regarding the use and necessity of EFTs, a conception of emergence defined in terms of reduction is irrelevant. I present a case for decoupling emergence and reduction in the philosophy of physics. This (...) paper develops a positive conception of emergence, based on the novelty and autonomy of the ‘levels’, by considering physical examples, involving critical phenomena, the renormalisation group, and symmetry breaking. This positive conception of emergence is related to underdetermination and universality, but, I argue, is preferable to other accounts of emergence in physics that rely on universality. (shrink)

_reduction in favour of his existentialist account of être au monde. I show that whilst Merleau-Ponty _ _rejected, what he saw as, the transcendental idealist context in which Husserl presents the _ _reduction, he nevertheless accepts the heart of it, the epoché, as a methodological principle. _ _Contrary to a number of Merleau-Ponty scholars, être au monde is perfectly compatible with the _ _epoché and Merleau-Ponty endorses both. I also argue that it is a mistake to think that Merleau-_ _Ponty’s (...) liberal use of the results of empirical psychology signify a rejection of the epoché. A proper _ _understanding of his views on the relation between phenomenology and psychology shows that, at _ _least in Merleau-Ponty’s eyes, the methods of phenomenology and the empirical sciences are _ _largely similar. I conclude that we have every reason to think that Merleau-Ponty accepted _ _Husserl’s demand that the phenomenologist place the world in brackets._. (shrink)

In view of the arguments put forward by Clifton and Monton [this volume], we reconsider the alleged conflict of dynamical reduction models with the enumeration principle. We prove that our original analysis of such a problem is correct, that the GRW model does not meet any difficulty and that the reasoning of the above authors is inappropriate since it does not take into account the correct interpretation of the dynamical reduction theories.

In the article, Twin pregnancy, fetal reduction and the ‘all or nothing problem’, I argued that there is a moral problem in multifetal pregnancy reduction from a twin to a singleton pregnancy. Drawing on Horton’s original version of the ‘all or nothing problem’, I argued that there are two intuitively plausible claims in 2-to-1 MFPR: aborting both fetuses is morally permissible, aborting only one of the twin fetuses is morally wrong. Yet, with the assumption that one should select (...) permissible choice over impermissible choice, the two claims lead to a counter-intuitive conclusion: the woman ought to abort both fetuses rather than only one. It would be odd to promote such a pro-death view. Begović _et al_ discuss my article and offer insightful criticism, claiming, that there is no ‘all or nothing problem’ present in 2-to-1 MFPR. In this short reply, I respond to some of their criticism. (shrink)

In this article we critically evaluate Robin Le Poidevin's recent attempt to set out an argument for the ontological reduction of chemistry independently of intertheoretic reduction. We argue, firstly, that the argument he envisages applies only to a small part of chemistry, and that there is no obvious way to extend it. We argue, secondly, that the argument cannot establish the reduction of chemistry, properly so called.