Can the new indispensability argument be saved from Euclidean rescues?

The traditional formulation of the indispensability argument for the existence of mathematical entities (IA) has been criticised due to its reliance on confirmational holism. Recently a formulation of IA that works without appeal to confirmational holism has been defended. This recent formulation is meant to be superior to the traditional formulation in virtue of it not being subject to the kind of criticism that pertains to confirmational holism. I shall argue that a proponent of the version of IA that works without appeal to confirmational holism will struggle to answer a challenge readily answered by proponents of a version of IA that does appeal to confirmational holism. This challenge is to explain why mathematics applied in falsified scientific theories is not considered to be falsified along with the rest of the theory. In cases where mathematics seemingly ought to be falsified it is saved from falsification, by a so called ??Euclidean rescue??. I consider a range of possible answers to this challenge and conclude that each answer fails.     

Indispensability and Holism

It is claimed that the indispensability argument for the existence of mathematical entities (IA) works in a way that allows a proponent of mathematical realism to remain agnostic with regard to how we establish that mathematical entities exist. This is supposed to be possible by virtue of the appeal to confirmational holism that enters into the formulation of IA. Holism about confirmation is supposed to be motivated in analogy with holism about falsification. I present an account of how holism about falsification is supposed to be motivated. I argue that the argument for holism about falsification is in tension with how we think about confirmation and with two principles suggested by Quine for construing a plausible variety of holism. Finally, I show that one of Quine’s principles does not allow a proponent of mathematical realism to remain agnostic with regard to how we establish that mathematical entities exist.     

Belief-Ful Realism and Scientific Realism

Despite tensions between Tillich's category of belief-ful realism and a view of science that embraces metaphysical and epistemological realism, a constructive relationship can be developed between the two. Both are based on common understandings about reality. Belief-ful or theonomous realism thus affirms scientific realism. On the other hand, scientific realism is open to the ecstatic, self-transcending elements of belief-ful realism. Finally, Tillich's formulation of the relationship between culture and religion can be reformulated specifically to include scientific and technological culture.     

Perspectival Realism and Incompatible Models

I discuss the prospects of perspectival realism for resolving the problem of incompatible models or theories in scientific practice. My diagnosis is that the perspectivist can secure the ‘realism’ in her position only by employing suitable relations between the models. It is such relations that do the work, not the general philosophical claim about the perspectival nature of knowledge claims. But appeal to such relations has also been the preferred strategy of scientific realist approaches to the problem. With respect to the problem of incompatible models, then, it is not clear that perspectivism has a clear advantage—even though the issue was among the motivating problems for proposing this view. I suggest, however, that the required inter-model relations (typically limit relations) embody a narrower notion of perspective, a notion that is explicitly part of the models themselves and that is essential in maintaining a realist view.     

Dispensability in the Indispensability Argument

One of the most influential arguments for realism about mathematical objects is the indispensability argument. Simply put, this is the argument that insofar as we are committed to the existence of the physical objects existentially quantified over in our best scientific theories, we are also committed to the mathematical objects existentially quantified over in these theories. Following the Quine–Putnam formulation of the indispensability argument, some proponents of the indispensability argument have made the mistake of taking confirmational holism to be an essential premise of the argument. In this paper, I consider the reasons philosophers have taken confirmational holism to be essential to the argument and argue that, contrary to the traditional view, confirmational holism is dispensable.     

Recent Debates Over Structural Realism

Summary  In recent years Structural Realism has been revived as a compromise candidate to resolve the long-standing question of scientific realism. Recent debate over structural realism originates with Worrall’s (1989) paper “Structural Realism: The best of Both Worlds”. However, critics such as Psillos contend that structural realism incorporates an untenable distinction between structure and nature, and is therefore unworkable. In this paper I consider three versions of structural realism that purport to avoid such criticism. The first is Chakravartty’s “semirealism” which proceeds by trying to show that structural realism and entity realism entail one another. I demonstrate that this position will not work, but follow Chakravartty’s contention that structural realism need not imply that scientific knowledge can only be of mathematical structure. I advance from this conclusion to sketch a version of structural realism that is consistent with recent deflationary approaches to the scientific realism question. Finally, I consider a third approach to structural realism Ladyman’s “metaphysical structural realism” which tries to avoid the difficulties of earlier versions by taking structure to be ontologically primary. I show that the deflationary approach to structural realism undermines the rationale behind Ladyman’s approach.     

Realism and social structure

Social constructionism is often considered a form of anti-realism. But in contemporary feminist philosophy, an increasing number of philosophers defend views that are well-described as both realist and social constructionist. In this paper, I use the work of Sally Haslanger as an example of realist social constructionism. I argue: (i) that Haslanger is best interpreted as defending metaphysical realism about social structures; (ii) that this type of metaphysical realism about the social world presents challenges to some popular ways of understanding metaphysical realism.     

Pragmatic Unification, Observation and Realism in Astroparticle Physics

Astroparticle physics is a recent sub-discipline of physics that emerged from early cosmic ray studies, astrophysics, and particle physics. Its theoretical foundations range from quantum field theory to general relativity, but the underlying “standard models” of cosmology and particle physics are far from being unified. The paper explores the pragmatic strategies employed in astroparticle physics in order to unify a disunified research field, the concept of observation involved in these strategies, and their relations to scientific realism.     

Quantification and Realism*

This paper argues for the thesis that, roughly put, it is impossible to talk about absolutely everything. To put the thesis more precisely, there is a particular sense in which, as a matter of semantics, quantifiers always range over domains that are in principle extensible, and so cannot count as really being ‘absolutely everything’. The paper presents an argument for this thesis, and considers some important objections to the argument and to the formulation of the thesis. The paper also offers an assessment of just how implausible the thesis really is. It argues that the intuitions against the thesis come down to a few special cases, which can be given special treatment. Finally, the paper considers some metaphysical ideas that might surround the thesis. Particularly, it might be maintained that an important variety of realism is incompatible with the thesis. The paper argues that this is not the case.     

On the Thinking Brains and Tinkering with the Scientific Models

The paper aims to provide a detailed assessment of Tim Crane’s recent invocation of the notion of scientific models in the way of dealing with the issue of the brain’s representational states. In this paper, I assess Crane’s proposal under a charitable and a less charitable reading. I argue that Crane’s use of scientific models is at best (i.e. under a charitable reading) compatible with his expression of psychological realism. However, Crane’s use of model-based strategy by no means underlay, support, or strengthen his psychological realism. Rather, traditional reasons from the metaphysics of mind, acting quite separately from empirical scientific reasons, must be used to support this realism, and Crane has merely removed the threat posed to these metaphysical arguments by the existence of the so-called mereological fallacy in empirical neuroscience. Therefore, while he has saved the neuroscientific language from philosophical attack, he has perhaps even strengthened the divide between neuroscience and philosophy. I conclude the paper by outlining the sketch of a broadbrush scientifically informed strategy for defending psychological realism.     

Semantic Challenges to Scientific Realism

This paper is concerned with connections between scientific and metaphysical realism. It is not difficult to show that scientific realism, as expounded by Psillos (1999) clearly qualifies as a kind of metaphysical realism in the sense of Putnam (1980). The statement of scientific realism therefore must not only deal with underdetermination and the dynamics of scientific theories but also answer the semantic challenges to metaphysical realism. As will be argued, the common core of these challenges is the proposition that a (metaphysical) realist semantics leads to semantic agnosticism in the sense that we are unable to grasp the proper meanings and referents of our linguistic expressions. Having established this, I will focus more specifically on the question of whether scientific realism—in its state-of-the-art account—has the resources to make reference to scientific concepts intelligible such that the semantic challenges can be answered.     

The Semantic or Model-Theoretic View of Theories and Scientific Realism

The semantic view of theoriesis one according to which theoriesare construed as models of their linguisticformulations. The implications of thisview for scientific realism have been little discussed. Contraryto the suggestion of various champions of the semantic view,it is argued that this approach does not makesupport for a plausible scientific realism anyless problematic than it might otherwise be.Though a degree of independence of theory fromlanguage may ensure safety frompitfalls associated with logical empiricism, realism cannot be entertained unless models or (abstractedand/or idealized) aspects thereof are spelled out in terms of linguistic formulations (such as mathematical equations),which can be interpreted in terms of correspondencewith the world. The putative advantage of thesemantic approach – its linguistic independence – isthus of no help to the realist. I consider recent treatmentsof the model-theoretic view (Suppe, Giere, Smith), and find that although some of these accounts harbour the promiseof realism, this promise is deceptive.     

Scientific Realism and Quantum Mechanics: Revisiting a Controversial Relation

The article examines the controversial relation of scientific realism with quantum mechanics. To this end, two distinct discussions are invoked: the discussion about ‘realism’ in the context of quantum mechanics and the discussion about ‘scientific realism’ in the context of the general philosophy of science. The aim is to distinguish them in order, first, to argue that the former—revolving around ‘local realism’ and the theorems of Bell and Kochen–Specker—unjustifiably identifies realism with features of a particular worldview, and thereby fosters the impression that the failure of ‘local realism’ in quantum experiments constitutes a failure of scientific realism too; and, second, in light of the latter discussion, to claim that scientific realism and quantum mechanics can be compatible—there is ground for dealing with quantum measurement simply as a physical mind-independent interaction. Therefore, a realist approach to the theory is possible despite its notorious measurement problem, even if the issue of its interpretation is still disputed.     

Theological Realism and the Observability of God

A popular way of arguing for theological realism depends on analogies with defences of realism in the philosophy of science. This article questions the success and theological propriety of this strategy by comparing theological and scientific methodologies. First, for the analogies to work it is necessary to show that the theological counterparts of objections to scientific realism can be rebutted; however, it appears that orthodox theology cannot accomplish this. Second, the topic of un/observability in science and theology is analysed. It is shown that the two disciplines have different accounts of the topic and that comparisons between the two undermine a central argument of versions of theological realism based on the philosophy of science.     

Realism Despite Cognitive Antireductionism

Building on previous work, I continue the arguments for scientific realism in the presence of a natural level structure of science. That structure results from a cognitive antireductionism that calls for the retention of mature theories even though they have been “superseded”. The level structure is based on “scientific truth” characterized by a theory's validity domain and the confirming empirical data. Reductionism (including fundamentalism) fails cognitively because of qualitative differences in the ontology and semantics of successive theories. This cognitive failure exists in spite of the mathematical success of theory reduction. The claim for scientific realism is strongly based on theory coherence between theories on adjacent levels. Level coherence consists of mathematical relations between levels, as well as of reductive explanations. The latter refers to questions that can be posed (but not answered) on a superseded level, but which can be answered (explained) on the superseding level. In view of the pluralism generated by cognitive antireductionism, theory coherence is claimed to be so compelling that it provides strong epistemic justification for a pluralistic scientific realism.     

On the Origins of Critical Realism

Critical realism has been used in connection with different epistemological positions. The article reviews its different uses in German, American, and British philosophy and examines its relation to Barbour's introduction of the term in the science and theology debate. The result is that there is a close connection to scientific realism, but not to philosophical critical realism in a narrower sense. Critical realism is a type of realism defining the term in Kant's sense as related to the question of the existence of the tempospatial world. It distinguishes itself as a middle way between naïve realism and other extremes.     

The Scope and Multidimensionality of the Scientific Realism Debate

At stake in the classical realism-debate is the clash between realist and anti-realist positions. In recent years, the classical form of this debate has undergone a double transformation. On the one hand, the champions of realism began to pay more attention to the interpretative dimensions of scientific research. On the other hand, anti-realists of various sorts realized that the rejection of the hypostatization of a “reality out there” does not imply the denial of working out a philosophically adequate concept of reality. Against the background of this double transformation, new arguments in the realism-debate emerged. The present Introduction is an attempt at systematizing these arguments within the spectrum of doctrines between the poles of scientific realism (exposed and defended by Howard Sankey) and hermeneutic realism (advocated by Dimitri Ginev). The authors try also to demonstrate that after the classical debates the issue of scientism has to be addressed in new ways.     

Causal Warrant for Realism about Particle Physics

While scientific realism generally assumes that successful scientific explanations yield information about reality, realists also have to admit that not all information acquired in this way is equally well warranted. Some versions of scientific realism do this by saying that explanatory posits with which we have established some kind of causal contact are better warranted than those that merely appear in theoretical hypotheses. I first explicate this distinction by considering some general criteria that permit us to distinguish causal warrant from theoretical warrant. I then apply these criteria to a specific case from particle physics, claiming that scientific realism has to incorporate the distinction between causal and theoretical warrant if it is to be an adequate stance in the philosophy of particle physics.     

Mind-World Identity Theory and Semantic Realism: Haldane and Boulter on Aquinas

Stephen Boulter, in The Philosophical Quarterly , 48 (1998), pp. 504–13, attacks John Haldane's proposed account of the relationship between mind and world based on Aquinas' theory of cognition. Boulter argues against Haldane's attempt to square metaphysical realism with semantic anti-realism. I argue that even if metaphysical realism and a full-bodied semantic anti-realism may be incompatible, from the stance of the mind-world identity theory, one may nevertheless maintain metaphysical realism together with the negation of semantic realism. I suggest that this is what Haldane actually claimed, and moreover that Aquinas would have accepted it. Aquinas' analogy-based semantics enlarges the recognitional capacities of speakers, and one's capacity to recognize a fact empirically is different from one's capacity to form thoughts about a fact.     

Three Paradigms of Scientific Realism: A Truthmaking Account

This paper investigates the nature of scientific realism. I begin by considering the anomalous fact that Bas van Fraassen's account of scientific realism is strikingly similar to Arthur Fine's account of scientific non-realism. To resolve this puzzle, I demonstrate how the two theorists understand the nature of truth and its connection to ontology, and how that informs their conception of the realism debate. I then argue that the debate is much better captured by the theory of truthmaking, and not by any particular theory of truth. To be a scientific realist is to adopt a realism-relevant account of what makes true the scientific theories one accepts. The truthmaking approach restores realism's metaphysical core—distancing itself from linguistic conceptions of the debate—and thereby offers a better characterization of what is at stake in the question of scientific realism.