It is widely assumed that it is the anti-realist who stakes his case on evidence from the history of science. I argue that realists have failed to recognize the need to collect evidence from the history of science to support their methodological claims, and anti-realists do not rely on evidence from the history of science to the extent that many suggest.

I take another look at the history of science and offer some fresh insights into why the history of science is filled with discarded theories. I argue that the history of science is just as we should expect it to be, given the following two facts about science: theories are always only partial representations of the world, and almost inevitably scientists will be led to investigate phenomena that the accepted theory is not fit to account for. Together these facts suggest (...) that most scientific theories are apt to be discarded sometime, superseded by new theories that better serve scientists’ new research interests. Consequently, it is reasonable to expect that many of the theories we currently accept, despite their many impressive successes, will be discarded sometime in the future. But I also argue that discarded theories are not always aptly characterized as a sign of failure or as a sign of some sort of shortcoming with science. Theories are discarded because scientists are making advances in their pursuit of knowledge. Thus, discarded theories are often a sign of the good health of science. Scientists are responding to their changing research interests. (shrink)

This article deals with the grounds for accepting or rejecting the insights of mystics. We examine the social-epistemological question of what the non-mystic should make of the mystic's claim, and what she might be able to make of it, given various possible states of the evidence available to her.For clarity, let's reserve the term “mystic” for one who claims to have had an ineffable insight. As such, there are two parts to the mystic's claim: first, a substantive insight into the (...) way the world works; second, a meta-insight that the substantive insight is ineffable. The two parts to the claim are independent: it is possible to accept that the mystic has been struck by an ineffable idea, but refuse to lend credence to the idea itself. Similarly, it is possible to accept the mystic's claim that she has had a veridical insight, whilst denying her claim that it is ineffable, or that she can know that it's ineffable. Thus, we could inquire into the grounds for accepting either part of the mystic's conjunctive claim. In this article, we deal only with the grounds for rejecting or accepting the substantive insight of a mystic, granting the meta-insight that the insight is ineffable. (shrink)

Among philosophers of mind, it is common to assume that at least some mental properties are functional in nature, and that functional properties are second-order properties. In the functionalist literature, the notion of being a second-order property is cashed out in three different ways: (i) in terms of semantic features of characterizations or definitions of properties, (ii) in terms of syntactic features of second-order quantification, and (iii) in terms of a metaphysical criterion, according to which properties are second order if (...) they are properties of first-order properties. It is shown that in the context of functionalism reference to these interpretations is misguided, and it is suggested that the notion of an ordering of properties in this context is best understood as being tied to dependence-relations. (shrink)

In the 1960s and 1970s, Hilary Putnam articulated a notion of relativized apriority that was motivated to address the problem of scientific change. This paper examines Putnam’s account in its historical context and in relation to contemporary views. I begin by locating Putnam’s analysis in the historical context of Quine’s rejection of apriority, presenting Putnam as a sympathetic commentator on Quine. Subsequently, I explicate Putnam’s positive account of apriority, focusing on his analysis of the history of physics and geometry. In (...) the remainder of the paper, I explore connections between Putnam’s account of relativized a priori principles and contemporary views. In particular, I situate Putnam’s account in relation to analyses advanced by Michael Friedman, David Stump, and William Wimsatt. From this comparison, I address issues concerning whether a priori scientific principles are appropriately characterized as “constitutive” or “entrenched”. I argue that these two features need to be clearly distinguished, and that only the constitutive function is essential to apriority. By way of conclusion, I explore the relationship between the constitutive function of a priori principles and entrenchment. (shrink)

Computational modeling plays an increasingly important explanatory role in cases where we investigate systems or problems that exceed our native epistemic capacities. One clear case where technological enhancement is indispensable involves the study of complex systems.1 However, even in contexts where the number of parameters and interactions that define a problem is small, simple systems sometimes exhibit non-linear features which computational models can illustrate and track. In recent decades, computational models have been proposed as a way to assist us in (...) understanding emergent phenomena. (shrink)

: I argue that a response‐dependence account of a concept can yield metaphysical results, and not merely epistemological or semantical results, which has been a prevalent view in the literature on response‐dependence. In particular, I show how one can argue for a conferralist account of a certain property by arguing that the concept of the property is response‐dependent, if certain assumptions are made.

I argue that a response‐dependence account of a concept can yield metaphysical results, and not merely epistemological or semantical results, which has been a prevalent view in the literature on response‐dependence. In particular, I show how one can argue for a conferralist account of a certain property by arguing that the concept of the property is response‐dependent, if certain assumptions are made.

In the process of scientific discovery, knowledge ampliation is pursued by means of non-deductive inferences. When ampliative reasoning is performed, probabilities cannot be assigned objectively. One of the reasons is that we face the problem of the unconceived alternatives: we are unable to explore the space of all the possible alternatives to a given hypothesis, because we do not know how this space is shaped. So, if we want to adequately account for the process of knowledge ampliation, we need to (...) develop an account of the process of scientific discovery which is not exclusively based on probability calculus. We argue that the analytic view of the method of science advocated by Cellucci is interestingly suited to this goal, since it rests on the concept of plausibility. In this perspective, in order to account for how probabilities are in fact assigned in uncertain contexts and knowledge ampliation is really pursued, we have to take into account plausibility-based considerations. (shrink)

The paper proposes a synthesis between human scientists and artificial representation learning models as a way of augmenting epistemic warrants of realist theories against various anti-realist attempts. Towards this end, the paper fleshes out unconceived alternatives not as a critique of scientific realism but rather a reinforcement, as it rejects the retrospective interpretations of scientific progress, which brought about the problem of alternatives in the first place. By utilising adversarial machine learning, the synthesis explores possibility spaces of available evidence for (...) unconceived alternatives providing modal knowledge of what is possible therein. As a result, the epistemic warrant of synthesised realist theories should emerge bolstered as the underdetermination by available evidence gets reduced. While shifting the realist commitment away from theoretical artefacts towards modalities of the possibility spaces, the synthesis comes out as a kind of perspectival modelling. (shrink)

Over the course of three books—Wandering Significance, Physics Avoidance, and most recently Imitation of Rigor—Mark Wilson seeks to rectify what he takes to be a century of error regarding analytic philoso-phy’s understanding of scientific theorizing. This is largely framed in terms of a sustained attack on what Wilson terms ‘theory T thinking’, which he uses to refer to a melange of philosophical tendencies that he argues fail to do justice to the nuances of how world–theory relations are forged in the (...) physical sciences. In its place, Wilson puts forward an intricate account of the shifting explanatory strategies scientists and mathematicians utilize, strategies that result in the morphing of the semantic import of our scientific terms. In the aftermath an important question emerges: what is to become of scientific realism? Despite numerous pronunciations of his own ‘stout’ realist stance, it remains unclear what Wilson’s position might actually entail. -/- I first sketch Wilson’s disputes with theory T thinking and demonstrate how his rejection of the main tenets of most contemporary realist accounts leaves a question as to what his own realist avowals could mean, further arguing that these are largely attempts to distance himself from any whiff of neo-Kantianism. In the remainder of the article, I turn to discuss a neo-Kantian account that I argue is both complementary to Wilson’s viewpoint and provides a foundation for a post-theory T realism: Ernst Cassirer’s account of concept-formation in the natural sciences. By fleshing out Cassirer’s notion of the transformation of the given and the particular role he attributes to theoretical idealization, I reconstruct his account in a way that draws out a number of fruitful parallels between his philosophy and Wilson’s. The upshot is that a post-theory T scientific realism can plausibly be brought into line with neo-Kantian conceptions. (shrink)

En este artículo se plantean las siguientes preguntas: primero, ¿es Peirce un realista científico? Segundo, ¿han sido relevantes las ideas de Peirce para la defensa contemporánea del realismo científico? Y tercero, ¿está el realismo científico peirceano comprometido con una metafísica de la ciencia? La respuesta a tales preguntas es positiva. En el argumento se apela tanto a consideraciones de los manuscritos de Peirce como al debate contemporáneo sobre realismo científico. Luego de algunas observaciones introductorias en la primera sección, se expone (...) brevemente en la segunda sección el realismo científico en la versión de Psillos. En la siguiente sección se argumenta que la noción de abducción peirceana ha resultado crucial en la defensa contemporánea del realismo científico. En la cuarta se exponen algunos lineamientos de la metafísica de la ciencia del realismo científico peirceano, a saber, de creencia natural y ley de la naturaleza. En la quinta sección son resumidas las razones principales expuestas en este artículo para sostener que Peirce es un realista científico cuyas ideas han resultado de vital importancia en el debate actual. (shrink)

Richard Boyd and Nicholas Sturgeon develop distinctive naturalistic arguments for scientific realism and moral realism. Each defends a realist position by an inference to the best explanation. In this paper, I suggest that these arguments for realism should be reformulated, with the law of likelihood replacing inference to the best explanation. The resulting arguments for realism do not work.

This paper develops a means–end analysis of an inductive problem that arises in particle physics: how to infer from observed reactions conservation principles that govern all reactions among elementary particles. I show that there is a reliable inference procedure that is guaranteed to arrive at an empirically adequate set of conservation principles as more and more evidence is obtained. An interesting feature of reliable procedures for finding conservation principles is that in certain precisely defined circumstances they must introduce hidden particles. (...) Among the reliable inductive methods there is a unique procedure that minimizes convergence time as well as the number of times that the method revises its conservation principles. Thus the aims of reliable, fast and steady convergence to an empirically adequate theory single out a unique optimal inference for a given set of observed reactions—including prescriptions for when exactly to introduce hidden particles. (shrink)

Structural realism has been suggested as the best compromise in the debate on scientific realism. It proposes that we should be realist about the relational structure of the world, not its nature. However, it faces an important objection, first raised by Newman against Russell: if relations are not qualified, then the position is either trivial or collapses into empiricism, but if relations are too strongly qualified, then it is no longer SR. A way to overcome this difficulty is to talk (...) about modal, or nomological relations instead of purely extensional relations. I argue that this is insufficient, for then, SR collapses into modal empiricism. I suggest, however, that ME could be the best position in the debate on scientific realism. 1Introduction2Objections to Structural Realism3How to Escape Newman’s Objection4Which Modal Relations Are Retained in Theory Change?5Are Modal Relations Real?6Relativity and Fundamentality7Is Modal Empiricism Really Empiricism?8Could Modal Empiricism Be the Best of Both Worlds? (shrink)

In this paper I defend mathematical nominalism by arguing that any reasonable account of scientific theories and scientific practice must make explicit the empirical non-mathematical grounds on which the application of mathematics is based. Once this is done, references to mathematical entities may be eliminated or explained away in terms of underlying empirical conditions. I provide evidence for this conclusion by presenting a detailed study of the applicability of mathematics to measurement. This study shows that mathematical nominalism may be regarded (...) as a methodological approach to applicability, illuminating the use of mathematics in science. (shrink)

I was brought up to believe that, in the “great debate” with the Rationalists, the Empiricists had largely won, particularly in view of Quine's holistic conception of justification, whereby even the claims of logic, though remote from experience, are indirectly tested by it. But some years ago I awoke to the possibility that there was something fishy in all this, and that the fallibilistic banalities that have played such a large role in driving the Quinean conception couldn't plausibly have such (...) dramatic consequences. “Everything can be revised in the light of experience” is good advice for someone who hasn't noticed just how rich, complex and indirect our reasonings about any issue, including logic and mathematics, can be; but does it really tell against what Kant and the others had in mind when they believed that there were some claims whose justification needn't appeal to experience? (shrink)

This Introduction has two foci: the first is a discussion of the motivation for and the aims of the 2014 conference on New Thinking about Scientific Realism in Cape Town South Africa, and the second is a brief contextualization of the contributed articles in this special issue of Synthese in the framework of the conference. Each focus is discussed in a separate section.

In his (1978) and parts of (1993), Philip Kitcher advances a new context-sensitive theory of reference which he applies to abandoned theoretical expression-types, such as Joseph Priestley’s ‘dephlogisticated air’, in order to show that, although qua types they fail to refer uniformly, they nonetheless have referential tokens. This piece offers a critical examination of Kitcher’s theory. After a general investigation into the overall adequacy of Kitcher’s theory as a general account of reference, I focus on the case of abandoned theoretical (...) terms. Kitcher’s theory is meant to be able to evaluate and solve disputes about referential continuity and progress in scientific theorychange. To this end, Kitcher employs the principle of humanity and a notion of the “correct historical explanation” of the production of each expression-token. I argue that the application of the principle of humanity does not offer a principled way to show that the historical actors were involved in different modes of reference when they produced different tokens of an expressiontype. I also suggest that the principle of humanity, coupled with Kitcher’s view that tokens of expression-types may systematically refer to different things, makes conceptual progress too easy and thus uninteresting. (shrink)

The paper reconstructs Moore's Open Question Argument (OQA) and discusses its rise and fall. There are three basic objections to the OQA: Geach's point, that Moore presupposes that ?good? is a predicative adjective (whereas it is in fact attributive); Lewy's point, that it leads straight to the Paradox of Analysis; and Durrant's point that even if 'good' is not synonymous with any naturalistic predicate, goodness might be synthetically identical with a naturalistic property. As against Geach, I argue that 'good' has (...) both predicative and attributive uses and that in moral contexts it is difficult to give a naturalistic account of the attributive 'good'. To deal with Lewy, I reformulate the OQA. But the bulk of the paper is devoted to Durrant's objection. I argue that the post-Moorean programme of looking for synthetic identities between moral and naturalistic properties is either redundant or impossible. For it can be carried through only if 'good' expresses an empirical concept, in which case it is redundant since naturalism is true. But 'good' does not express an empirical concept (a point proved by the reformulated OQA). Hence synthetic naturalism is impossible. I discuss direct reference as a possible way out for the synthetic naturalist and conclude that it will not work. The OQA may be a bit battered but it works after a fashion. (shrink)

The no-miracles argument (Putnam, 1975) holds that science is successful because successful theories are (approximately) true. Frost-Arnold (2010) objects that this argument is unacceptable because it generates neither new predictions nor unifications. It is similar to the unacceptable explanation that opium puts people to sleep because it has a dormative virtue. I reply that on close examination, realism explains not only why some theories are successful but also why successful theories exist in current science. Therefore, it unifies the disparate phenomena.

According to realists, theories are successful because they are true, but according to selectionists, theories are successful because they have gone through a rigorous selection process. Wray claims that the realist and selectionist explanations are rivals to each other. Lee objects that they are instead complementary to each other. In my view, Lee’s objection presupposes that the realist explanation is true, and thus it begs the question against selectionists. By contrast, the selectionist explanation invokes a scientific theory, and thus it (...) is not clear whether it is a realist explanation or an antirealist explanation. Finally, the six new arguments for scientific realism in the literature truly complement the no-miracles argument. (shrink)

Van Fraassen explains rejections and asymmetries in science in terms of his contextual theory of explanation in the same way that scientists explain observable phenomena in the world in terms of scientific theories. I object that van Fraassen’s skeptical view regarding inference to the best explanation together with the English view of rationality jointly imply that the contextual theory is not rationally compelling, so van Fraassen and his epistemic colleagues can rationally disbelieve it. Prasetya replies that the truth of the (...) contextual theory coincides with its empirical adequacy, so the contextual theory is compelling. He also replies that the contextual theory is compelling, provided that van Fraassen’s argument for it instantiates a compelling subset of IBE. I argue that Prasetya’s replies either fail or help scientific realism. (shrink)

Evolutionary theory coheres with its neighboring theories, such as the theory of plate tectonics, molecular biology, electromagnetic theory, and the germ theory of disease. These neighboring theories were previously unconceived, but they were later conceived, and then they cohered with evolutionary theory. Since evolutionary theory has been strengthened by its several neighboring theories that were previously unconceived, it will be strengthened by infinitely many hitherto unconceived neighboring theories. This argument for evolutionary theory echoes the problem of unconceived alternatives. Ironically, however, (...) the former recommends that we take the realist attitude toward evolutionary theory, while the latter recommends that we take the antirealist attitude toward it. (shrink)

There have been attempts to derive anti-haeccetistic conclusions from the fact that quantum mechanics (QM) appeals to non-standard statistics. Since in fact QM acknowledges two kinds of such statistics, Bose-Einstein and Fermi-Dirac, I argue that we could in the same vein derive the sharper anti-haeccetistic conclusion that bosons are bundles of tropes and fermions are bundles of universals. Moreover, since standard statistics is still appropriate at the macrolevel, we could also venture to say that no anti-haecceitistic conclusion is warranted for (...) ordinary objects, which could then tentatively be identified with substrates. In contrast to this, however, there has been so far no acknowledgement of the possibility of inclusivism, according to which ontological accounts of particulars as widely different as those can possibly coexist in one world picture. The success of the different statistics in physics at least calls for a revision in this respect. (shrink)

I discuss changes of perspective of four kinds in science and about science. Section 2 defends a perspectival nonrealism—something akin to Giere’s perspectival realism but not a realism—against the idea of complete, “Copernican” objectivity. Section 3 contends that there is an inverse relationship between epistemological conservatism and scientific progress. Section 4 casts doubt on strong forms of scientific realism by taking a long-term historical perspective that includes future history. Section 5 defends a partial reversal in the status of so-called context (...) of discovery and context of justification. Section 6 addresses the question of how we can have scientific progress without scientific realism—how progress is possible without the accumulation of representational truth. The overall result is a pragmatic instrumentalist perspective on the sciences and how to study them philosophically, one that contains a kernel of realism—instrumental realism. (shrink)

The No-Miracles Argument (NMA) is often used to support scientific realism. We can formulate this argument as an inference to the best explanation this accusation of circularity by appealing to reliabilism, an externalist epistemology. In this paper I argue that this retreat fails. Reliabilism suffers from a potentially devastating difficulty known as the Generality Problem and attempts to solve this problem require adopting both epistemic and metaphysical assumptions regarding local scientific theories. Although the externalist can happily adopt the former, if (...) he adopts the latter then the Generality Problem arises again, but now at the level of scientific methodology. Answering this new version of the Generality Problem is impossible for the scientific realist without making the important further assumption that there exists the possibility of a unique rule of Doing this however would make the NMA viciously premise circular. (shrink)

Throughout his philosophical career, Hilary Putnam was preoccupied with the question of what survives of the traditional notion of a priori truth in light of the recurring historical phenomenon, made prominent by the scientific revolutions of the early decades of the twentieth century, through which “something that was literally inconceivable has turned out to be true”. Impugning the analytic-synthetic dichotomy, Putnam’s redefinition of “conceptual truth” in terms of “quasi-necessity relative to a conceptual scheme” is meant to accommodate the possibility of (...) transitions of just this sort. In this essay, I trace the origins and development of Putnam’s account of “quasi-necessity.” I try to defend it against some objections naturally arising in connection with the interplay of modality and negation. My main contention is that the main tenets of Putnam’s semantic externalism inform his reconception of conceptual truth, and that they must be recognized to hold of such basic logical notions as those of judgment and negation. (shrink)

Legally defining “death” in terms of brain death unacceptably obscures a value judgment that not all reasonable people would accept. This is disingenuous, and it results in serious moral flaws in the medical practices surrounding organ donation. Public policy that relies on the whole-brain concept of death is therefore morally flawed and in need of revision.

I discuss the relevance of the current predicament in cosmology to the debate over scientific realism. I argue that the existence of two, empirically successful but ontologically inconsistent cosmological theories presents difficulties for the realist position.

I argue that some important elements of the current cosmological model are 'conventionalist’ in the sense defined by Karl Popper. These elements include dark matter and dark energy; both are auxiliary hypotheses that were invoked in response to observations that falsified the standard model as it existed at the time.

(1988). The explanative recourse to realism. International Studies in the Philosophy of Science: Vol. 3, No. 1, pp. 2-18. doi: 10.1080/02698598808573321.

Philosophy of mathematics for the last half-century has been dominated in one way or another by Quine’s indispensability argument. The argument alleges that our best scientific theory quantifies over, and thus commits us to, mathematical objects. In this paper, I present new considerations which undermine the most serious challenge to Quine’s argument, Hartry Field’s reformulation of Newtonian Gravitational Theory.

Reviewing the state of play in the attempt to naturalise content a quarter of a century after John Haugeland’s survey paper “The Intentionality All-Stars”, Dan Hutto and Glenda Satne propose a new naturalistic account of content that supposedly synthesizes what is best in the three failed programs of neo-Cartesianism, neo-Behaviourism and neo-Pragmatism. They propose to appeal to a Relaxed Naturalism, a non-reductive genealogical form of explanation and a primitive notion of contentless ur-intentionality. In this paper I argue that the authors’ (...) Relaxed Naturalism is a broad form of Scientific Naturalism and, as such, it is unable to account for the problem of conceptual normativity that arises for any scientific naturalist attempt to explain content – whether reductive or not. This is based on the irreconcilability of the objective third-personal character of scientific inquiry and the intersubjective second-personal nature of the normativity of content. I suggest that the authors would do better to simply become neo-Pragmatists who, properly understood, are Liberal Naturalists who have the conceptual and methodological resources to acknowledge and do justice to conceptually normative content. (shrink)

This paper develops an account of scientific objectivity for a relativist theory of evidence. It briefly reviews the character and shortcomings of empiricist and wholist treatments of theory acceptance and objectivity and argues that the relativist account of evidence developed by the author in an earlier essay offers a more satisfactory framework within which to approach questions of justification and intertheoretic comparison. The difficulty with relativism is that it seems to eliminate objectivity from scientific method. Reconceiving objectivity as a function (...) of the social character of science, rather than of individually practiced methods, allows us to claim that science is objective even if relativism is true, and provides a more realistic account of scientific objectivity than is possible on either the empiricist or the wholist accounts. (shrink)

Much recent discussion in the philosophy of mathematics has concerned the indispensability argument—an argument which aims to establish the existence of abstract mathematical objects through appealing to the role that mathematics plays in empirical science. The indispensability argument is standardly attributed to W. V. Quine and Hilary Putnam. In this paper, I show that this attribution is mistaken. Quine's argument for the existence of abstract mathematical objects differs from the argument which many philosophers of mathematics ascribe to him. Contrary to (...) appearances, Putnam did not argue for the existence of abstract mathematical objects at all. I close by suggesting that attention to Quine and Putnam's writings reveals some neglected arguments for platonism which may be superior to the indispensability argument. (shrink)

Lipton contends that the no-miracle argument is illegitimate, because it fails to adduce new evidence beyond that cited by scientists for their theories. The debate on this issue between Lipton and Psillos has focussed on whether there is a construal of the no-miracle argument in relation to first-order scientific inferences that can yield new evidence. I move away from this focus without taking sides, and argue that the no-miracle argument, on its two popular interpretations, is as legitimate, cogent, and useful (...) an inductive argument for scientific realism as first-order scientific inferences to the best explanation even if it does not add to scientific evidence. (shrink)

The first half of this book consists of Michael Friedman’s Kant Lectures in essentially the form in which they were delivered at Stanford University in 1999. In the second half, “Fruits of Discussion,” Friedman elaborates, refines, and defends the central ideas of these lectures. Taken together, these halves form an eminently readable, slim, yet rich and ambitious volume. It proves our fullest account to date not only of Friedman’s neo-Kantian, historicized, dynamical conception of relativized a priori principles of mathematics and (...) physics, but also of the pivotal role that Friedman sees philosophy as playing in making scientific revolutions rational. (shrink)

A standard formalization of a scientific theory is a system of axioms for that theory in a first-order language (possibly many-sorted; possibly with the membership primitive $$\in$$ ). Suppes (in: Carvallo M (ed) Nature, cognition and system II. Kluwer, Dordrecht, 1992) expressed skepticism about whether there is a “simple or elegant method” for presenting mathematicized scientific theories in such a standard formalization, because they “assume a great deal of mathematics as part of their substructure”. The major difficulties amount to these. (...) First, as the theories of interest are mathematicized, one must specify the underlying applied mathematics base theory, which the physical axioms live on top of. Second, such theories are typically geometric, concerning quantities or trajectories in space/time: so, one must specify the underlying physical geometry. Third, the differential equations involved generally refer to coordinate representations of these physical quantities with respect to some implicit coordinate chart, not to the original quantities. These issues may be resolved. Once this is done, constructing standard formalizations is not so difficult—at least for the theories where the mathematics has been worked out rigorously. Here we give what may be claimed to be a simple and elegant means of doing that. This is for mathematicized scientific theories comprising differential equations for $$\mathbb{R}$$ -valued quantities Q (that is, scalar fields), defined on n (“spatial” or “temporal”) dimensions, taken to be isomorphic to the usual Euclidean space $$\mathbb{R}^n$$. For illustration, I give standard (in a sense, “text-book”) formalizations: for the simple harmonic oscillator equation in one-dimension and for the Laplace equation in two dimensions. (shrink)

The central motivation behind the scientific realism debate is explaining the impressive success of scientific theories. The debate has been dominated by two rival types of explanations: the first relies on some sort of static, referentially transparent relationship between the theory and the unobservable world, such as truthlikeness, representation, or structural similarity; the second relies on no robust relationship between the theory and unobservable reality at all, and instead draws on predictive similarity and the stringent methodology of science to explain (...) success. I argue that this is a false dichotomy, at least insofar as dynamical theories are concerned. The best explanation of the success of dynamical theories, I argue, must appeal to a robust but referentially opaque theory–world relation. The dynamical notion of ‘tracking’ fulfills this promise. I formulate a modified no miracles argument that is liberated from the false dichotomy and show how tracking responds to the modified argument. (shrink)

In this paper, I will show that the Miracle Argument is unsound if one assumes a certain form of transient underdetermination. For this aim, I will first discuss and formalize several variants of underdetermination, especially that of transient underdetermination, by means of measure theory. I will then formalize a popular and persuasive form of the Miracle Argument that is based on "use novelty". I will then proceed to the proof that the miracle argument is unsound by means of a mathematical (...) example. Finally, I will expose two hidden presuppositions of the Miracle Argument that make it so immensely though deceptively persuasive. (shrink)

An attempt was made to show how we can plausibly commit to mathematical realism. For the purpose of illustration, a defence of natural realism for arithmetic was developed that draws upon the American pragmatist’s, Hillary Putnam’s, early and later writings. Natural realism is the idea that truth is recognition-transcendent and knowable. It was suggested that the natural realist should embrace, globally, what N. Tennant has identified as M-realism (Tennant 1997, 160). M-realism is the idea that one rejects bivalence and assents (...) to the recognition-transcendent requirement. It was argued that over-all—for all domains—the natural realist should be a M-realist, with the aim of clarifying the realist debate for arithmetic. (shrink)

In this paper I will take into examination the relevance of the main indispensability arguments for the comprehension of the applicability of mathematics. I will conclude not only that none of these indispensability arguments are of any help for understanding mathematical applicability, but also that these arguments rather require a preliminary analysis of the problems raised by the applicability of mathematics in order to avoid some tricky difficulties in their formulations. As a consequence, we cannot any longer consider the applicability (...) problems as subordinate to ontological ones: no ontological stance on mathematical entities can offer an easy road to the comprehension of the applicability of mathematics. (shrink)