The interpretation of tests of a point null hypothesis against an unspecified alternative is a classical and yet unresolved issue in statistical methodology. This paper approaches the problem from the perspective of Lindley's Paradox: the divergence of Bayesian and frequentist inference in hypothesis tests with large sample size. I contend that the standard approaches in both frameworks fail to resolve the paradox. As an alternative, I suggest the Bayesian Reference Criterion: it targets the predictive performance of the null hypothesis in (...) future experiments; it provides a proper decision-theoretic model for testing a point null hypothesis and it convincingly accounts for Lindley's Paradox. (shrink)

Karl Popper and Friedrich von Hayek became close friends soon after they first met in the early 1930s. Ever since, they discussed their ideas intensively on many occasions. But even though an analysis of the origins and contents of their ideas and correspondence reveals a number of important and fundamental differences, they rarely criticize each other in their published work. The article analyzes in particular the different ideas they have on the role of reason in society and on rationalism and (...) the roots of these differences. Popper’s “Towards a Rational Theory of Tradition” of 1948 contains a criticism of Hayek’s idea—published, for instance, in “Individualism: True and False” of 1945—that we must accept tradition without trying to change it. An analysis of the differences between the two authors touches on topics such as the possibility of public intervention in society, the role of social science in this, the methodology of social science, and the differences between liberalism and social democracy. The article concludes with some possible explanations for Popper and Hayek downplaying their differences in public. The fact remains that they never resolved the tension between Popper’s critical rationalism and Hayek’s conservative rationalism. (shrink)

Karl Popper's methodology highlights our scientific ignorance: hence the need to institutionalize open‐mindedness through controlled experiments that may falsify our fallible theories about the world. In his endorsement of “piecemeal social engineering,” Popper assumes that the social‐democratic state and its citizens are capable of detecting social problems, and of assessing the results of policies aimed at solving them, through a process of experimentation analogous to that of natural science. But we are not only scientifically but politically ignorant: ignorant of the (...) facts that underpin political debate, which are brought to our attention by theories that, as Max Weber emphasized, can be tested only through counterfactual thought experiments. Public‐opinion and political‐psychology research suggest that human beings are far too unaware, illogical, and doctrinaire to conduct the rigorous theorizing that would be necessary to make piecemeal social engineering work. F.A. Hayek realized that the public could not engage, specifically, in piecemeal economic regulation but failed to draw the conclusion that this was due to a specific type of political ignorance: ignorance of economic theory. (shrink)

More than many other Austrians, Mises tried to found aprioristic methodology on a well defined and developed epistemology. Although references to Kant are scattered rather unsystematically throughout his works, he nevertheless used an unequivocal Kantian terminology. He explicitly defended the existence of ‘a priori knowledge’, ‘synthetic a priori propositions’, ‘the category of action’, and so forth.

Selectionist evolutionary theory has often been faulted for not making novel predictions that are surprising, risky, and correct. I argue that it in fact exhibits the theoretical virtue of predictive capacity in addition to two other virtues: explanatory unification and model fitting. Two case studies show the predictive capacity of selectionist evolutionary theory: parallel evolutionary change in E. coli, and the origin of eukaryotic cells through endosymbiosis.

What has science actually achieved? A theory of achievement should define what has been achieved, describe the means or methods used in science, and explain how such methods lead to such achievements. Predictive accuracy is one truth‐related achievement of science, and there is an explanation of why common scientific practices tend to increase predictive accuracy. Akaike’s explanation for the success of AIC is limited to interpolative predictive accuracy. But therein lies the strength of the general framework, for it also provides (...) a clear formulation of many open problems of research. (shrink)

Judgment aggregation problems are language dependent in that they may be framed in different yet equivalent ways. We formalize this dependence via the notion of translation invariance, adopted from the philosophy of science, and we argue for the normative desirability of translation invariance. We characterize the class of translation invariant aggregation functions in the canonical judgment aggregation model, which requires collective judgments to be complete. Since there are reasonable translation invariant aggregation functions, our result can be viewed as a possibility (...) theorem. At the same time, we show that translation invariance does have certain normatively undesirable consequences (e.g. failure of anonymity). We present a way of circumventing them by moving to a more general model of judgment aggregation, one that allows for incomplete collective judgments. (shrink)

The theoretical system Lyell presented in 1830 was composed of three requirements or principles: 1) the Uniformity Principle which states that past geological events must be explained by the same causes now in operation; 2) the Uniformity of Rate Principle which states that geological laws operate with the same force as at present; 3) the Steady-state Principle which states that the earth does not undergo any directional change. The three principles form a single thesis called uniformitarianism which has been repeatedly (...) questioned and which has been reputed to be unable to face the competing directional synthesis based on the theory of the earth's cooling down. As a result, the significance of Lyell's system has been reduced to a simple actualism which admits the validity of the only Uniformity Principle. I believe that the only way to understand Lyell's role in the history of science is to maintain the unity of his synthesis. To show the Newtonian roots of this synthesis I will compare Lyell's principles and Newton's Rules of Reasoning. I will conclude with an analysis of the methodological function of principles in Lyell's scientific endeavour. (shrink)

In this paper, I critically examine Harre and Madden's attempt, largely as it occurs in their Causal Powers, to secure for causes and laws of nature a kind of necessity which although consistent with commonsensical empiricism and anti-idealistic philosophy of science nevertheless runs counter to the humean-positivistic tradition, which denies the existence of any distinctively "natural" or causal necessity. In the course of the paper, I reveal the multifarious nature of their account and show that each part of that account, (...) commonsensical or ontological, is inadequate. I indicate as well how the multifarious nature of the account allows and even encourages an evasive shifting about in the face of adversity, which shifting no doubt contributes to whatever illusion of adequacy is present in their treatment. (shrink)

This paper was written with two aims in mind. A large part of it is just an exposition of Tarski's theory of truth. Philosophers do not agree on how Tarski's theory is related to their investigations. Some of them doubt whether that theory has any relevance to philosophical issues and in particular whether it can be applied in dealing with the problems of philosophy (theory) of science.In this paper I argue that Tarski's chief concern was the following question. Suppose a (...) language L belongs to the class of languages for which, in full accordance with some formal conditions set in advance, we are able to define the class of all the semantic interpretations the language may acquire. Every interpretation of L can be viewed as a certain structure to which the expressions of the language may refer. Suppose that a specific interpretation of the language L was singled out as the intended one. Suppose, moreover, that the intended interpretation can be characterized in a metalanguage L +. If the above assumptions are satisfied, can the notion of truth for L be defined in the metalanguage L + and, if it can, how can this be done? (shrink)

Patrick D Walsh; Open and Loaded Uses of ‘Education’—and objectivism, Journal of Philosophy of Education, Volume 22, Issue 1, 30 May 2006, Pages 23–35, https://.

The use of null hypothesis significance testing (NHST) in psychology has been under sustained attack, despite its reliable use in the notably successful, so-called "hard" areas of psychology, such as perception and cognition. I argue that, in contrast to merely methodological analyses of hypothesis testing (in terms of "test severity," or other confirmation-theoretic notions), only a patently metaphysical position can adequately capture the uneven but undeniable successes of theories in "hard psychology." I contend that Measured Realism satisfies this description, and (...) characterizes the role of NHST in hard psychology. (shrink)

The thesis of this paper is that in dealing with problems of "mind," the philosopher of mind needs to be as well grounded in his relevant sciences (e.g. psychology, anthropology) as the philosopher of the physical sciences needs to be grounded in his relevant sciences (e.g. physics). The thesis of this paper is also that the psychological analysis of solipsism and the philosophical analysis are not independent (or at least not independent in all of their aspects), and that therefore the (...) psychological analysis sheds light on the philosophical, and vice versa. It is argued that solipsism is untenable on at least two grounds: because (1) there are no such physical phenomena as acts of "immediate perception," and because (2), that there can be no such thing as an "individual mind" without some form of a "group mind.". (shrink)

Wilfred Carr; Can Educational Research be Scientific?, Journal of Philosophy of Education, Volume 17, Issue 1, 30 May 2006, Pages 35–43, https://doi.org/10.1111.

In this four part exchange, Evan Selinger starts by stating that Collins’s empirical evidence in respect of linguistic socialization and its bearing on artificial intelligence and expertise is valuable; it advances philosophical and sociological understanding of the relationship between knowledge and language. Nevertheless, he argues that Collins mischaracterizes the data under review and thereby misrepresents how knowledge is acquired and understates the extent to which expert knowers are embodied. Selinger reconstructs the case for the importance of the body in the (...) initial acquisition of language and challenges Collins to show how a disembodied entity could become fluent in any language at all.Collins responds by accepting that his approach does not demonstrate quite as much about the irrelevance of the body as he thought it did but that even though he accepts all of Selinger’s claims, ‘the body’ as needed by the philosophical approach set out by Selinger is still a vestigial thing. Collins’s main point, however, is that the philosophical view of the body—the world is divided into embodied agents and unembodied entities—distracts attention from the more interesting empirically researchable question of how the ability to become socialized diminishes, if it does, as the body become more and more minimal. The right research question is not about whether a person can extrapolate from minimal sensory input but how much extrapolation is possible under different circumstances and how it is done.Dreyfus, having seen the whole of the exchange so far, agrees that both have a point but argues that Collins’s approach still misses the well established importance of bodily engagement for full understanding.Collins responds to this by trying to set out more clearly the position associated with the idea of interactional expertise.Keywords: Interactional expertise; Phenomenology; Turing test; Embodiment; Tacit knowledge; Socialization. (shrink)

Psychological-epistemic accounts take scientific progress to consist in the development of some psychological-epistemic attitude. Disagreements over what the relevant attitude is – true belief, knowledge, or understanding – divide proponents of the semantic, epistemic, and noetic accounts of scientific progress, respectively. Proponents of all such accounts face a common challenge. On the face of it, only individuals have psychological attitudes. However, as I argue in what follows, increases in individual true belief, knowledge, and understanding are neither necessary nor sufficient for (...) scientific progress. Rather than being fatal to the semantic, epistemic, and noetic accounts, this objection shows that these accounts are most plausible when they take the psychological states relevant to scientific progress to be states of communities, rather than individuals. I draw on recent work in social epistemology to develop two ways in which communities can be the bearers of irreducible psychological-epistemic states. Each way yields a strategy by which proponents of one of the psychological-epistemic accounts might attempt to account for the social dimensions of scientific progress. While I present serious reasons for concern about the first strategy, I argue that the second strategy, at least, offers a promising path forward for a psychological-epistemic account of scientific progress. (shrink)

Philosophy of science pays meagre attention to the social sciences and humanities. It deals with basic questions in the natural sciences like Hempel, or general epistemology like e.g. Putnam and Kripke. Popper is the main exception.

What does it mean to be irresponsible in developing or using a technology? There are two fundamentally different answers to this question and they each generate research strands that differ in scope, style and applicability. To capture this difference, I make use of two mythical creatures of Jewish origin that have been employed in the past to represent relationships between man and man-made entities: the Golem (Collins and Pinch, 2002, 2005 ) and the Leviathan (Hobbes, 1994 ). The Golem is (...) the traditional image of technology as a creature that can be helpful but needs to be controlled. Irresponsibility in this perspective is the failure to exercise control. The Leviathan is the image of technology as a difficult compromise between fundamental values. Irresponsibility is in this perspective is allowing some values to systematically dominate others. Having worked out the basics of these images, I show that each comes with its specific methodological challenges: where the Golem gives rise to the Collingridge Dilemma of control, the Leviathan gives rise to Münchhausen’s trilemma of justification. Since the Golem image is predominant in scholarship on irresponsibility, I conclude with an appeal for a more equal distribution of efforts in conceptualizing technologies as Golems and as Leviathans. (shrink)

The covid-19 pandemic and the increasingly polarized political situation in many countries today have highlighted the significance of various humanly natural intellectual mistakes, cognitive biases, and widespread inferential errors. This essay examines, at a philosophical meta-level, the relation between our natural epistemic errors and the kind of humanly unavoidable transcendental illusion analyzed by Immanuel Kant in the Transcendental Dialectic of the First Critique. While both kinds of illusion are usually primarily discussed in an epistemological context, my approach is not exclusively (...) epistemic. Rather, my main argument extends the broadly Kantian critique of reason – as a critical via negativa focusing on what is epistemically “wrong” about us, as the kind of cognitive agents we human beings naturally are – into a pragmatically enriched investigation of “the negative” as constitutive of the human condition, that is, our lack of sufficiently critical epistemic and ethical capacities, including our propensity to both cognitive error and moral evil. Our being inescapably inclined to manifest such negativities in our epistemic and ethical lives, and our insufficient awareness of doing so, are, arguably, “transcendental facts” about us, to be critically examined in terms of a Kantian-cum-pragmatist philosophical anthropology. This significantly enriches our picture of transcendental philosophy. (shrink)

The paper addresses the topic of the unavoidability of contradiction in dealing with issues of scepticism – and how coherence can be restored to sceptical arguments and texts. It considers six classic paradoxes in the history of Western thought – of how language works to undermine and derail the coherence of thought. It also theorizes a philosophy of language approach to restore coherence in the classic instances discussed. As its major example, the paper explores how and why the image of (...) successful, long-standing constitutions is a minimalist image through a discussion of the relationship between epistemological scepticism generally and textual scepticism specifically. (shrink)

Rorty saw the course of philosophy in the twentieth century as an effort to part from two major philosophical trends, namely historicism and naturalism, only to inevitably return at the end of a tortuous path to these very same tendencies. If we can concede without major objections Rorty’s diagnosis of the trends in contemporary continental and analytical philosophy, which seem to reveal the exhaustion of modern philosophy, based as it has been on epistemology, we must, on the other hand, examine (...) carefully the three main questions that this diagnosis leaves open: How does Rorty reconcile continental idealist subjectivism with materialistic behaviorism? Is it really inevitable that philosophy blinded by Geist are unable to question prevalent beliefs? Finally, is the acceptance of a liberalism that is not able to give reasons for itself the most effective and pragmatic liberalism? In answering these questions, it may not be possible to avoid a non-dogmatic, but pragmatic, metaphysics: a vocabulary of vocabularies that allows Rorty to speak of the problems of justice in Plato and Rawls, of the soul in Aristotle and Descartes, of the dystopias in Moro and Orwell. On pragmatic terms, perhaps a modest version of a metaphysic’s “vocabulary” turns out to be as legitimate and practical as any other vocabulary. (shrink)

Psychological-epistemic accounts take scientific progress to consist in the development of some psychological-epistemic attitude. Disagreements over what the relevant attitude is – true belief, knowledge, or understanding – divide proponents of thesemantic,epistemic,andnoeticaccounts of scientific progress, respectively. Proponents of all such accounts face a common challenge. On the face of it, only individuals have psychological attitudes. However, as I argue in what follows, increases in individual true belief, knowledge, and understanding are neither necessary nor sufficient for scientific progress. Rather than being (...) fatal to the semantic, epistemic, and noetic accounts, this objection shows that these accounts are most plausible when they take the psychological states relevant to scientific progress to be states of communities, rather than individuals. I draw on recent work in social epistemology to develop two ways in which communities can be the bearers of irreducible psychological-epistemic states. Each way yields a strategy by which proponents of one of the psychological-epistemic accounts might attempt to account for the social dimensions of scientific progress. While I present serious reasons for concern about the first strategy, I argue that the second strategy, at least, offers a promising path forward for a psychological-epistemic account of scientific progress. (shrink)

Basadas en un modelo matemático muy simple del razonamiento de sentido común, se presentan algunas reflexiones acerca de lo que podría ser pensar y razonar sin especular. Es decir, si razonar sólo fuese deducir y abducir pero sin inducir.

Bu çalışmada bilginin kazandığı doğru nitelemesi ve bilimsel bilgide doğrunun bir dogma haline gelmesi, kökenleriyle birlikte tartışılacaktır. Bu hususta Karl Popper'ın yanlışlamacı bilim imgesinin anlatıldığı bu çalışmada ikili bir yol izlenecektir. İlki; Popper'ın neye, neden karşı çıktığı üzerine, ikincisi ise bu karşı çıkış sonucunda açılan boşluğun nasıl doldurulduğudur. Dolayısıyla birinci aşama Popper açısından geleneksel imgeye yapılan bir kritik niteliğinde olurken, ikinci aşama ise Poppercı bilim imgesinin serimlendiği bölümü oluşturacaktır. Nihayetinde Popper yenilikleriyle bilimsel düşünüşe yeni bir soluk getirirken, son bölümde sisteminin (...) ne gibi eksiklikler barındırdığı tartışılacaktır. Bu eksiklikler ise Ayer ve Duhem-Quine tezi ile sırasıyla yanlışlamanın mantıksal olarak imkânsızlığı ve kuramın yanlışlanmasında holistik yaklaşımın gerekliliğini kapsayacaktır. (shrink)

When we examine the history of astronomy up to the end of the seventeenth century by considering the relation between mathematical astronomy and natural philosophy, it has been argued that there were two groups of philosophers and astronomers: instrumentalists and realists. However, this classification is deficient when we consider attitudes toward the explanatory power of mathematics in determining astronomical theories. I offer the solution of dividing realists into two subcategories—mathematical realists and physical realists. Mathematical realists include those who thought mathematics (...) could provide the real motions of celestial bodies. The physical realists, who include Ibn Rushd (Averroës), believed mathematics could not provide us with the real structure of the heavens. To avoid contradictions between the physical and mathematical models, the physical realists held that a mathematical model of the heavens should be designed by considering physics. I argue, in this article, that Francis Bacon can be considered a physical realist. (shrink)

It is widely acknowledged that metaphysical assumptions, commitments and presuppositions play an important role in science. Yet according to the empiricist there is no place for metaphysics as traditionally understood in the scientific enterprise. In this paper I aim to take a first step towards reconciling these seemingly irreconcilable claims. In the first part of the paper I outline a conception of metaphysics and its relation to science that should be congenial to empiricists, motivated by van Fraassen’s work on ‘stances’. (...) There has been a considerable amount of recent work devoted to van Fraassen’s ‘stance’ view, but it has not on the whole been noticed that the view has the potential to motivate a general empiricist conception of the relation between science and metaphysics. In the second and third sections I discuss two examples from biology to illustrate this conception: metaphysical punctuationism, and its relation to and influence on the thesis of punctuated equilibrium; and dialectical biology as defended by Levins and Lewontin. (shrink)

Let me discuss first the principal points raised in the extensive commentaries from the three invited respondents. I shall next turn to the other shorter comments in the second part of this respons...

Scientific hypotheses may either predict particular unknown facts or accommodate previously-known data. Although affirmed predictions are intuitively more rewarding than accommodations of established facts, opinions divide whether predictive hypotheses are also epistemically superior to accommodation hypotheses. This paper examines the contribution of predictive hypotheses to discoveries of several bio-molecular systems. Having all the necessary elements of the system known beforehand, an abstract predictive hypothesis of semiconservative mode of DNA replication was successfully affirmed. However, in defining the genetic code whose biochemical (...) basis was unclear, hypotheses were only partially effective and supplementary experimentation was required for its conclusive definition. Markedly, hypotheses were entirely inept in predicting workings of complex systems that included unknown elements. Thus, hypotheses did not predict the existence and function of mRNA, the multiple unidentified components of the protein biosynthesis machinery, or the manifold unknown constituents of the ubiquitin–proteasome system of protein breakdown. Consequently, because of their inability to envision unknown entities, predictive hypotheses did not contribute to the elucidation of cation theories remained the sole instrument to explain complex bio-molecular systems, the philosophical question of alleged advantage of predictive over accommodative hypotheses became inconsequential. (shrink)

How do scientific innovations spread within and across scientific communities? In this paper, we propose a general account of the diffusion of scientific innovations. This account acknowledges that novel ideas must be elaborated on and conceptually translated before they can be adopted and applied to field-specific problems. We motivate our account by examining an exemplary case of knowledge diffusion, namely, the early spread of theories of rational decision-making. These theories were grounded in a set of novel mathematical tools and concepts (...) that originated in John von Neumann and Oskar Morgenstern's Theory of Games and Economic Behavior and subsequently spread widely across the social and behavioral sciences. Introducing a network-based diffusion measure, we trace the spread of those tools and concepts into distinct research areas. We furthermore present an analytically tractable typology for classifying publications according to their roles in the diffusion process. The proposed framework allows for a systematic examination of the conditions under which scientific innovations spread within and across preexisting and newly emerging scientific communities. (shrink)

In this paper, we demonstrate how a systematic taxonomy of stances can help elucidate two classic debates of the historical turn—the Lakatos–Feyerabend debate concerning theory rejection and the Feyerabend–Kuhn debate about pluralism during normal science. We contend that Kuhn, Feyerabend, and Lakatos were often talking at cross-purposes due to the lack of an agreed upon taxonomy of stances. Specifically, we provide three distinct stances that scientists take towards theories: acceptance of a theory as the best available description of its domain, (...) use of a theory in practical applications, and pursuit (elaboration) of a theory. We argue that in the Lakatos–Feyerabend debate, Lakatos was concerned with acceptance whereas Feyerabend was mainly concerned with pursuit. Additionally, we show how Feyerabend and Kuhn’s debate on the role of pluralism/monism in normal science involved a crucial conflation of all three stances. Finally, we outline a few general lessons concerning the process of scientific change. (shrink)

Perhaps no technological innovation has so dominated the second half of the twentieth century as has the introduction of the programmable computer. It is quite difficult if not impossible to imagine how contemporary affairs—in business and science, communications and transportation, governmental and military activities, for example—could be conducted without the use of computing machines, whose principal contribution has been to relieve us of the necessity for certain kinds of mental exertion. The computer revolution has reduced our mental labors by means (...) of these machines, just as the Industrial Revolution reduced our physical labor by means of other machines. (shrink)

In Why Tolerate Religion?, Brian Leiter argues against the special legal status of religion, claiming that religion should not be the only ground for exemptions to the law and that this form of protection should be, in principle, available for the claims of secular conscience as well. However, in the last chapter of his book, he objects to a universal regime of exemptions for both religious and secular claims of conscience, highlighting the practical and moral flaws associated with it. We (...) believe that Leiter identifies a genuine and important contemporary legal and philosophical problem. We find much to admire in his reasoning. However, we raise questions about two claims that are crucial for his argument. The first claim is that it is not religion as such, but conscience that deserves toleration and respect. The second claim is that respect for religion and conscience demands ‘principled toleration’ but does not entail stronger policies of legal exemptions. Against the first claim, we argue that Leiter does not successfully distinguish religious belief from secular conscience and morality; and he does not explain why secular conscience deserves respect. Against the second claim, we argue that the most promising theories of legal exemptions are not classical theories of liberal toleration. (shrink)

The relatively recent trend seems to be to move away from General Philosophy of Science and towards the philosophies of the individual sciences and to relocate whatever content GPoS is supposed to have to the philosophies of the sciences. I argue that scepticism or pessimism about the prospects of GPoS is unwarranted. I also argue that there can be no philosophies of the various sciences without GPoS. Defending these two claims is the main target of this chapter. I will show, (...) however, that there is osmosis between GPoS and the Philosphies of the Sciences and that this osmosis is grounded on what I will call‘Science in general’ and the two important functions GPoS plays vis-à-vis Science-in-general: an explicative function and a critical function. (shrink)

This paper examines a model of decision-making within the context of current and emerging regimes of accountability being proposed and implemented for school systems in a number of jurisdictions. These approaches to accountability typically involve the use of various measurable student learning outcomes as well as other measures of performance to do with teachers and schools in general, often having high-stakes consequences. Given this context of performativity, the paper proposes a model that uses an objective knowledge growth framework, where teachers (...) can engage in their own professional learning through defined structures for solving the problems of their professional practice. The model is both empowering for teachers while being sensitive to the constraints of cultures of performativity. (shrink)

In Why Tolerate Religion?, Brian Leiter argues against the special legal status of religion, claiming that religion should not be the only ground for exemptions to the law and that this form of protection should be, in principle, available for the claims of secular conscience as well. However, in the last chapter of his book, he objects to a universal regime of exemptions for both religious and secular claims of conscience, highlighting the practical and moral flaws associated with it. We (...) believe that Leiter identifies a genuine and important contemporary legal and philosophical problem. We find much to admire in his reasoning. However, we raise questions about two claims that are crucial for his argument. The first claim is that it is not religion as such, but conscience that deserves toleration and respect. The second claim is that respect for religion and conscience demands ‘principled toleration’ but does not entail stronger policies of legal exemptions. Against the first claim, we argue that Leiter does not successfully distinguish religious belief from secular conscience and morality; and he does not explain why secular conscience deserves respect. Against the second claim, we argue that the most promising theories of legal exemptions are not classical theories of liberal toleration. (shrink)

This thesis offers a naturalist revision of Alain Badiou’s philosophy. This goal is pursued through an encounter of Badiou’s mathematical ontology and theory of truth with contemporary trends in philosophy of mathematics and philosophy of science. I take issue with Badiou’s inability to elucidate the link between the empirical and the ontological, and his residual reliance on a Heideggerian project of fundamental ontology, which undermines his own immanentist principles. I will argue for both a bottom-up naturalisation of Badiou’s philosophical approach (...) to mathematics and a top-down naturalisation. Articulating my particular understanding of what realism and naturalism should commit us to, I propose a creative fusion of Badiou’s attention to metamathematical results with a structural-informational metaphysics, proposing a ‘matherialism’ uniting the more daring speculative insights of the former with the naturalist and empiricist commitments motivating the latter. (shrink)