This book expounds a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defense of realism about the metaphysics of mathematics--the view (...) that mathematics is about things that really exist. (shrink)

CONTENTS: 1 Introductory Remark; 2 Formalism of Empirical Theories; 3 Semantics of Formalized Languages; 4 Interpretation of Empirical Theories; 5 Interpretation of Observational Terms; 6 Interpretation of Theoretical Terms; 7 Main Types of Meaning Postulates for Theoretical Terms; 8 Some Other Kinds of Meaning Postulates for Theoretical Terms; 9 Main Types of Statements in an Empirical Theory; 10 Towards a More Realistic Account; 11 Concluding Remarks; 12 Bibliographical Note.

This paper examines four arguments in support of Frege's theory of incomplete entities, the heart of his semantics and ontology. Two of these arguments are based upon Frege's contributions to the foundations of mathematics. These are shown to be question-begging. Two are based upon Frege's solution to the problem of the relation of language to thought and reality. They are metaphysical in nature and they force Frege to maintain a theory of types. The latter puts his theory of incomplete entities (...) in the paradoxical position of maintaining that it is no theory at all. Moreover, his metaphysics rules out well-known suggestions for avoiding this difficulty. (shrink)

In this note I shall make some observations concerning both the original and repaired systems presented by Frege in his Grundgesetze der Arithmetik . These in tum lead to general considerations con- cerning related axáom systems and contemporary comparative set theory. I hope that my remarks will be useful to others - as they were to me - for obtaining some insight into Frege's and current systems.

This paper explores several paths a distinctive third wave of extended cognition might take. In so doing, I address a couple of shortcomings of first- and second-wave extended cognition associated with a tendency to conceive of the properties of internal and external processes as fixed and non-interchangeable. First, in the domain of cognitive transformation, I argue that a problematic tendency of the complementarity model is that it presupposes that socio-cultural resources augment but do not significantly transform the brain’s representational capacities (...) during diachronic development. In this paper I show that there is available a much more dynamical explanation—one taking the processes of the brain’s enculturation into patterned practices as transforming the brain’s representational capacities. Second, in the domain of cognitive assembly, I argue that another problematic tendency is an individualistic notion of cognitive agency, since it overlooks the active contribution of socio-cultural practices in the assembly process of extended cognitive systems. In contrast to an individualistic notion of cognitive agency, I explore the idea that it is possible to decentralize cognitive agency to include socio-cultural practices. (shrink)

The central insights of Philip Pettit’s republican account of liberty are that (1) freedom consists in the absence of domination and (2) non-domination is not reducible to what is commonly called ‘negative liberty’. Recently, however, Matthew Kramer and Ian Carter have questioned whether the harms identified by Pettit under the banner of domination are not equally well accounted for by what they call the ‘pure negative’ view. In this article, first I argue that Pettit’s response to their criticism is problematic (...) insofar as it produces the following dilemma: either Pettit must concede that domination which one regards as consistent with one’s own best interests does not limit one’s freedom or he must embrace the implication that one can be forced to be free, a result he explici tly wants to avoid. Second, I argue that, despite the inadequacy of Pettit’s response, he is ultimately right in thinking that domination and negative liberty are sometimes compatible. My central contention, then, is that neither Pettit’s non-domination view nor Carter and Kramer’s pure negative view are able to account for the loss of liberty one suffers under conditions of domination. (shrink)

This book is forthcoming in Routledge. Here is the barest sketch of our aims: -/- We have two aims in this book. First, we aim to persuade you that conscious experience is sometimes realised by cycles of embodied and world-involving engagement. Second, we aim to persuade you that it is possible to develop and defend the thesis of extended consciousness through the increasingly powerful predictive processing theory developed in cognitive neuroscience.

This work addresses the autonomous organization of biological systems. It does so by considering the boundaries of biological systems, from individual cells to Home sapiens, in terms of the presence of Markov blankets under the active inference scheme—a corollary of the free energy principle. A Markov blanket defines the boundaries of a system in a statistical sense. Here we consider how a collective of Markov blankets can self-assemble into a global system that itself has a Markov blanket; thereby providing an (...) illustration of how autonomous systems can be understood as having layers of nested and self-sustaining boundaries. This allows us to show that: (i) any living system is a Markov blanketed system and (ii) the boundaries of such systems need not be co-extensive with the biophysical boundaries of a living organism. In other words, autonomous systems are hierarchically composed of Markov blankets of Markov blankets—all the way down to individual cells, all the way up to you and me, and all the way out to include elements of the local environment. (shrink)

In little more than 30 years, China has recovered from the intellectual stagnation brought about by the Cultural Revolution to become a global leader in science and technology. Like other leading countries in science and technology, China has encountered some ethical problems related to the conduct of research. China's leaders have taken some steps to respond to these problems, such as developing ethics policies and establishing oversight committees. To keep moving forward, China needs to continue to take effective action to (...) promote research integrity. Some of the challenges China faces include additional policy development, promoting education in responsible conduct of research, protecting whistle‐blowers, and cultivating an ethical research environment. (shrink)

This paper considers questions about continuity and discontinuity between life and mind. It begins by examining such questions from the perspective of the free energy principle (FEP). The FEP is becoming increasingly influential in neuroscience and cognitive science. It says that organisms act to maintain themselves in their expected biological and cognitive states, and that they can do so only by minimizing their free energy given that the long-term average of free energy is entropy. The paper then argues that there (...) is no singular interpretation of the FEP for thinking about the relation between life and mind. Some FEP formulations express what we call an independence view of life and mind. One independence view is a cognitivist view of the FEP. It turns on information processing with semantic content, thus restricting the range of systems capable of exhibiting mentality. Other independence views exemplify what we call an overly generous non-cognitivist view of the FEP, and these appear to go in the opposite direction. That is, they imply that mentality is nearly everywhere. The paper proceeds to argue that non-cognitivist FEP, and its implications for thinking about the relation between life and mind, can be usefully constrained by key ideas in recent enactive approaches to cognitive science. We conclude that the most compelling account of the relationship between life and mind treats them as strongly continuous, and that this continuity is based on particular concepts of life (autopoiesis and adaptivity) and mind (basic and non-semantic). (shrink)

This paper starts by considering an argument for thinking that predictive processing (PP) is representational. This argument suggests that the Kullback–Leibler (KL)-divergence provides an accessible measure of misrepresentation, and therefore, a measure of representational content in hierarchical Bayesian inference. The paper then argues that while the KL-divergence is a measure of information, it does not establish a sufficient measure of representational content. We argue that this follows from the fact that the KL-divergence is a measure of relative entropy, which can (...) be shown to be the same as covariance (through a set of additional steps). It is well known that facts about covariance do not entail facts about representational content. So there is no reason to think that the KL-divergence is a measure of (mis-)representational content. This paper thus provides an enactive, non-representational account of Bayesian belief optimisation in hierarchical PP. (shrink)

This paper proposes a five-part empirical typology of interconnections of race and class. We describe the mechanisms whereby (1) race is a form of class relation; (2) race relations and class relations reciprocally affect each other; (3) race acts as a sorting mechanism into class locations; (4) race acts as a mediating linkage to class locations; and (5) race interacts with class in determining other outcomes. Rather than insisting on one or another mechanism as the overarching framework for conceptualising the (...) interconnections between race and class, we propose a theoretical integration of all five within a functionalist model. The model reconciles the empirical effects of race variables with a class-functionalist explanation of race. Our typology of interconnections is useful for situating concrete empirical phenomena, and our theoretical integration of those interconnections offers a coherent explanatory system that captures the recursive causality of race and class. (shrink)

Philosophical accounts of the constitution relation have been explicated in terms of synchronic relations between higher‐ and lower‐level entities. Such accounts, I argue, are temporally austere or impoverished, and are consequently unable to make sense of the diachronic and dynamic character of constitution in dynamical systems generally and dynamically extended cognitive processes in particular. In this paper, my target domain is extended cognition based on insights from nonlinear dynamics. Contrariwise to the mainstream literature in both analytical metaphysics and extended cognition, (...) I develop a nonstandard, alternative conception of constitution, which I call “diachronic process constitution”. It will be argued that only a diachronic and dynamical conception of constitution is consistent with the nature of constitution in distributed cognitive processes. (shrink)

Basic Emotion Theory, or BET, has dominated the affective sciences for decades (Ekman, 1972, 1992, 1999; Ekman and Davidson, 1994; Griffiths, 2013; Scarantino and Griffiths, 2011). It has been highly influential, driving a number of empirical lines of research (e.g., in the context of facial expression detection, neuroimaging studies and evolutionary psychology). Nevertheless, BET has been criticized by philosophers, leading to calls for it to be jettisoned entirely (Colombetti, 2014; Hufendiek, 2016). This paper defuses those criticisms. In addition, it shows (...) that we have good reason to retain BET. Finally, it reviews and puts to rest worries that BET’s commitment to affect programs renders it outmoded. We propose that, with minor adjustments, BET can avoid such criticisms when conceived under a radically enactive account of emotions. Thus, rather than leaving BET behind, we show how its basic ideas can be revised, refashioned and preserved. Hence, we conclude, our new BET is still a good bet. (shrink)

A recent surge of work on prediction-driven processing models--based on Bayesian inference and representation-heavy models--suggests that the material basis of conscious experience is inferentially secluded and neurocentrically brain bound. This paper develops an alternative account based on the free energy principle. It is argued that the free energy principle provides the right basic tools for understanding the anticipatory dynamics of the brain within a larger brain-body-environment dynamic, viewing the material basis of some conscious experiences as extensive--relational and thoroughly world-involving.

Disagreement about how best to think of the relation between theories and the realities they represent has a longstanding and venerable history. We take up this debate in relation to the free energy principle (FEP) - a contemporary framework in computational neuroscience, theoretical biology and the philosophy of cognitive science. The FEP is very ambitious, extending from the brain sciences to the biology of self-organisation. In this context, some find apparent discrepancies between the map (the FEP) and the territory (target (...) systems) a compelling reason to defend instrumentalism about the FEP. We take this to be misguided. We identify an important fallacy made by those defending instrumentalism about the FEP. We call it the literalist fallacy: this is the fallacy of inferring the truth of instrumentalism based on the claim that the properties of FEP models do not literally map onto real-world, target systems. We conclude that scientific realism about the FEP is a live and tenable option. (shrink)

This paper examines, for the first time, the relationship between realization relations and the free energy principle in cognitive neuroscience. I argue, firstly, that the free energy principle has ramifications for the wide versus narrow realization distinction: if the free energy principle is correct, then organismic realizers are insufficient for realizing free energy minimization. I argue, secondly, that the free energy principle has implications for synchronic realization relations, because free energy minimization is realized in dynamical agent-environment couplings embedded at multiple (...) time scales. (shrink)

This chapter considers the possible convergence of predictive processing and embodied cognition. It is argued that the embodied view of cognition comprises a subset (if not all) of the following theses: (1) the constitutive thesis, (2) the nonrepresentational thesis, (3) the cognitive-affective inseparability thesis, and (iv) the metaplasticity thesis. It is then argued that predictive processing is prima facie at odds with some (if not all) of these embodied cognition theses. The reason is that predictive processing is often understood in (...) epistemic, inferential, and representational terms, promoting an internalist and skepticism-prone view of the mind-world relation. The chapter proceeds to establish that this perceived tension between predictive processing and embodied cognition can be overcome. The chapter concludes that it is possible to accept predictive processing and endorse all four theses central to the embodied view of cognition. (shrink)

This book is about the necessity, and even value, of vulnerability in human experience. In it, Michael Ing brings early Chinese texts into dialogue with questions about the ways in which meaningful things are vulnerable to powers beyond our control; and more specifically, how relationships with meaningful others might compel tragic actions.

New and radically reformative thinking about the enactive and embodied basis of cognition holds out the promise of moving forward age-old debates about whether we learn and how we learn. The radical enactive, embodied view of cognition (REC) poses a direct, and unmitigated, challenge to the trademark assumptions of traditional cognitivist theories of mind—those that characterize cognition as always and everywhere grounded in the manipulation of contentful representations of some kind. REC has had some success in understanding how sports skills (...) and expertise are acquired. But, REC approaches appear to encounter a natural obstacle when it comes to understanding skill acquisition in knowledge-rich, conceptually based domains like the hard sciences and mathematics. This paper offers a proof of concept that REC’s reach can be usefully extended into the domain of science, technology, engineering, and mathematics (STEM) learning, especially when it comes to understanding the deep roots of such learning. In making this case, this paper has five main parts. The section “Ancient Intellectualism and the REC Challenge” briefly introduces REC and situates it with respect to rival views about the cognitive basis of learning. The “Learning REConceived: from Sports to STEM?” section outlines the substantive contribution REC makes to understanding skill acquisition in the domain of sports and identifies reasons for doubting that it will be possible to apply the same approach to knowledge-rich STEM domains. The “Mathematics as Embodied Practice” section gives the general layout for how to understand mathematics as an embodied practice. The section “The Importance of Attentional Anchors” introduces the concept “attentional anchor” and establishes why attentional anchors are important to educational design in STEM domains like mathematics. Finally, drawing on some exciting new empirical studies, the section “Seeing Attentional Anchors” demonstrates how REC can contribute to understanding the roots of STEM learning and inform its learning design, focusing on the case of mathematics. (shrink)

Michael Ing's The Dysfunction of Ritual in Early Confucianism is the first monograph in English about the Liji--a text that purports to be the writings of Confucius' immediate disciples, and part of the earliest canon of Confucian texts called ''The Five Classics,'' included in the canon several centuries before the Analects. Ing uses his analysis of the Liji to show how early Confucians coped with situations where their rituals failed to achieve their intended aims. In contrast to most contemporary (...) interpreters of Confucianism, Ing demonstrates that early Confucian texts can be read as arguments for ambiguity in ritual failure. (shrink)

This paper examines the application of the mutual manipulability criterion as a way to demarcate constituents of cognitive systems from resources having a mere causal influence on cognitive systems. In particular, it is argued that on at least one interpretation of the mutual manipulability criterion, the criterion is inadequate because the criterion is conceptualized as identifying synchronic dependence between higher and lower ‘levels’ in mechanisms. It is argued that there is a second articulation of the mutual manipulability criterion available, and (...) that it should be preferred for at least two reasons. The first is that the criterion of mutual manipulability is an instance of continuous reciprocal causation. The second is that it has implications for how to understand this distinction between causation and constitution. It is shown that when considering dynamic systems, continuous reciprocal causation - ubiquitous in dynamical systems - is a form of constitutive causality, which entails that causal factors may, in the right circumstances, by genuine constitutive factors of cognition. This notion of constitutive causality lends support to conceiving of the mutual manipulability criterion as a genuine demarcation principle in the debate over the boundaries of mind. (shrink)