Mathematics plays a central role in much of contemporary science, but philosophers have struggled to understand what this role is or how significant it might be for mathematics and science. In this book Christopher Pincock tackles this perennial question in a new way by asking how mathematics contributes to the success of our best scientific representations. In the first part of the book this question is posed and sharpened using a proposal for how we can determine the content of a (...) scientific representation. Several different sorts of contributions from mathematics are then articulated. Pincock argues that each contribution can be understood as broadly epistemic, so that what mathematics ultimately contributes to science is best connected with our scientific knowledge. In the second part of the book, Pincock critically evaluates alternative approaches to the role of mathematics in science. These include the potential benefits for scientific discovery and scientific explanation. A major focus of this part of the book is the indispensability argument for mathematical platonism. Using the results of part one, Pincock argues that this argument can at best support a weak form of realism about the truth-value of the statements of mathematics. The book concludes with a chapter on pure mathematics and the remaining options for making sense of its interpretation and epistemology. Thoroughly grounded in case studies drawn from scientific practice, this book aims to bring together current debates in both the philosophy of mathematics and the philosophy of science and to demonstrate the philosophical importance of applications of mathematics. (shrink)

This paper provides an inferentialist account of model-based understanding by combining a counterfactual account of explanation and an inferentialist account of representation with a view of modeling as extended cognition. This account makes it understandable how the manipulation of surrogate systems like models can provide genuinely new empirical understanding about the world. Similarly, the account provides an answer to the question how models, that always incorporate assumptions that are literally untrue of the model target, can still provide factive explanations. Finally, (...) the paper shows how the contrastive counterfactual theory of explanation can provide tools for assessing the explanatory power of models. (shrink)

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In their most recent book, Evolving Enactivism: Basic Minds Meet Content (MIT 2017), Dan Hutto and Eric Myin claim to give a complete and gapless naturalistic account of cognition, but it comes with a kink. The kink being that content-involving cognition has special properties found nowhere else in nature, making it the case that minds capable of contentful thought differ in kind, in this key respect, from more basic minds. Contra Hutto and Myin, I argue that content-involving practices are themselves (...) simply a further extension of action and do not therefore warrant being called ‘different in kind’ or ‘kinky’. With the help of Ludwig Wittgenstein and John V. Canfield, I show that Enactivism meets the challenge of explaining higher-level cognition; and, contra continuity sceptics, offer ‘a philosophically cogent and empirically respectable account’ of how human minds can emerge from nonhuman minds. (shrink)

Menary OpenMIND, MIND Group, Frankfurt am Main, 2015) has argued that the development of our capacities for mathematical cognition can be explained in terms of enculturation. Our ancient systems for perceptually estimating numerical quantities are augmented and transformed by interacting with a culturally-enriched environment that provides scaffolds for the acquisition of cognitive practices, leading to the development of a discrete number system for representing number precisely. Numerals and the practices associated with numeral systems play a significant role in this process. (...) However, the details of the relationship between the ancient number system and the discrete number system remain unclear. This lack of clarity is exacerbated by the problem of symbolic estrangement and the fact that unique features of how numeral systems represent require our ancient number system to play a dual role. These issues highlight that Dehaene’s From monkey brain to human brain, MIT Press, Cambridge, pp 133–157, 2005) neuronal recycling hypothesis may be insufficient to explain the neural mechanisms underlying the process of enculturation. In order to explain mathematical enculturation, and enculturation more generally, it may be necessary to adopt Anderson’s :245–266, 2010; After phrenology: neural reuse and the interactive brain, MIT Press, Cambridge, 2014) theory of neural reuse. (shrink)

A proposal for the biological grounding of intrinsic teleology and sense-making through the theory of autopoiesis is critically evaluated. Autopoiesis provides a systemic lan- guage for speaking about intrinsic teleology but its original formulation needs to be elaborated further in order to explain sense-making. This is done by introducing adaptivity, a many-layered property that allows organisms to regulate themselves with respect to their conditions of via- bility. Adaptivity leads to more articulated concepts of behaviour, agency, sense-construction, health, and temporality than (...) those given so far by autopoiesis and enaction. These and other implications for understanding the organismic generation of values are explored. (shrink)

This paper explains why Clark’s Extended Mind thesis is not capable of sufficiently grasping how and in what sense external objects and technical artifacts can become part of our human cognition. According to the author, this is because a pivotal distinction between inside and outside is preserved in the Extended Mind theorist’s account of the relation between the human organism and the world of external objects and artifacts, a distinction which they proclaim to have overcome. Inspired by Charles S. Peirce’s (...) philosophy of mind, in particular, the author tries to find a way out of this ‘inside–outside’ fallacy. External objects, artifacts or processes should, according to him, not be conceived as inanimate and unintelligent matter utilised by a separately living, inner mental sphere that has set certain pre-established goals for itself. Mind has rather an artifactual character. It is not extended by an inner biological cognitive core but rather unfolds itself through objects and artifacts. Mind as such is, especially in our modern technological culture, shaped by virtue of and through technical artifacts. Recognizing this artifactual dimension of mind will, the author concludes, enable a more critical analysis of contemporary claims that ascribe certain original and irreducible features to thinking. (shrink)

The modern biomedical research laboratory is increasingly defined by dynamic social material conditions requiring researchers to traverse multiple shifting cognitive ecologies within day-to-day practice. Although the complexity of biomedical research is well known, the mechanisms by which the social and material organisation of this space is negotiated has yet to be fully considered. Integrating insights from Material Engagement Theory and Enactive Cognition with observations undertaken within a biomedical research laboratory, this paper develops an understanding of how actors are able to (...) respond to the dynamically changing world that is enacted with and around them. (shrink)