The Newman problem is a fundamental problem that threatens to undermine structural assumptions and structural theories throughout philosophy and science. Here, we consider the problem in the context of consciousness science. We introduce and discuss the problem, and explain why it is detrimental not only to structuralist assumptions, but also to theories of consciousness, if left unconsidered. However, we show that if phenomenal spaces, and mathematical structures of conscious experience more generally, are understood in the right way, the Newman problem (...) does not arise. The upshot of our paper is that consciousness science needs to be careful in which definition of structure to consider, but if it is, the Newman problem disappears. (shrink)

Recently, an information-theoretic structural realist theory of the self and consciousness has been put forward (Beni, M. D. 2019. Structuring the Self, Series New Directions in Philosophy and Cognitive Science. Palgrave Macmillan). The theory is presented as a form of panpsychism. I argue against this interpretation and show that Beni’s structuralist theory runs into the hard problem of consciousness, in a similar way as the Integrated Information theory of consciousness. Since both of these theories are structuralist and based on the (...) notion of information, I propose to use a solution that has been employed for Integrated Information Theory, namely introducing the distinction between extrinsic and intrinsic structure and dynamics (intrinsic information and intrinsic structure). Making these metaphysical enhancements to Beni’s structuralist theory of consciousness will give the theory a better chance of overcoming the hard problem. In terms of the metaphysics of consciousness, it takes us beyond physicalism. I then suggest that the information-theoretic structuralist theory of consciousness should, instead of panpsychism and physicalism, be combined with neutral monist ontology which is a better fit. These reworkings could lead to an improved naturalistic account of consciousness – the neutral-structuralist theory of consciousness and the self. (shrink)

This is a short discussion of Janko Nešić’s [2022. “Towards a Neutral-Structuralist Theory of Consciousness and Selfhood.” International Studies in the Philosophy of Science, 1–17], which conveys a critical review of Beni’s Structural Realist theory of the Self (SRS). Nešić’s critique indicates that there is an incongruity between the structuralist tendency of SRS and its commitment to panpsychism. He argues that Beni can use the notion of internal information to develop a more congenial account of consciousness than panpsychism. In this (...) paper, I defend the panpsychist component of Beni’s theory and explain why I think it’s preferable to Nešić’s proposal. (shrink)

The book results from several years of work on the problems of consciousness and the self as they are currently posed in the Philosophy of mind and Philosophy of psychiatry. I debate various theories of the self, including those found in contemporary versions of dualism, panpsychism, structuralism, enactivism, and predictive processing, while working towards naturalising the phenomenology of subjectivity.

Structural realism is the view that scientific theories give us knowledge only of the structure of the unobservable world. The view faces an influential objection that was first posed by Max Newman: if our knowledge of the unobservable world were strictly limited to its structure, our knowledge turns out to be trivial, for it amounts to nothing more than knowledge of the cardinality of the world. In this paper, I shall propose a response to Newman’s objection. It shall be argued (...) that in having epistemic access to the intrinsic nature of our conscious experiences—knowledge that structural realists allow for—we have knowledge of what it is to exist as concrete phenomena. With the plausible assumption that the relations of the unobservable world are also similarly concrete, one can address Newman’s objection. I shall further contrast this response to other similar responses that have been proposed, and also address the objection that this response is not available to structural realists. (shrink)

The scientific study of consciousness, also referred to as consciousness science, is a young scientific field devoted to understanding how conscious experiences and the brain relate. It comprises a host of theories, experiments, and analyses that aim to investigate the problem of consciousness empirically, theoretically, and conceptually. This thesis addresses some of the questions that arise in these investigations from a formal and mathematical perspective. These questions concern theories of consciousness, experimental paradigms, methodology, and artificial consciousness. -/- Regarding theories of (...) consciousness, the thesis contributes to the understanding of the mathematical structure that some of the formal theories in the field propose. The work presented here targets the theory of consciousness known as Integrated Information Theory (IIT) and the neuroscientific theory known as Predictive Processing Theory or Free Energy Principle in its Active Inference form (AI-PP). The thesis provides axiomatic definitions of the mathematical structures that constitute these theories, and uses these definitions to address some of the open questions surrounding the theories. For AI-PP, this includes a rigorous derivation of the formula for Active Inference via Free Energy minimisation and a proof of compositionality of Free Energy. For IIT, this includes resolutions of some of the criticisms of IIT's formal scope and applications, but also the identification of new issues that concern the formalism and its derivation. When possible, the definitions are provided in the mathematical framework of category theory. -/- Regarding experiments, the thesis addresses the main paradigm for testing and falsifying theories of consciousness currently applied in the field. This paradigm consists of comparing the conscious experience that a theory predicts with the conscious experience that is inferred from behavioural data or report by use of measures of consciousness. The thesis provides a formal model of this paradigm and shows that under a certain condition—if inference and prediction are independent—, any minimally informative theory of consciousness can always be falsified. This is deeply problematic since the field’s reliance on report or behaviour to infer conscious experiences, in conjunction with the general structure of most contemporary theories of consciousness, implies such independence. This observation provides the exact formal underpinning of the well-known unfolding argument. The thesis analyses the origin of the problem and identifies precisely which changes are required to avoid this problem in future research. The thesis furthermore shows that the problem of falsifying theories of consciousness, and of empirical comparisons of theories of consciousness more generally, follows from a pervasive closure paradigm in consciousness science, that consists of taking a neuroscientific account of the brain as input to a theory of consciousness, so as to explain what consciousness is, without allowing for modifications or adaptations of the neuroscientific account that would accommodate consciousness as part of the brain's functioning. As is shown in the thesis, this paradigm has implications that point to a fundamental need of revision. -/- Regarding methodological and conceptual questions, the thesis contributes to the foundations of structural research in consciousness science. Structural research aims to use mathematical structures or mathematical spaces, instead of verbal descriptions or simple categorisations, to represent conscious experiences scientifically, for example when building theories of consciousness, or when exploring new empirical avenues to measure consciousness. Despite considerable advances in this realm, there was, prior to this thesis, no explicit definition of what a mathematical structure of conscious experience should be; that is, how the attribution of mathematical structure to conscious experiences should be systematically understood. Perhaps the most important contribution of this thesis to the field is to propose such a definition. The definition, a structural concept, extends existing approaches wherever available, and provides a basis for developing a common formal language to study consciousness, bridging developments as far apart as psychophysics and phenomenology. In addition, and independently of this proposal, the thesis offers a critical analysis of which metaphysical premises need to be presumed in structural research, whether the use of particular formal tools (such as structure-preserving mappings or homomorphisms) is justified, and how structural theories of consciousness could otherwise be built in the first place. An attempt to expand the results from consciousness to more general problems in philosophy of science is made in the context of the well-known Newman problem. -/- Regarding the question of artificial consciousness—can AI feel?—, the thesis contributes two results that take the form of no-go theorems, as known from physics. The first no-go theorem shows that if consciousness is relevant for the temporal evolution of a system's states—if it is dynamically relevant—, then contemporary AI systems cannot be conscious. That is because AI systems run on CPUs, GPUs, TPUs or other processors which have been designed and verified to adhere to computational dynamics that systematically preclude or suppress deviations. The second no-go theorem is situated in the context of computational functionalism, a view which posits that consciousness is a computation. The theorem shows that if computational functionalism holds true, consciousness cannot be a Turing computation. Rather, it must be a novel type of computation that has recently been proposed by Geoffrey Hinton, called mortal computation. -/- This thesis is part of a global effort to pioneer a mathematical perspective in consciousness science, now called Mathematical Consciousness Science. The hope behind the research carried out in this PhD is to illustrate the power and usefulness of mathematical approaches in different areas of consciousness science, and in doing so, to lay the foundations for future mathematical work that complements and supports empirical and theoretical work in the further development of this exciting field. (shrink)