Our conscious experience seemingly involves the subjective sense or feeling of the passage of time. However, in recent years, several authors have denied that such an aspect or feature of experience can be found. If the experience of the flow of time exists, it remains elusive and intangible. My aim here is to try to pin it down. For this purpose, I will investigate acute disturbances of normal temporal experience that accompany deep meditative and psychedelic states. I will argue that (...) these experiences of altered temporality provide phenomenal contrast cases to ordinary passage phenomenology, allowing us to establish the existence of the latter and making it amenable to theorizing. (shrink)

In this contribution, we emphasize the relevance of mathematical approaches to the study of the first-person perspective. We briefly discuss why this is necessary and why mathematics plays a special role when it comes to integrating scientific (empirical) and philosophical (conceptual) projects. We also sketch some potential ways that mathematics could be used in phenomenology, based on a selection of four “phenomenological primitives” that characterize constitution: intentionality, minimal subjectivity, lifeworld, and time-consciousness. We also spell out a minimal topological toy model (...) and refer to some contemporary approaches using modern mathematics (e.g. category theory). We then discuss how this could be usefully applied to the (neuro)scientific study of consciousness and throughout stress the need to highlight (and formalize) phenomenology’s transcendental character. (shrink)

The Integrated Information Theory (IIT) might be our current best bet at a scientific explanation of phenomenal consciousness. IIT focuses on the distinctively subjective and phenomenological aspects of conscious experience. Currently, it offers the fundaments of a formal account, but future developments shall explain the qualitative structures of every possible conscious experience. But this ambitious project is hindered by one fundamental limitation. IIT fails to acknowledge the crucial roles of attention in generating phenomenally conscious experience and shaping its contents. Here, (...) we argue that IIT urgently needs an account of attention. Without this account, IIT cannot explain important informational differences between different kinds of experiences. Furthermore, though some IIT proponents celebratedly endorse a double dissociation between consciousness and attention, close analysis reveals that such as dissociation is in fact incompatible with IIT. Notably, the issues we raise for IIT will likely arise for many internalist theories of conscious contents in philosophy, especially theories with primitivist inclinations. Our arguments also extend to the recently popularized structuralist approaches. Overall, our discussion highlights how considerations about attention are indispensable for scientific as well as philosophical theorizing about conscious experience. (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)