formal phenomenologydiscrete vs. continuousstate-spaces
Consciousness and Continuity
MIND · METAPHYSICS · MATHEMATICS
I explain the relationship between the metaphysical question of whether conscious experiences are continuous and the mathematical concept of a continuous function. Then I argue that introspection leaves open whether conscious experiences are continuous or discrete.
formal ethicswelfareimpossibility result
The Utility Monster
ETHICS · MATHEMATICS
I develop a new impossibility result connecting population axiologies to welfare axiologies. The result is centered around a puzzle about the utility monster, defined as an individual whose lifetime quantity of welfare goods exceeds the overall quantity of welfare goods across an entire population of excellent human lives.
history of sciencestructure vs. essencescience of consciousness
On the Future of Consciousness
MIND · ETHICS · SCIENCE
I argue that the most promising direction for the future of consciousness research is to follow a path that recurs across the history of science, where an early focus on "essence questions" ('What is X?') is replaced by a later focus on "structural questions" ('How do we model X?'). I discuss the prospects for investigating the structure of consciousness.
ways of varyingproperty structureparts & parameters
Dimensions as Quotients
METAPHYSICS · MATHEMATICS
I argue that for a property D to be a dimension of a property F is for the space of D-values to be a quotient of the space of F-values. I also identify a structural duality between the dimension relation and the parthood relation, and develop a consequential distinction between dimensions and "parameters."
structurethe light & the roomessence of consciousness
Subjectivity vs. Phenomenal Character
MIND · METAPHYSICS
I disentangle two senses of 'phenomenal consciousness' — which I call 'subjectivity' and 'phenomenal character' — and argue that the distinction has wide-ranging implications for questions about the structure of consciousness.
dimensions vs. parametersaggregationways of varying
The Mark of Multidimensionality
METAPHYSICS · MATHEMATICS · LANGUAGE
I explain how dimensions — ways of varying with respect to a kind — are distinct from parameters — the inputs that determine values along a kind. The distinction has wide-ranging implications for issues concerning aggregation, comparability, and the semantics of multidimensional adjectives.
similarityvector spacespalette problem
Universal Quality-Space
MIND · MATHEMATICS · SCIENCE
I develop a radical view of phenomenal qualities on which every quality can be modeled as a distribution over a high-dimensional vector space. I explain how the view solves the palette problem, the problem of explaining the qualitative diversity of experiences via a compact range of basic resources.
divergent seriesexpansionismimprecise value
A Puzzle about Hotel Infinity
METAPHYSICS · MATHEMATICS
I develop a puzzle about divergent series, such as the series 1 – 1 + 1 – 1 + ... I argue that the sum of such a series is 1/2.
artificial consciousnessmultiple realizabilityfunctionalism
Substrate Independencewith Brad Saad
MIND · METAPHYSICS
We develop a systematic framework for theorizing about substrates and consciousness, and disentangle substrate independence from multiple realization and functionalism. A core idea is that substrates are best analyzed as "stuff profiles." We argue that instead of asking whether consciousness is substrate independent, we ought to instead ask which substrates support which experiences.
subjectivitylocal statesscience of consciousness
Global States of Consciousnesswith Matthias Michel
MIND · SCIENCE
We argue that no current theory of global states of consciousness can satisfy all the theoretical roles associated with global states. Then we develop a new theory that does so. The basic idea is that global states are "total states of subjectivity."
quantitiesproperty structurenegative properties
Zero-Valueswith David Builes
METAPHYSICS · ETHICS
We explore a variety of metaphysical questions about the nature of zero values.