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Incompatibility of the numerical transcendence of noema and supervenience

Liu Liu

Humanities and Social Sciences Communications June 25, 2026 Peer reviewed DOI: 10.1057/s41599-026-08091-1 via OpenAlex

Summary

The study argues that the vast number of mental states, which include both existent and imaginary entities, cannot be adequately explained by the principle of supervenience on a limited physical substrate. It suggests that this numerical excess indicates a need for trialism in understanding consciousness, proposing that necessary beings and hypothetical objects belong to a distinct ontological category separate from minds and physical objects. Future research is needed to explore these ideas further.

Study at a glance

Key finding The numerical transcendence of mental states over physical states is incompatible with supervenience, suggesting a need for trialism in the philosophy of mind.

Abstract

Abstract It is well-established that phenomenology is about both existent and imaginary entities. The latter category encompasses necessary beings, hypothetical objects, possible objects, and modal properties. Given the vast range of potential intentional objects for intentional states, the total number of such mental states would vastly exceed the number of possible physical states. This raises a critical question: How can such an excess of mental states supervene on a comparatively limited physical substrate? I contend that this numerical transcendence of noema is fundamentally incompatible with the principle of supervenience. This argument offers an alternative formulation of those advanced by Abelson and Porpora, rooted in the mind’s capacity to entertain thoughts about natural numbers. Furthermore, the consciousness problem may necessitate trialism rather than dualism, as necessary beings, hypothetical objects, and similar entities constitute a distinct ontological category separate from both minds and physical objects—a line of inquiry reserved for future research. This study will advance the discussion of consciousness and includes an accurate characterization of the triple elements and the separate category of minds and physical objects, for the creativity of the mind needs novel entities.

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