Open research questions in Philosophy and Theoretical Science
381 gap statements mined from Philosophy and Theoretical Science papers in our 7.9M-paper local library, which holds 4,076 papers on the topic — drawn mostly from each paper's own stated research gap, future-work, challenge and limitation notes, and its abstract. The ones listed below are a selection still marked open; each names the study that raised it, with a DOI link where the paper has one.
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What the literature leaves open
The need to reconcile the subjective, qualitative nature of experience with the objective, quantitative methods of scientific inquiry.
Editorial: The end of qualia. Do we still need phenomenology in the science of consciousness? · 2026 · DOIThe study argues that the concept of qualia may have constrained the ways in which the problem of conscious experience can be investigated. The paper highlights the need for alternative approaches to understanding conscious experience, beyond the traditional framework of qualia and physicalism.
Editorial: The end of qualia. Do we still need phenomenology in the science of consciousness? · 2026 · DOIApplications to further domains are also sketched, and a number of open problems outlined.
Yet it remains unclear how to account for the perceptual phenomenology of language experience.
The gap between the Theory of Objectivity and its critics, such as van Hamme, is the question of whether the theory fully demonstrates the transition to the effective articulation of reality. The gap between the theory's claim to provide a logical-ontological grounding of the universe and its actual ability to do so.
THE MODAL DISCIPLINE OF ONTOLOGICAL FUNDAMENTALITY: a critical–propositional analysis of On Modal Discipline and Ontological Fundamentality: Admissibility, Articulation, and the Scope of the Theory of Objectivity (V 1.0), by Carlos van Hamme, in confrontation with the Theory of Objectivity · 2026 · DOIThe need for a theory of fundamentality in general and categorial fundamentality in particular. The lack of a clear understanding of what it means for natural kinds to be fundamental.
Future research could explore the ontological foundation of the description of reality in relativistic physics. Future research could examine the implications of the Theory of Objectivity for the description of reality in relativistic physics.
THE MODAL DISCIPLINE OF THE INVERSE TRANSFORMATION OF RINDLER SPACETIME: A critical–propositional analysis of Inverse-transformation of 4-dimensional Rindler spacetime, by Sangwha-Yi, in confrontation with the Theory of Objectivity · 2026 · DOIThe manuscript's reduction of reality to its formal structure of recursive compression is a gap. The absence of a robust theory of reciprocal observability is a gap.
SINGULAR DUALITY AND THE MODAL DISCIPLINE OF OBJECTIVITY A critical–propositional reading of the manuscript A Singular Duality: A Unified Framework Proving Our Mathematical Universe, by C. Mike "WildFacts" Rubendall, in confrontation with the Theory of Objectivity · 2026 · DOIFuture research should focus on developing a logical demonstration for RCC's foundational principles. The development of a modal ontology for RCC could address the problem of foundation. Further research is needed to fully explore the implications of RCC's propositions for cosmology.
RUPTURE–CONTAINMENT COSMOLOGY: a critical–propositional reading in light of the Theory of Objectivity · 2026 · DOIThe gap is RCC's failure to provide a logical demonstration for its foundational principles. RCC displaces the problem of foundation without resolving it. The gap is the lack of a modal demonstration for the necessity of rupture in RCC.
RUPTURE–CONTAINMENT COSMOLOGY: a critical–propositional reading in light of the Theory of Objectivity · 2026 · DOIThe paper argues that the extensional model of temporal awareness has faced mounting critique and needs to be defended.
The gap in current approaches is the assumption that concepts are individuated by their semantic content.
Future research could explore the implications of idealization of memory for epistemic two-dimensionalism. Future research could also examine the relation between Frege's puzzle and other theories in the philosophy of language.
The paper argues that idealization of memory is a key aspect of epistemic two-dimensionalism that has not been fully explored.
The paper identifies a gap in understanding how truth, sense, and coherence remain valid under changing conditions. It highlights the need for a framework that preserves truth, coherence, and orientation under conditions of temporal change.
Future research should continue to explore the concept of personal identity in ontological materialism. Further studies could investigate the implications of the paper's findings for our understanding of personal responsibility and self-care.
The Limits of the Self in Ontological Materialism: On the Indeterminacy of Exclusive Personal Identity · 2026 · DOIThe study highlights the need for further examination of the exclusivity claim.
The Limits of the Self in Ontological Materialism: On the Indeterminacy of Exclusive Personal Identity · 2026 · DOIThe formal ontological analysis employs essential dependence relations (E-RIG and E-GEN) and hyperintensional machinery from Fine, Lowe, and Correia, but does not formally derive or test whether these dependence structures can be computationally or algorithmically instantiated to predict or classify natural kinds based on property clusters without prior ontological commitment.
The article remains entirely on the plane of coordinate geometry and does not rise to the problem of ontological foundation. The article does not contemplate primordial Nothingness, does not discipline infinity, and does not treat transcendence as information-radiation produced in atomic relations.
THE MODAL DISCIPLINE OF THE INVERSE TRANSFORMATION OF RINDLER SPACETIME: A critical–propositional analysis of Inverse-transformation of 4-dimensional Rindler spacetime, by Sangwha-Yi, in confrontation with the Theory of Objectivity · 2026 · DOIThe authors note that efforts to define determinism precisely have exposed deep methodological disagreements.
Inconsistencies in the original publication concerning dimensional notation and units. Notational and dimensional inconsistencies concerning the name of the effective-continuity-factor equation.
Correction: Kurtz, A.G. The Frame Survival Model of Conscious Continuity: A Theoretical Framework for Subjective Experience in a Branching Universe. Philosophies 2026, 11, 14 · 2026 · DOIHicks articulates a distinctive and underexplored source of a line of criticism that later became central to attacks on the Given.
Further study of the implications of the theorem for various fields, including mathematics, philosophy, and physics - Further development of the theorem…
Zhu-Liang Theorem on Truth as Recursive Meta-Nested Function ——Based on Category-Theoretic Construction from Root Consensus of Causality and Self-Consistency (Complete Version) · 2026 · DOIFurther development of the implications of the argument for our understanding of conceptual engineering and abandonment, - Exploration of the possibilities for conceptual recovery…
Diving for pearls: conceptual abandonment, conceptual engineering, and the limits of thought and language · 2026 · DOIThe paper identifies a gap in the explanatory basis of normative neopragmatism. The paper argues that normative neopragmatism leaves its normative basis less satisfactorily explained.
Most-cited papers in Philosophy and Theoretical Science
- Basic objects in natural categories · Cognitive Psychology · 1976 · 3,406 citations
- Natural categories · Cognitive Psychology · 1973 · 1,730 citations
- Concept image and concept definition in mathematics with particular reference to limits and continuity · Educational Studies in Mathematics · 1981 · 1,035 citations
- On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin · Educational Studies in Mathematics · 1991 · 1,006 citations
- Thing Theory · Critical Inquiry · 2001 · 920 citations
- The Semantic Conception of Truth: and the Foundations of Semantics · Philosophy and Phenomenological Research · 1944 · 893 citations
- Real Patterns · The Journal of Philosophy · 1991 · 794 citations
- Wet Ontologies, Fluid Spaces: Giving Depth to Volume through Oceanic Thinking · Environment and Planning D Society and Space · 2015 · 720 citations
- Defining the 'field at a given time.' · Psychological Review · 1943 · 695 citations
- Rethinking maps · Progress in Human Geography · 2007 · 541 citations
Most recent work
- V01.02 — Mirror Theory II: Observerhood, Identity and Reality · Zenodo (CERN European Organization for Nuclear Research) · 2026
- SΔϕ Origin — From Unverifiable Referent to Operational Existence: The Genealogical Derivation of Operor ergo sum and Irreversibility · Zenodo (CERN European Organization for Nuclear Research) · 2026
- Ontological Pluralism Without Degrees of Being · Zenodo (CERN European Organization for Nuclear Research) · 2026
- The Three Differences and the Phenomenology of the Lateral Difference · Zenodo (CERN European Organization for Nuclear Research) · 2026
- ONE AXIOM : All Secure · Zenodo (CERN European Organization for Nuclear Research) · 2026
- Ontosystematics: Foundations of a Systematic Science of Ontological Nodes · Zenodo (CERN European Organization for Nuclear Research) · 2026
- How to connect to the Universe with Science & Philosophy for beginners · Zenodo (CERN European Organization for Nuclear Research) · 2026
- The Pleasure Order — Theory Specification and Honest Claim-Boundary (v1.5, 2026-07-05 status sync) · Zenodo (CERN European Organization for Nuclear Research) · 2026
- The Informational Profile of Valence: The Metasemantic Argument for Imperativism · The British Journal for the Philosophy of Science · 2026
- The Concept of a Motivated Emotional Mind Explains Thinking Processes in Cognitive and Phenomenal Aspects · Integrative Psychological and Behavioral Science · 2026
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