RESEARCH BASE
Search 3,721 documents across 34 fields — every claim tier-rated by evidence
3,633 are the core, quality-scored corpus (34 lettered sections — see How We Work); the remaining 88 are cross-corpus synthesis documents (68 InterDocs, 12 Connections, 8 Theories) also indexed here.
96 results for "halting problem" — page 1 of 5
K_1_14 — Qualia: The Subjective Experience Problem
Qualia (singular: quale) — the term used in philosophy of mind for the subjective, experiential properties of conscious mental states — the redness of red, the painfulness of pain, the taste of coffee, the felt quality o
INTERDOC_56 — Three-Field Convergence: Quantum Measurement, the Hard Problem, and the UAP Observation Problem
Three independent fields — quantum measurement (physics), the Hard Problem (philosophy of mind), and the UAP observation phenomenon (military / intelligence / sensor data) — converge on the same unresolved question: what
ZD_1_01 — Algorithms, Computation, and the Limits of Knowledge
An algorithm is a finite, unambiguous sequence of instructions for solving a problem — a concept formalized independently by Alan Turing (Turing machine, 1936) and Alonzo Church (lambda calculus) in response to David Hil
ZD_1_10 — Automata Theory and Formal Languages
Automata theory studies abstract computational machines and the classes of languages they recognize, forming the mathematical backbone of computer science. The Chomsky hierarchy (1956–59) classifies formal languages into
ZD_1_11 — Turing Machine, Computability, and the Limits of Computation
The Turing machine — a mathematical model of computation defined by Alan Turing in his 1936 paper "On Computable Numbers, with an Application to the Entscheidungsproblem" — is the foundational formalism of theoretical co
P_1_05 — Gödel's Incompleteness and Limits of Knowledge
In 1931, Kurt Gödel proved two theorems that shattered the foundations of mathematics and permanently altered humanity's understanding of knowledge, truth, and proof. The FIRST INCOMPLETENESS THEOREM states: in any consi
ZF_5_22 — Cetacean Cognition: Marine Mammal Intelligence and Problem-Solving
Cetaceans (whales, dolphins, porpoises) display a suite of cognitive capacities that meet or exceed those of great apes on multiple comparative measures, despite an evolutionary lineage independent from primate cognition
K_1_11 — Dualism: Mind-Body Problem Across Philosophy and Neuroscience
The mind-body problem — the question of how subjective mental experience (consciousness, thought, sensation, emotion) relates to the physical body (brain, nervous system, matter) — is arguably the oldest and most persist
K_1_09 — Philosophical Zombies and the Hard Problem
The philosophical zombie (p-zombie) thought experiment, formalized by David Chalmers (1996), asks: Could there exist a being physically and functionally identical to a conscious human — identical atom for atom, processin
K_2_08 — The Binding Problem in Consciousness
The binding problem asks how the brain creates unified, coherent conscious experiences from the distributed, specialized processing activity of millions of neurons across separate brain regions. When you see a red ball r
Q_1_14 — Vacuum Energy and the Cosmological Constant Problem
The cosmological constant problem is widely regarded as the most severe fine-tuning problem in all of physics. Quantum field theory predicts that the vacuum of spacetime is not empty but seethes with zero-point fluctuati
Q_4_10 — Fluid Dynamics: Turbulence, Navier-Stokes, and the Millennium Problem
Fluid dynamics is the study of the motion of fluids (liquids and gases) — a branch of physics with applications spanning aeronautics, meteorology, oceanography, astrophysics, cardiovascular medicine, chemical engineering
P_1_01 — The Hard Problem of Consciousness
The Hard Problem of Consciousness, defined by philosopher David Chalmers in 1995, asks: Why does physical processing in the brain give rise to subjective experience? We can explain HOW neurons fire (the "easy problems")
P_1_08 — Philosophy of Mind and the Body Problem
The mind-body problem — how do mental states (thoughts, feelings, consciousness) relate to physical states (neurons, brains, bodies)? — is one of the oldest and most intractable problems in philosophy. Descartes (1641) f
P_2_01 — The Problem of Evil and Theodicy
The Problem of Evil is the oldest and most potent objection to the existence of an omnipotent, omniscient, benevolent God. First formulated rigorously by Epicurus (~300 BCE): "If God is willing to prevent evil but unable
ZA_1_14 — The Measurement Problem: Quantum Mechanics' Deepest Puzzle
The measurement problem — arguably the deepest conceptual issue in all of physics — arises from a fundamental tension within quantum mechanics between two processes: (1) unitary evolution — the deterministic, continuous,
ZA_1_05 — Quantum Decoherence and the Measurement Problem
Quantum decoherence explains how the strange superposition behavior of quantum mechanics transitions into the definite, classical-looking world we observe — without requiring a mysterious "collapse" postulate. When a qua
V_4_04 — Unsolved Problems in Mathematics
Mathematics has always been driven by problems that resist solution — conjectures so deep that their resolution reshapes entire fields. The Clay Mathematics Institute's seven Millennium Prize Problems ($1 million each, a
P_1_19 — Philosophy of Mind
The philosophy of mind is the branch of philosophy that investigates the nature of mental phenomena — consciousness, intentionality, perception, emotion, belief, desire, and their relationship to the physical body and br
P_1_16 — AI Consciousness Philosophy: Can Machines Think, Feel, and Be Aware?
The question of whether artificial intelligence systems can be conscious — whether machines can genuinely think, have subjective experiences, or possess phenomenal awareness — is one of the deepest unsolved problems at t
BROWSE BY SECTION — 3,721 documents across 34 fields