RESEARCH BASE

Search 3,721 documents across 34 fields — every claim tier-rated by evidence

3,721 Documents 34 Sections 43,625 Citations 34,852 Keywords Indexed 4 Evidence Tiers

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.

11 results for "welfare theorems"

V_4_02 Verified Mathematics & Information

V_4_02 — Mathematical Economics

Mathematical economics applies formal mathematical methods — optimization, fixed-point theorems, measure theory, stochastic processes, and game theory — to model economic phenomena with the rigor of a mathematical scienc

mathematical economics game theory Nash equilibrium general equilibrium Arrow-Debreu welfare theorems
K_3_11 Verified Consciousness

K_3_11 — Animal Consciousness and Sentience

The question of whether non-human animals possess conscious experience — subjective awareness, felt pain, emotions, and self-recognition — has moved from philosophical speculation to a major neuroscientific research prog

animal consciousness sentience Cambridge Declaration mirror test Gallup pain perception
ZE_5_12 Verified Ethics & Applied Philosophy

ZE_5_12 — Ethics of Children: Rights, Development, and Moral Status

The ethics of children addresses a fundamental puzzle: children are full human beings deserving of moral respect, yet they lack the autonomy, rationality, and experience that ground many standard moral and political righ

children's rights child ethics moral status paternalism autonomy development
ZE_5_16 Verified Ethics & Applied Philosophy

ZE_5_16 — Climate Change Ethics: Responsibility, Justice, and Future Generations

Climate change ethics addresses the moral dimensions of anthropogenic global warming — a problem characterized by radical asymmetries of cause and effect, temporal scale, and vulnerability. The nations most responsible f

climate ethics climate justice intergenerational justice climate debt loss and damage carbon budget
ZE_4_13 Verified Ethics & Applied Philosophy

ZE_4_13 — Ethics of Wealth and Poverty: Rawls, Nozick, Singer, and Distributive Justice

The ethics of wealth and poverty asks one of the most consequential moral questions: What do the affluent owe the poor? And, more broadly, what constitutes a just distribution of resources? Three towering 20th-century ph

distributive justice wealth poverty Rawls Nozick Singer
ZE_3_20 Credible Ethics & Applied Philosophy

ZE_3_20 — Artificial Consciousness Ethics and Moral Status of AI

The question of whether artificial systems can be conscious — and if so, what moral obligations humans would owe to such systems — has moved from science fiction to active philosophical and policy debate as AI capabiliti

artificial-consciousness moral-status ai-sentience machine-rights digital-minds consciousness-criteria
ZE_3_03 Verified Ethics & Applied Philosophy

ZE_3_03 — Animal Ethics and Rights

Animal ethics addresses the moral status of non-human animals and the ethical obligations humans have toward them — a field that has been transformed since the 1970s by philosophical arguments challenging the human-cente

animal rights animal welfare speciesism Peter Singer Tom Regan sentience
ZE_1_05 Verified Ethics & Applied Philosophy

ZE_1_05 — Utilitarianism and Consequentialism

Consequentialism is the family of ethical theories holding that the moral rightness of an action depends entirely on its consequences — what matters is the outcome, not the motive or the nature of the act itself. Utilita

utilitarianism consequentialism Bentham Mill Singer greatest happiness principle
V_2_11 Verified Mathematics & Information

V_2_11 — Abstract Algebra: Groups, Rings, and Fields

Abstract algebra is the study of algebraic structures — sets equipped with operations satisfying specific axioms — that generalize familiar arithmetic operations to reveal deep structural patterns across mathematics and

abstract algebra group theory ring theory field theory symmetry Galois theory
V_2_20 Verified Mathematics & Information

V_2_20 — Gödel's Incompleteness Theorems — Philosophical Implications

Kurt Gödel's incompleteness theorems, published in 1931 in the paper "Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I," constitute one of the most profound results in the history of l

Gödel incompleteness undecidability consistency mathematical truth Hilbert program
ZC_3_20 Credible Social Science

ZC_3_20 — Universal Basic Income

Universal Basic Income (UBI) — a periodic cash payment delivered unconditionally to all members of a political community, without means-testing or work requirements — has moved from the fringes of economic debate to main

universal basic income UBI basic income guarantee negative income tax Milton Friedman automation