decision theory, economics, and probability theory, the Dutch book arguments or coherence theorems are a set of results showing that agents must satisfy...

results are Arrow's impossibility theorem, the VNM utility theorem, Harsanyi's utilitarian theorem, and the Dutch book theorems. Violations of IIA in individual...

Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories...

These axioms, apart from continuity, are often justified using the Dutch book theorems (whereas continuity is used to set aside lexicographic or infinitesimal...

cases of this behaviour can be considered rational. However, the Dutch book theorems show that this comes at a major cost of internal coherence, such...

method in contrast to traditional epistemology is that its concepts and theorems can be defined with a high degree of precision. It is based on the idea...

ring with a Hecke algebra (now referred to as an R=T theorem) to prove modularity lifting theorems has been an influential development in algebraic number...

recursion theorems are a pair of fundamental results about the application of computable functions to their own descriptions. The theorems were first...

exceptions involving parallel lines. Desargues's theorem is therefore one of the simplest geometric theorems whose natural home is in projective rather than...

increases without bound. These theorems require stronger hypotheses than the forms of the central limit theorem given above. Theorems of this type are often called...

Bayesians will often motivate the Kolmogorov axioms by invoking Cox's theorem or the Dutch book arguments instead. The assumptions as to setting up the axioms...

pose; the constraints are justified by the Dutch book argument or by decision theory and de Finetti's theorem. The objective and subjective variants of...

most commonly used method for attractor reconstruction. Delay embedding theorems are simpler to state for discrete-time dynamical systems. The state space...

axiomatic basis, writing in a 1973 book that Bayes' theorem "is to the theory of probability what the Pythagorean theorem is to geometry". Stephen Stigler...

In mathematics, specifically functional analysis, Mercer's theorem is a representation of a symmetric positive-definite function on a square as a sum...

Bolyai. Vol. 10. North-Holland, Amsterdam/London. pp. 323–332. Rödl, V. (1973). The dimension of a graph and generalized Ramsey theorems (Master's thesis)...

Mysticism (1905). Brouwer was born to Dutch Protestant parents. Early in his career, Brouwer proved a number of theorems in the emerging field of topology...

noted Arrow's theorem could be considered a weaker version of his own theorem and other utility representation theorems like the VNM theorem, which generally...

Mathematiker-Vereinigung, 19: 155–159 Thomas, Robin (1999), "Recent Excluded Minor Theorems for Graphs", in Lamb, John D.; Preece, D. A. (eds.), Surveys in combinatorics...

the theorem for triangle-free graphs is known as Mantel's theorem; it was stated in 1907 by Willem Mantel, a Dutch mathematician. Turán's theorem states...

summarised the same argument in his later and shorter book Is There a God?, omitting the use of Bayes' theorem and inductive logic, but including a discussion...

or more descriptively as the isosceles triangle theorem. The theorem appears as Proposition 5 of Book 1 in Euclid's Elements. Its converse is also true:...

300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books...

Van der Waerden's theorem is a theorem in the branch of mathematics called Ramsey theory. Van der Waerden's theorem states that for any given positive...

is a lawyer. She is of paternal Scottish, French, German, Spanish, and Dutch descent and her mother is of Portuguese origin via the Azores and Madeira...

system of Zermelo–Fraenkel set theory. Gödel's incompleteness theorems are two theorems of mathematical logic that establish inherent limitations of all...

incompleteness theorems show that any sufficiently strong recursively enumerable theory of arithmetic cannot be both complete and consistent. Gödel's theorem applies...

The Erdős–Ko–Rado theorem can also be described in terms of hypergraphs or independent sets in Kneser graphs. Several analogous theorems apply to other kinds...

limitations": ...the magnitudes involved should lead one to suspect that theorems and arguments based chiefly on the mere finiteness [of] the state diagram...

Eckmann–Hilton argument (or Eckmann–Hilton principle or Eckmann–Hilton theorem) is an argument about two unital magma structures on a set where one is...