In decision theory, economics, and probability theory, the Dutch book arguments are a set of results showing that agents must satisfy the axioms of rational...

expose you to certain loss through a Dutch book are called coherent. De Finetti is also noted for de Finetti's theorem on exchangeable sequences of random...

coin)? Bayesian probability Boy or girl paradox Doomsday argument Dutch book theorems Monty Hall problem Lewis, Peter J. (2007). "Quantum Sleeping Beauty"...

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

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...

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...

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

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...

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

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...

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...

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

theorem could be considered a weaker version of his own theorem[failed verification] and other utility representation theorems like the VNM theorem,...

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...

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...

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...

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...

Two other theorems of Helly and Radon are closely related to Carathéodory's theorem: the latter theorem can be used to prove the former theorems and vice...

book, Euclides Danicus, simultaneously in Copenhagen and Amsterdam, in Danish and Dutch respectively. This book, proving the Mohr–Mascheroni theorem 125...

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

his paper "Ten theorems about quantum mechanical measurements". with B. U. Felderhof: Theoretical methods in plasma physics, North Holland 1967, LCCN 67-20023...

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...

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

theorem in 1929 as part of his dissertation to earn a doctorate at the University of Vienna, and the publication of Gödel's incompleteness theorems two...

constructs. To establish theorems, mathematicians apply rules of inference to these axioms, aiming to demonstrate that the theorems are logical consequences...

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:...

Complex Analysis in Several Variables (3rd ed.), North Holland, ISBN 978-1-493-30273-4 "Hartogs theorem", Encyclopedia of Mathematics, EMS Press, 2001 [1994]...

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

Myerson–Satterthwaite inefficiency theorem (Myerson and Satterthwaite, 1983), the Jehiel–Moldovanu impossibility theorems (Jehiel and Moldovanu, 2001), the...