Radically Elementary Probability Theory. (AM-117)

From MaRDI portal
Publication:3796444

DOI10.1515/9781400882144zbMath0651.60001OpenAlexW2564836637MaRDI QIDQ3796444

Edward Nelson

Publication date: 1987

Full work available at URL: https://doi.org/10.1515/9781400882144




Related Items

Convex MV-algebras: many-valued logics meet decision theoryCONSTRUCTING NONSTANDARD HULLS AND LOEB MEASURES IN INTERNAL SET THEORIESOn a nonstandard Brownian motion and its maximal functionAn elementary geometric nonstandard proof of the Jordan curve theoremInsight in discrete geometry and computational content of a discrete model of the continuumFranco Montagna's work on provability logic and many-valued logicNONSTANDARD CENTRAL LIMIT THEOREMS FOR MARKOV CHAINSTransient behaviour of a Galton–Watson process with a large number of typesThe law of ``all or nothing in a coin tossing gameExample of a nonstandard statistic testFrom binomial expectations to the Black-Scholes formula: The main ideasEDWARD NELSON (1932–2014)GROUPS OF WORLDVIEW TRANSFORMATIONS IMPLIED BY EINSTEIN’S SPECIAL PRINCIPLE OF RELATIVITY OVER ARBITRARY ORDERED FIELDSDiscretisations of higher order and the theorems of Faà di Bruno and DeMoivre-LaplaceThe strength of countable saturationFree-variable axiomatic foundations of infinitesimal analysis: A fragment with finitary consistency proofInfinitesimal analysis without the axiom of choiceNonstandard analysis: its creator and placeProbabilities and quantum fluctuationsNonstandard analysis and Dempster-Shafer theoryA note on special cases derived from Nelson's martingale central limit theoremStateful Realizers for Nonstandard AnalysisEffective infinitesimals in \(\mathbb{R}\)Layers of zero probability and stable coherence over Łukasiewicz eventsThe allure of infinitesimals: Sergio Albeverio and nonstandard analysisA theory of hyperfinite setsNon-Archimedean probabilityDivergent mathematical treatments in utility theoryLess is different: emergence and reduction reconciledA general no-cloning theorem for an infinite multiverseFunctions of limited accumulationImprecise Monte Carlo simulation and iterative importance sampling for the estimation of lower previsionsDuality for optimization problems with entropy-like objective functionsA propos du sens des textes mathématiques un exemple: La théorie des bifurcations dynamiquesAn axiomatics for nonstandard set theory, based on von Neumann–Bernays–Gödel TheoryA logical and algebraic treatment of conditional probabilityAn alternative mathematical foundation for statisticsA probabilistic commonsense reasonerRota's Fubini lectures: the first problemTRIANGULATING NON-ARCHIMEDEAN PROBABILITYComments on Edward Nelson’s “Internal set theory: A new approach to nonstandard analysis”On mathematical realism and applicability of hyperrealsNonstandard existence proofs for reaction diffusion equationsThe construction of chaos theoryA theory of hyperfinite processes: The complete removal of individual uncertainty via exact LLNTAKEOVERS OF DIFFUSELY HELD FIRMS: A NONSTANDARD APPROACHDevelopments in Constructive Nonstandard AnalysisFluctuation of averages in the strong law of large numbersAn improved setting for generalized functions: fine ultrafunctionsTaking formalism seriouslyElementary stochastic calculus for finance with infinitesimalsNon-standard probability, coherence and conditional probability on many-valued eventsIndependence for full conditional probabilities: structure, factorization, non-uniqueness, and Bayesian networksFormalizing a discrete model of the continuum in Coq from a discrete geometry perspectiveProcedures of Leibnizian infinitesimal calculus: an account in three modern frameworks




This page was built for publication: Radically Elementary Probability Theory. (AM-117)