Non-Standard-Analysis
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Non-standard analysis — Abraham Robinson Gottfried Wilhelm Leibniz argued tha … Wikipedia
Criticism of non-standard analysis — Non standard analysis and its offshoot, non standard calculus, have been criticized by several authors. The evaluation of non standard analysis in the literature has varied greatly. Joseph Dauben described it as a scientific revolution, while… … Wikipedia
Constructive non-standard analysis — In mathematics, constructive nonstandard analysis is a version of Abraham Robinson s non standard analysis, developed by Moerdijk (1995), Palmgren (1998), Ruokolainen (2004). Ruokolainen wrote: The possibility of constructivization of nonstandard … Wikipedia
Monad (non-standard analysis) — In non standard analysis, a monad (also called halo[1]) is the set of points infinitely close to a given point. Given a hyperreal number x in R*, the monad of x is the set See also Infinitesimal Notes ^ … Wikipedia
Non-standard calculus — Abraham Robinson Contents 1 Motivation … Wikipedia
Non-standard model — See also Interpretation (logic) In model theory, a discipline within mathematical logic, a non standard model is a model of a theory that is not isomorphic to the intended model (or standard model). If the intended model is infinite and the… … Wikipedia
Non-standard model of arithmetic — In mathematical logic, a nonstandard model of arithmetic is a model of (first order) Peano arithmetic that contains nonstandard numbers. The standard model of arithmetic consists of the set of standard natural numbers {0, 1, 2, …}. The elements… … Wikipedia
Non-standard cosmology — Physical cosmology Universe · Big Bang … Wikipedia
Analyse non standard — En mathématiques, et plus précisément en analyse, l analyse non standard est un ensemble d outils développés depuis 1960 afin de traiter la notion d infiniment petit de manière rigoureuse. Pour cela, une nouvelle notion est introduite, celle d… … Wikipédia en Français
Non-well-founded set theory — Non well founded set theories are variants of axiomatic set theory which allow sets to contain themselves and otherwise violate the rule of well foundedness. In non well founded set theories, the foundation axiom of ZFC is replaced by axioms… … Wikipedia
