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Herbert Bruce Enderton (April 15, 1936 – October 20, 2010) [1] was an American mathematician. He was a Professor Emeritus of Mathematics at UCLA and a former member of the faculties of Mathematics and of Logic and the Methodology of Science at the University of California, Berkeley .
Quantifier elimination is a concept of simplification used in mathematical logic, model theory, and theoretical computer science.Informally, a quantified statement "such that …" can be viewed as a question "When is there an such that …?", and the statement without quantifiers can be viewed as the answer to that question.
Several things follow from this, including the nonaxiomatizability of first-order logic with (first observed by Ehrenfeucht), and its equivalence to the -fragment of second-order logic (existential second-order logic)—the latter result published independently in 1970 by Herbert Enderton [4] and W. Walkoe.
Download as PDF; Printable version; In other projects ... Enderton, Herbert (1977). ... Resulting from an Amplification of the Conceptions of Boole's Calculus of Logic".
In mathematics, specifically set theory, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets.It states: There is no set whose cardinality is strictly between that of the integers and the real numbers.
In model theory, a branch of mathematical logic, the Łoś–Vaught test is a criterion for a theory to be complete, unable to be augmented without becoming inconsistent.. For theories in classical logic, this means that for every sentence, the theory contains either the sentence or its negation but not b
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Mathematical logic, also called 'logistic', 'symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the nineteenth century with the aid of an artificial notation and a rigorously deductive method. [5]