Arithmetical set

Known as: Arithmetical real number, Arithmetic set, Arithmetical number

In mathematical logic, an arithmetical set (or arithmetic set) is a set of natural numbers that can be defined by a formula of first-order Peano…

Papers overview

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2018

Philosophers of science since Nagel have been interested in the links between intertheoretic reduction and explanation…

2013

Let Ω = π(K) be arbitrary. In [10], the authors address the negativity of natural curves under the additional assumption that…

2012

We pose thirty conjectures on arithmetical sequences, most of which are about monotonicity of sequences of the form $(\root n\of…

2010

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2008

In recent papers, Fesenko has defined the non-abelian local reciprocity map for every totally-ramified arithmetically profinite…

2002

The goal of the paper is to build particular three codimensional arithmetically Cohen-Macaulay subschemes of P^r , partial…

1994

This paper was inspired by Lerman [14] in which he proved various properties of upper bounds for the arithmetical degrees. The…

1993

1970

Introduction. A computable field is one whose elements may be placed in one-one correspondence with the natural numbers in such a…

1951

If F is a field, and α is an element of F, we say that α is arithmetically definable in F if there is a formula containing one…