Über Möglichkeiten im Relativkalkül

  title={{\"U}ber M{\"o}glichkeiten im Relativkalk{\"u}l},
  author={Leopold L{\"o}wenheim},
  journal={Mathematische Annalen},
On the uniform one-dimensional fragment over ordered models
The uniform one-dimensional fragment U1 is a recently introduced extension of the two-variable fragment FO. The logic U1 enables the use of relation symbols of all arities and thereby extends the
Heinrich Behmann's Contributions to Second-Order Quantifier Elimination from the View of Computational Logic
An extensive documentation of the letters and manuscripts in Behmann's bequest that concern second-order quantifier elimination are given, including a commented register and English abstracts of the German sources with focus on technical material.
Novel threshold concepts in the mathematical sciences
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Historical Development of Modern Logic
Modern Logic began in 1879, the year in which Gottlob Frege (1848–1925) published his Begriffsschrift. In less than ninety pages this booklet presented a number of discoveries that changed the face
In 1952, Heinrich Scholz published a question in the Journal of Symbolic Logic asking for a characterization of spectra, i.e., sets of natural numbers that are the cardinalities of finite models of
Logical queries over views: Decidability and expressiveness
The main result is the identification of a decidable class of first-order queries over unary conjunctive views that generalizes the decidability of the classical class offirst-order sentences over unARY relations known as the Löwenheim class.
Decidability vs. undecidability. Logico-philosophico-historical remarks
The aim of the paper is to present the decidability problems from a philosophical and historical perspective as well as to indicate basic mathematical and logical results concerning (un)decidability
Model Theory ( Draft 20 Jul 00 )
In 1954 Alfred Tarski [210] announced that ‘a new branch of metamathematics’ had appeared under the name of the theory of models. The subject grew fast: the Omega Group bibliography of model theory
How Peircean was the “‘Fregean’ revolution” in logic?
The historiography of logic conceives of a Fregean revolution in which modern mathematical logic (also called symbolic logic) has replaced Aristotelian logic. The preeminent expositors of this
Fifty years of the spectrum problem: survey and new results
The present disclosure involves a method of identifying animals involving the use of a universal identification scheme capable of identifying individual animals anywhere in the world such that data