Results 141 to 150 of about 6,972,214 (183)
Some of the next articles are maybe not open access.
Journal of Symbolic Logic, 1967
We are concerned here with the set theory given in [1], which we call BL (Bernays-Levy). This theory can be given an elegant syntactical presentation which allows most of the usual axioms to be deduced from the reflection principle. However, it is more convenient here to take the usual Von Neumann-Bernays set theory [3] as a starting point, and to ...
openaire +1 more source
We are concerned here with the set theory given in [1], which we call BL (Bernays-Levy). This theory can be given an elegant syntactical presentation which allows most of the usual axioms to be deduced from the reflection principle. However, it is more convenient here to take the usual Von Neumann-Bernays set theory [3] as a starting point, and to ...
openaire +1 more source
International Journal of Theoretical Physics, 2003
The formulation of quantum physics in terms of lattice theory, as introduced by Birkhoff and von Neumann, represents a system of quantum physics as a Hilbert space whose elements correspond to physical states while propositions correspond to closed subspaces of the Hilbert space.
Titani, Satoko, Kozawa, Haruhiko
openaire +1 more source
The formulation of quantum physics in terms of lattice theory, as introduced by Birkhoff and von Neumann, represents a system of quantum physics as a Hilbert space whose elements correspond to physical states while propositions correspond to closed subspaces of the Hilbert space.
Titani, Satoko, Kozawa, Haruhiko
openaire +1 more source
Studia Logica, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
2021
Abstract The chapter is a concise, practical presentation of the basics of set theory. The topics include set equivalence, countability, partially ordered, linearly ordered, and well-ordered sets, the axiom of choice, and Zorn’s lemma, as well as cardinal numbers and cardinal arithmetic.
Iqbal H. Jebril, Hemen Dutta, Ilwoo Cho
openaire +2 more sources
Abstract The chapter is a concise, practical presentation of the basics of set theory. The topics include set equivalence, countability, partially ordered, linearly ordered, and well-ordered sets, the axiom of choice, and Zorn’s lemma, as well as cardinal numbers and cardinal arithmetic.
Iqbal H. Jebril, Hemen Dutta, Ilwoo Cho
openaire +2 more sources
The Bulletin of Symbolic Logic, 2014
Paul Erdős (26 March 1913—20 September 1996) was a mathematicianpar excellencewhose results and initiatives have had a large impact and made a strong imprint on the doing of and thinking about mathematics. A mathematician of alacrity, detail, and collaboration, Erdős in his six decades of work moved and thought quickly, entertained increasingly many ...
openaire +1 more source
Paul Erdős (26 March 1913—20 September 1996) was a mathematicianpar excellencewhose results and initiatives have had a large impact and made a strong imprint on the doing of and thinking about mathematics. A mathematician of alacrity, detail, and collaboration, Erdős in his six decades of work moved and thought quickly, entertained increasingly many ...
openaire +1 more source
Mathematical Logic Quarterly, 1984
It is proved that the axiom schemes for \textit{H. L. Skala's} set theory [Z. Math. Logik Grundlagen Math. 20, 233-237 (1974; Zbl 0301.02072)] are equivalent to the existence of the union and the intersection of all sets satisfying an arbitrary predicate.
openaire +2 more sources
It is proved that the axiom schemes for \textit{H. L. Skala's} set theory [Z. Math. Logik Grundlagen Math. 20, 233-237 (1974; Zbl 0301.02072)] are equivalent to the existence of the union and the intersection of all sets satisfying an arbitrary predicate.
openaire +2 more sources
Learning Theory and Descriptive Set Theory
Journal of Logic and Computation, 1993Kevin T. Kelly. Learning Theory and Descriptive Set Theory.
openaire +2 more sources
The Rough Sets Theory and Evidence Theory
Fundamenta Informaticae, 1990The aim of the paper is to show some connections between the rough sets theory and the Dempser-Shafer approach. We prove that for every Pawlak’s approximation space there exists a Dempster-Shafer space with the qualities of the lower and upper approximations of sets in the approximation space equal to the credibility and plausibility of sets in the ...
openaire +2 more sources
Set Theory with a Universal Set
1995Abstract Set theory is concerned with the foundation of mathematics. In the original formulations of set theory, there were paradoxes contained in the idea of the "set of all sets". Current standard theory (Zermelo-Fraenkel) avoids these paradoxes by restricting the way sets may be formed by other sets, specifically to disallow the ...
openaire +1 more source
Poly(ADP-Ribose) polymerase (PARP) inhibitors: Exploiting a synthetic lethal strategy in the clinic
Ca-A Cancer Journal for Clinicians, 2011Timothy A Yap, Johann Sebastian de Bono
exaly