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cr 
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140122  eng 
020 


a 9789401724227

100 
1 

a Dvurecenskij, Anatolij

245 
0 
0 
a New Trends in Quantum Structures
h Elektronische Ressource
c by Anatolij Dvurecenskij, Sylvia Pulmannová

250 


a 1st ed. 2000

260 


a Dordrecht
b Springer Netherlands
c 2000, 2000

300 


a XVI, 542 p
b online resource

505 
0 

a 1 Dposets and Effect Algebras  2 MValgebras and QMValgebras  3 Quotients of Partial Abelian Monoids  4 Tensor Product of DPosets and Effect Algebras  5 BCKalgebras  6 BCKalgebras in Applications  7 LoomisSikorski Theorems for MValgebras and BCKalgebras  Index of Symbols

653 


a Applied mathematics

653 


a Quantum Physics

653 


a Engineering mathematics

653 


a Mathematical logic

653 


a Mathematical Logic and Foundations

653 


a Applications of Mathematics

653 


a Quantum physics

653 


a Algebra

653 


a Order, Lattices, Ordered Algebraic Structures

653 


a Ordered algebraic structures

700 
1 

a Pulmannová, Sylvia
e [author]

710 
2 

a SpringerLink (Online service)

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0 
7 
a eng
2 ISO 6392

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b SBA
a Springer Book Archives 2004

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0 

a Mathematics and Its Applications

856 


u https://doi.org/10.1007/9789401724227?nosfx=y
x Verlag
3 Volltext

082 
0 

a 511.33

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a D. Hilbert, in his famous program, formulated many open mathematical problems which were stimulating for the development of mathematics and a fruitful source of very deep and fundamental ideas. During the whole 20th century, mathematicians and specialists in other fields have been solving problems which can be traced back to Hilbert's program, and today there are many basic results stimulated by this program. It is sure that even at the beginning of the third millennium, mathematicians will still have much to do. One of his most interesting ideas, lying between mathematics and physics, is his sixth problem: To find a few physical axioms which, similar to the axioms of geometry, can describe a theory for a class of physical events that is as large as possible. We try to present some ideas inspired by Hilbert's sixth problem and give some partial results which may contribute to its solution. In the Thirties the situation in both physics and mathematics was very interesting. A.N. Kolmogorov published his fundamental work Grundbegriffe der Wahrschein lichkeitsrechnung in which he, for the first time, axiomatized modern probability theory. From the mathematical point of view, in Kolmogorov's model, the set L of ex perimentally verifiable events forms a Boolean aalgebra and, by the LoomisSikorski theorem, roughly speaking can be represented by a aalgebra S of subsets of some nonvoid set n
