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Completitud y continuidad en Fundamentos de la geometría de Hilbert:acerca del Vollständigkeitsaxiom (Completeness and Continuity in Hilbert’s Foundations of Geometry:on the Vollstandigkeitsaxiom)
Hilbert geometría euclídea axioma de completitud axiomas de continuidad metodo axiomático filosofía de la geometría Euclidean geometry axiom of completeness continuity axioms axiomatic method philosophy of geometry
2016/6/13
El artículo documenta y analiza las vicisitudes en torno a la incorporación de Hilbert de su famoso axioma de completitud, en el sistema axiomático para la geometría euclídea. Esta tarea es emprendida...
Incompatibility of standard completeness and quantum mechanics
Quantum mechanics completeness trace formula
2016/5/30
The completeness of quantum mechanics (QM) is generally interpreted to be or entail the following conditional statement (called standard completeness (SC)): If a QM system S is in a pure non-eigenstat...
Continuity and logical completeness: an application of sheaf theory and topoi
topos topoi sheaf theory sheaves
2008/4/10
The notion of a continuously variable quantity can be regarded as a generalization of that of a particular (constant) quantity, and the properties of such quantities are then akin to, and derived from...
Completeness and Categoricty, Part II: 20th Century Metalogic to 21st Century Semantics
axiomatic method
2008/4/10
This paper is the second in a two-part series in which we discuss several notions of completeness for systems of mathematical axioms, with special focus on their interrelations and historical origins ...
Completeness and Categoricity, Part I: 19th Century Axiomatics to 20th Century Metalogic
Categoricity Completeness
2008/4/10
This paper is the first in a two-part series in which we discuss several notions of completeness for systems of mathematical axioms, with special focus on their interrelations and historical origins i...