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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...
Reconstructing Hilbert to Construct Category Theoretic Structuralism
Category theory mathematical structuralism Hilbert Shapiro
2009/9/16
This paper considers the nature and role of axioms from the point of view of the current debates about the status of category theory and, in particular, in relation to the “algebraic” approach to math...
How Metaphysical is "Deepening the Foundations"? - Hahn and Frank on Hilbert's Axiomatic Method
David Hilbert Vienna Circle Hans Hahn Philipp Frank
2008/3/31
Only recently, David Hilbert's program to axiomatize the sciences according to the pattern of geometry has left the shade of his formalist program in the foundations of mathematics. This relative negl...
Hilbert's program then and now
Hilbert's program philosophy of mathematics proof theory finitism
2008/3/31
Hilbert’s program was an ambitious and wide-ranging project in the philosophy and foundations of mathematics. In order to “dispose of the foundational questions in mathematics once and for all,” Hilbe...
How Metaphysical is "Deepening the Foundations"? - Hahn and Frank on Hilbert's Axiomatic Method
David Hilbert, Vienna Circle, Hans Hahn, Philipp Frank, axiomatic method, Principle of Least Action
2011/9/8
Only recently, David Hilbert's program to axiomatize the sciences according to the pattern of geometry has left the shade of his formalist program in the foundations of mathematics. This relative negl...