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Otto Hölder’s Interpretation of David Hilbert’s Axiomatic Method
Published 2013-03-01“…My reconstruction focuses on Hölder’s critical assessment of David Hilbert’s account of axiomatics in general, and of Hilbert’s conception of metamathematics in particular. …”
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Intuición y método axiomático en la concepción temprana de la geometría de David Hilbert
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Pro and Contra Hilbert: Zermelo’s Set Theories
Published 2005-08-01“…They correspond to two specific periods of research on the foundations of mathematics by David Hilbert and his collaborators in Göttingen. In the first period Hilbert elaborated his early axiomatic program, and Zermelo’s work is clearly along the lines proposed by Hilbert, it is pro Hilbert. …”
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Le concept d’espace chez Veronese
Published 2009-10-01“…Giuseppe Veronese is known for his studies on spaces with more dimensions; less known are his “philosophical” writings, that concern the foundations of geometry and mathematics and explain the reasons for constructing a non-Archimedean geometry (several years before David Hilbert’s Grundlagen) and the formulation of a concept of continuity that admits infinitely big and small quantities. …”
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Understanding Mathematical Logic and its Applications /
Published 2012“…In the early 20th century it was shaped by David Hilbert's program to provide the consistency of foundational theories. …”
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The Hilbert Edition: What is it and what is it good for?
Published 2010-04-01“…The Mathematical Institute (MI) of the University of Göttingen and the Niedersächsische Staats- und Universitätsbibliothek (SUB) together possess an impressive collection of documents by David Hilbert, perhaps the most important mathematicians of the period 1885-1930, and a very significant mathematical physicist. …”
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"Mysteries" of Modern Physics and the Fundamental Constants c, h, and G
Published 2022-06-01“…It is well known that Minkowski and Einstein were greatly influenced by David Hilbert in their development of special relativity and general relativity, respectively, but relating those theories to quantum mechanics via its non-Boolean Hilbert space kinematics is perhaps surprising. …”
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Simple experimental realization of optical Hilbert Hotel using scalar and vector fractional vortex beams
Published 2023-06-01“…This view changed in the 1800s through the pioneering work of Georg Cantor, who showed that infinite sets follow their own seemingly paradoxical mathematical rules. In 1924, David Hilbert highlighted the strangeness of infinity through a thought experiment now referred to as the Hilbert Hotel paradox, or simply Hilbert’s Hotel. …”
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