# Even Hilbert Nods

## Related Articles

- Frege on Consistency and Conceptual Analysis. BLANCHETTE, PATRICIA A. // Philosophia Mathematica;Oct2007, Vol. 15 Issue 3, p321
Gottlob Frege famously rejects the methodology for consistency and independence proofs offered by David Hilbert in the latter's Foundations of Geometry. The present essay defends against recent criticism the view that this rejection turns on Frege's understanding of logical entailment, on which...

- Hilbert, logicism, and mathematical existence. Ferreirós, José // Synthese;Sep2009, Vol. 170 Issue 1, p33
David Hilbertâ€™s early foundational views, especially those corresponding to the 1890s, are analysed here. I consider strong evidence for the fact that Hilbert was a logicist at that time, following upon Dedekindâ€™s footsteps in his understanding of pure mathematics. This insight...

- De la matemÃ¡tica clÃ¡sica a la matemÃ¡tica moderna: Hilbert y el esquematismo kantiano. ALCARAZ, CARLOS TORRES // DiÃ¡noia;nov2009, Vol. 54 Issue 63, p37
This essay examines the manner in which Hilbert worked out his first formalism in his investigations on the foundations of geometry. To elucidate these views, Hilbert's position is compared with that of Kant, who set forth a constructive notion of "geometrical objects" which endured in the...

- Metaphysical Notes Concerning Hilbert and His Studies on Non-Euclidean and Non-Archimedean Geometries. Casanova G., Carlos Augusto // Teorema;2006, Vol. 25 Issue 2, p73
This paper intends to show that the way in which Hilbert's "Foundations of Geometry" demonstrates the independence of geometric axioms implies neither that geometry and its axioms are merely conventional nor that Euclidian geometry has been absolutely defeated nor that the human mind can be...

- â€œUNA IMAGEN DE LA REALIDAD GEOMÃ‰TRICA": LA CONCEPCIÃ“N AXIOMÃTICA DE LA GEOMETRÃA DE HILBERT A LA LUZ DE LA BILDTHEORIE DE HEINRICH HERTZ. GIOVANNINI, EDUARDO N. // CrÃtica;Aug2012, Vol. 44 Issue 131, p27
The paper outlines an interpretation of David Hilbert's early axiomatic approach to geometry, i.e., the one developed between 1891 and 1905. It is argued that several aspects of this approach, which could be initially seen as problematic, can be better understood when Hilbert's view is...

- MINKOWSKI IN Kï¿½NIGSBERG 1884: A TALK IN LINDEMANN'S COLLOQUIUM. Schwermer, Joachim // Bulletin (New Series) of the American Mathematical Society;Apr2010, Vol. 47 Issue 2, p355
Information of the mathematical-physico seminar held at the University of Kï¿½nigsberg in Prussia in May 1884 is presented. It outlines the reforms in the German educational system and their influence on scientific education. It focuses on the career of authors David Hilbert and Hermann...

- The limits of mathematics. // History of Science & Technology;2004, p512
The article discusses the development of mathematics. The calculus worked but its foundation was nearly inexplicable. In the 19th century, however, mathematics provides a logical framework based on simple arithmetic and geometry. Mathematicians called the new foundation rigor. It seemed possible...

- David Hilbert. David Hilbert's lectures on the foundations of geometry, 1891—1902. Michael Hallett and Ulrich Majer, eds. David Hilbert's Foundational Lectures; 1. Berlin: Springer-Verlag, 2004. ISBN 3-540-64373-7. Pp. xxviii + 661â€ . Pambuccian, Victor // Philosophia Mathematica;Jun2013, Vol. 21 Issue 2, p255
The article reviews the book "David Hilbert's Lectures on the Foundations of Geometry 1891-1902" by David Hilbert and edited by Michael Hallett and Ulrich Majer.

- The ultimate jigsaw puzzle. Stewart, Ian // New Scientist;4/13/91, Vol. 130 Issue 1764, p30
Examines mathematical problems involving area and volume and specifically addresses the problem posed by Alfred Tarski in 1925 which asks if a circle can be reconstructed to form a square. The ancient Greeks and 'squaring the circle'; Differences between Tarski's problem and the classical...