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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...
The Oxford Questions on the foundations of quantum physics
oundations relativity reality measurement collapse Polkinghorne
2016/6/12
The twentieth century saw two fundamental revolutions in physics—relativity and quantum. Daily use of these theories can numb the sense of wonder at their immense empirical success. Does their instrum...
Inertial motion,explanation,and the foundations of classical spacetime theories
Inertial motion geodesic principle general relativity Newton-Cartan theory geometrized Newtonian gravitation explanation puzzle-ball view
2016/5/31
I begin by reviewing some recent work on the status of the geodesic principle in general relativity and the geometrized formulation of Newtonian gravitation. I then turn to the question of whether eit...
Essay Review of David Malament,Topics in the Foundations of General Relativity and Newtonian Gravitation Theory
general relativity Newtonian gravitation theory
2016/5/30
Essay Review of David Malament,Topics in the Foundations of General Relativity and Newtonian Gravitation Theory.
On the role played by the work of Ulisse Dini on implicit function theory in the modern differential geometry foundations:the case of the structure of a differentiable manifold,1
differentiable manifold implicit function immersion theorems
2016/5/30
In this first paper we outline what possible historic-epistemological role might have played the work of Ulisse Dini on implicit function theory in formulating the structure of differentiable manifold...
(Never) Mind your p's and q's:Von Neumann versus Jordan on the Foundations of Quantum Theory
Pascual Jordan John von Neumann transformation theory probability amplitudes canonical transformations Hilbert space spectral theorem
2016/5/30
In early 1927, Pascual Jordan (1927b) published his version of what came to be known as the Dirac-Jordan statistical transformation theory. Later that year and partly in response to Jordan, John von N...
Statistical VS Wave Realism in the Foundations of Quantum Mechanics
quantum realism quantum states wavefunction
2016/5/30
Different realistic attitudes towards wavefunctions and quantum states are as old as quantum theory itself. Recently Pusey, Barret and Rudolph (PBR) on the one hand, and Auletta and Tarozzi (AT) on th...
Predictions and Primitive Ontology in Quantum Foundations:A Study of Examples
quantum theory without observers Ghirardi–Rimini–Weber (GRW) theory of spontaneous wave function collapse Bohmian mechanics many-worlds view of quantum mechanics
2016/5/27
A major disagreement between different views about the foundations of quantum mechanics concerns whether for a theory to be intelligible as a fundamental physical theory it must involve a “primitive o...
This is the first part of a work in progress, which contains Introduction, explaining the whole project, and a chapter on Euclid's "Elements". The idea of the book is to describe foundations in mathem...
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...
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...