Switch to: References

Citations of:

Geometry of Time and Space

Cambridge University Press (1936)

Add citations

You must login to add citations.
  1. Minkowski Spacetime and the Dimensions of the Present.Richard T. W. Arthur - unknown
    In Minkowski spacetime, because of the relativity of simultaneity to the inertial frame chosen, there is no unique world-at-an-instant. Thus the classical view that there is a unique set of events existing now in a three dimensional space cannot be sustained. The two solutions most often advanced are that the four-dimensional structure of events and processes is alone real, and that becoming present is not an objective part of reality; and that present existence is not an absolute notion, but is (...)
    Direct download  
     
    Export citation  
     
    Bookmark   14 citations  
  • Linear Structures, Causal Sets and Topology.Laurenz Hudetz - 2015 - Studies in the History and Philosophy of Modern Physics.
    Causal set theory and the theory of linear structures (which has recently been developed by Tim Maudlin as an alternative to standard topology) share some of their main motivations. In view of that, I raise and answer the question how these two theories are related to each other and to standard topology. I show that causal set theory can be embedded into Maudlin’s more general framework and I characterise what Maudlin’s topological concepts boil down to when applied to discrete linear (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  • On the Gnoseologic Principles of Bertrand Russell.Rafael Andrés Alemañ-Berenguer - 2021 - Naturaleza y Libertad. Revista de Estudios Interdisciplinares.
    Exposed in 1948, within his masterpiece on the scope and limits of human knowledge, the epistemological tenets that Bertrand Russell regarded as fundamental elements in the construction of scientific knowledge, are still worthy of a detailed discussion today. Given the excellence of the author, it will not be surprising to see that Russell's gnoseologic postulates, even for the present scientific view, address some of the most controversial questions still to be solved in the theory of knowledge.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  • Derivation of the Lorentz Transformations From the Constancy of the Speed of Light.Brent Mundy - 1983 - Philosophical Studies 44 (3):291-303.
  • The Dynamical Approach as Practical Geometry.Syman Stevens - 2015 - Philosophy of Science 82 (5):1152-1162.
    This article introduces Harvey Brown and Oliver Pooley’s ‘dynamical approach’ to special relativity, and argues that it may be construed as a relationalist form of Einstein’s ‘practical geometry’. This construal of the dynamical approach is shown to be compatible with related chapters of Brown’s text and also with recent descriptions of the dynamical approach by Pooley and others.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   8 citations  
  • A System of Axioms for Minkowski Spacetime.Lorenzo Cocco & Joshua Babic - 2020 - Journal of Philosophical Logic:1-37.
    We present an elementary system of axioms for the geometry of Minkowski spacetime. It strikes a balance between a simple and streamlined set of axioms and the attempt to give a direct formalization in first-order logic of the standard account of Minkowski spacetime in [Maudlin 2012] and [Malament, unpublished]. It is intended for future use in the formalization of physical theories in Minkowski spacetime. The choice of primitives is in the spirit of [Tarski 1959]: a predicate of betwenness and a (...)
    Direct download (7 more)  
    Translate
     
     
    Export citation  
     
    Bookmark  
  • General Solution to All Philosophical Problems With Some Exceptions.Wayde Beasley - forthcoming - north of parallel 40: Numerous uncommitted.
    Philosophy is unsolved. My forthcoming book sets forth the final resolution, with some exceptions, to this 2,500 year crisis. I am currently close to finishing page 983.
     
    Export citation  
     
    Bookmark  
  • Representation and Invariance of Scientific Structures.Patrick Suppes - 2002 - CSLI Publications (distributed by Chicago University Press).
    An early, very preliminary edition of this book was circulated in 1962 under the title Set-theoretical Structures in Science. There are many reasons for maintaining that such structures play a role in the philosophy of science. Perhaps the best is that they provide the right setting for investigating problems of representation and invariance in any systematic part of science, past or present. Examples are easy to cite. Sophisticated analysis of the nature of representation in perception is to be found already (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   129 citations  
  • Singularities, Black Holes, and Cosmic Censorship: A Tribute to Roger Penrose. [REVIEW]Klaas Landsman - 2021 - Foundations of Physics 51 (2):1-38.
    In the light of his recent Nobel Prize, this pedagogical paper draws attention to a fundamental tension that drove Penrose’s work on general relativity. His 1965 singularity theorem does not in fact imply the existence of black holes. Similarly, his versatile definition of a singular space–time does not match the generally accepted definition of a black hole. To overcome this, Penrose launched his cosmic censorship conjecture, whose evolution we discuss. In particular, we review both his own formulation and its later, (...)
    No categories
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  • An Axiomatic Foundation of Relativistic Spacetime.Thomas Benda - 2015 - Synthese 192 (7):1-16.
    An ab-initio foundation for relativistic spacetime is given, which is a conservative extension of Zermelo’s set theory with urelemente. Primitive entities are worldlines rather than spacetime points. Spacetime points are sets of intersecting worldlines. By the proper axioms, they form a manifold. Entities known in differential geometry, up to a metric, are defined and have the usual properties. A set-realistic point of view is adopted. The intended ontology is a set-theoretical hierarchy with a broad base of the empty set and (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  • Nondirected Light Signals and the Structure of Time.Robert W. Latzer - 1972 - Synthese 24 (1-2):236 - 280.
    Temporal betweenness in space-time is defined solely in terms of light signals, using a signalling relation that does not distinguish between the sender and the receiver of a light signal. Special relativity and general relativity are considered separately, because the latter can be treated only locally. We conclude that the (local) coherence of time can be described if we know only which pairs of space-time points are light-connected. Other consequences in the case of special relativity: (1) a categorical axiom system (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   6 citations  
  • Past, Present, Future, and Special Relativity.Nataša Rakić - 1997 - British Journal for the Philosophy of Science 48 (2):257-280.
    The open future view is the common-sense view that there is an ontological difference between the past, the present, and the future in the sense that the past and the present are real, whereas the future is not yet a part of reality. In this paper we develop a theory in which the open future view is consistently combined with special relativity. Technically, the heart of our contribution is a logical conservativity result showing that, although the open future view is (...)
    Direct download (9 more)  
     
    Export citation  
     
    Bookmark   24 citations  
  • On the Equivalence of Fields of Acceleration and Gravity.Bernard Lavenda - unknown
    The question of whether the same acceleration eld that is found in a rigid uniformly rotating disc can annul a gravitational eld is answered in the negative because their curvatures are dierent. There is an exact correspondence between a uniformly rotating disc and hyperbolic geometry of constant curvature, while, gravitational elds require non-constant, negative curvature. The connection between the two is the free-fall time; the former has constant density while the latter, constant mass. The distortion caused by motion is experienced (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  • A Formal Construction of the Spacetime Manifold.Thomas Benda - 2008 - Journal of Philosophical Logic 37 (5):441 - 478.
    The spacetime manifold, the stage on which physics is played, is constructed ab initio in a formal program that resembles the logicist reconstruction of mathematics. Zermelo’s set theory extended by urelemente serves as a framework, to which physically interpretable proper axioms are added. From this basis, a topology and subsequently a Hausdorff manifold are readily constructed which bear the properties of the known spacetime manifold. The present approach takes worldlines rather than spacetime points to be primitive, having them represented by (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   8 citations  
  • A Minimal Interpretation of General Relativistic Spacetime Geometry.Heinz-Jürgen Schmidt - 1995 - Erkenntnis 42 (2):191 - 202.