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The Adolescence of Relativity: Einstein, Minkowski, and the Philosophy of Space and Time
operationalism Einstein Minkowski simultaneity conventionalism
2009/9/16
An often repeated account of the genesis of special relativity tells us that relativity theory was to a considerable extent the fruit of an operationalist philosophy of science. Indeed, Einstein’s 190...
the relativity of hyperbolic space
hyperbolic geometry Doppler shift and cross ratio uniformly accelerated systems
2009/4/3
Paths of shortest length, or geodesics, may not appear as straight lines because acceleration creates distortion. For spaces of constant curvature there are only two possibilities: Either rulers get l...
This presentation will investigate the parts of space, and its relationship with metrical structure, in Newton’s natural philosophy. The historical background to Newton’s claims will form an important...
Newton, the Parts of Space, and Spacetime Structuralism
Newton, space and time, structuralism, Early Modern physics
2011/9/8
This essay will investigate the interrelationship between the parts of space and topological and metrical structure in Newton’s natural philosophy, as well as its influence in contemporary spacetime d...
Newton's Metaphysics of Space: A "Tertium Quid" Betwixt Substantivalism and relationism, or merely a "God of the (Rational Mechanical) Gaps"?
Space and Time, Newton, physics
2011/9/8
This paper investigates the question of, and the degree to which, Newton’s theory of space constitutes a third-way between the traditional substantivalist and relationist ontologies, i.e., that Newton...
This paper investigates Newton’s ontology of space in order to determine its commitment, if any, to both Cambridge neo-Platonism, which posits an incorporeal basis for space, and substantivalism, whic...
Probability theory and causation.A branching space-times analysis
branching space-times causation probabilities screening-off
2008/4/22
We provide a formally rigorous framework for integrating singular causation, as understood by Nuel Belnap's theory of causae causantes, and objective single case probabilities. The central notion is t...
Funny business in branching space-times:Infinite modal correlations
branching space-times indeterminism
2008/4/14
The theory of branching space-times is designed as a rigorous framework for modelling indeterminism in a relativistically sound way. In that framework there is room for ``funny business'', i.e., modal...
A theory of causation: causae causantes (originating causes) as inus conditions in branching space-times
causation indeterminism inus conditions
2008/4/9
Branching space-times (BST) theory, as developed elsewhere,
permits a sound and rigorously definable notion of
``originating cause'' or causa causans---a type of
transition event---of an outcome ev...
Coordination of Space and Unity of Science
geometry unification disunity of science foundationalism
2008/4/1
In this essay, I explore a metaphor in geometry for the debate between the unity and the disunity of science, namely, the possibility of putting a global coordinate system (or a chart) on a manifold. ...
The Fate of Mathematical Place: Objectivity and the Theory of Lived-Space from Husserl to Casey
place lived-space objectivity invariance
2008/3/31
This essay explores theories of place, or lived-space, as regards the role of objectivity and the problem of relativism. As will be argued, the neglect of mathematics and geometry by the lived-space t...
On the Completion and Generalization of Intuitive Space in Der Raum: Husserlian and Drieschian Elements
Carnap Raum Driesch Husserl intuitive space Anschauungsraum
2008/3/31
The paper focuses on some puzzles about Carnap's intended epistemological point in the "completion" and "generalization" of the Anschauungsraum in sec. II of Der Raum (leaving aside the technical prob...
'Husserl's and Carnap's Theories of Space'
Husserl Carnap epistemology phenomenology space theory geometry perception
2008/3/31
Usually we do not connect theoretical approaches that of Edmund Husserl and of Rudolf Carnap. The fact of writing by Carnap some of his early works under the strong influence of the founder of phenome...
This paper investigates Newton’s ontology of space in order to determine its commitment, if any, to both neo-Platonism, which posits an incorporeal basis for space, and substantivalism, which regards ...
Newton's Metaphysics of Space: A “Tertium Quid” betwixt Substantivalism and Relationism, or merely A “God of the (Rational Mechanical) Gaps”?
Newton space force substantivalism relationism Cambridge neo-Platonism
2008/3/31
This paper investigates the question of, and the degree to which, Newton’s theory of space constitutes a third-way between the traditional substantivalist and relationist ontologies, i.e., that Newton...