David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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Synthese 24 (1-2):298 - 316 (1972)
This article is concerned to formulate some open problems in the philosophy of space and time that require methods characteristic of mathematical traditions in the foundations of geometry for their solution. In formulating the problems an effort has been made to fuse the separate traditions of the foundations of physics on the one hand and the foundations of geometry on the other. The first part of the paper deals with two classical problems in the geometry of space, that of giving operationalism an exact foundation in the case of the measurement of spatial relations, and that of providing an adequate theory of approximation and error in a geometrical setting. The second part is concerned with physical space and space-time and deals mainly with topics concerning the axiomatic theory of bodies, the operational foundations of special relativity and the conceptual foundations of elementary physics.
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References found in this work BETA
Alfred Tarski (1956). Logic, Semantics, Metamathematics. Oxford, Clarendon Press.
Alfred North Whitehead (1920/2004). The Concept of Nature. Prometheus Books.
Dana Scott & Patrick Suppes (1958). Foundational Aspects of Theories of Measurement. Journal of Symbolic Logic 23 (2):113-128.
Alfred North Whitehead (1925/1982). An Enquiry Concerning the Principles of Natural Knowledge. Dover.
Andrzej Grzegorczyk (1955). The Systems of Leśniewski in Relation to Contemporary Logical Research. Studia Logica 3 (1):77-95.
Citations of this work BETA
Laurenz Hudetz (2015). Linear Structures, Causal Sets and Topology. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52:294-308.
Colleen Crangle & Patrick Suppes (1989). Geometrical Semantics for Spatial Prepositions. Midwest Studies in Philosophy 14 (1):399-422.
Gergely Székely (2010). A Geometrical Characterization of the Twin Paradox and its Variants. Studia Logica 95 (1/2):161 - 182.
Hugh M. Lacey & Elizabeth Anderson (1980). Spatial Ontology and Physical Modalities. Philosophical Studies 38 (3):261 - 285.
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Yvon Gauthier (2005). Hermann Weyl on Minkowskian Space-Time and Riemannian Geometry. International Studies in the Philosophy of Science 19 (3):261 – 269.
Patrick Suppes (1973). Space, Time and Geometry. Boston,Reidel.
Tim Maudlin (2010). Time, Topology and Physical Geometry. Aristotelian Society Supplementary Volume 84 (1):63-78.
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