Cosmology and Hilbert's sixth problem

There have been tantalizing indications from many quarters of physical cosmology that we are living in the multiverse - a huge set of cosmological domains ("universes"). What is the structure of this larger whole is an entirely open problem on the interface between physics and met...

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Main Author: Ćirković Milan M.
Format: Article
Language:English
Published: Astronomical Observatory, Department of Astronomy, Belgrade 2020-01-01
Series:Serbian Astronomical Journal
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-698X/2020/1450-698X2000043C.pdf
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author Ćirković Milan M.
author_facet Ćirković Milan M.
author_sort Ćirković Milan M.
collection DOAJ
description There have been tantalizing indications from many quarters of physical cosmology that we are living in the multiverse - a huge set of cosmological domains ("universes"). What is the structure of this larger whole is an entirely open problem on the interface between physics and metaphysics. A goal of the present paper is to draw attention to the connection between this problem and an old and celebrated puzzle in mathematical physics. Among the unresolved problems David Hilbert posed in 1900 as a challenge for the dawning century, none is more philosophically controversial than the Sixth Problem, requiring the axiomatization of physical theories. In the new century and the new millennium, this problem has remained a challenge, usually swept under the rug as "not belonging to mathematics" (as if that impacts its epistemical status) or simply "unresolved". Recent radical ontological/cosmological hypothesis of Max Tegmark, identifying mathematical and physical structures, might shed some new light onto this allegedly antiquated subject: it might be the case that the problem has already been solved, insofar we have formalized mathematical structures! While this can be seen as "cutting the Gordian knot" rather than patiently resolving the issue, we suggest that there are several advantages to taking Tegmark's solution seriously, notably in the domain of (future) physics of the observer. [Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. ON176021: Visible and Invisible Matter in Nearby Galaxies: Theory and Observations and Grant no. ON179048: The Theory and Practice of Science in Society: Multidisciplinary, Educational, and Intergenerational Perspectives]
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spelling doaj.art-0795daa7015d457d955470aff34902c32022-12-22T01:13:25ZengAstronomical Observatory, Department of Astronomy, BelgradeSerbian Astronomical Journal1450-698X1820-92892020-01-012020200434910.2298/SAJ2000043C1450-698X2000043CCosmology and Hilbert's sixth problemĆirković Milan M.0Astronomical Observatory, Belgrade, Serbia + Future of Humanity Institute, Faculty of Philosophy, University of Oxford, Suite, Littlegate House, Oxford, UKThere have been tantalizing indications from many quarters of physical cosmology that we are living in the multiverse - a huge set of cosmological domains ("universes"). What is the structure of this larger whole is an entirely open problem on the interface between physics and metaphysics. A goal of the present paper is to draw attention to the connection between this problem and an old and celebrated puzzle in mathematical physics. Among the unresolved problems David Hilbert posed in 1900 as a challenge for the dawning century, none is more philosophically controversial than the Sixth Problem, requiring the axiomatization of physical theories. In the new century and the new millennium, this problem has remained a challenge, usually swept under the rug as "not belonging to mathematics" (as if that impacts its epistemical status) or simply "unresolved". Recent radical ontological/cosmological hypothesis of Max Tegmark, identifying mathematical and physical structures, might shed some new light onto this allegedly antiquated subject: it might be the case that the problem has already been solved, insofar we have formalized mathematical structures! While this can be seen as "cutting the Gordian knot" rather than patiently resolving the issue, we suggest that there are several advantages to taking Tegmark's solution seriously, notably in the domain of (future) physics of the observer. [Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. ON176021: Visible and Invisible Matter in Nearby Galaxies: Theory and Observations and Grant no. ON179048: The Theory and Practice of Science in Society: Multidisciplinary, Educational, and Intergenerational Perspectives]http://www.doiserbia.nb.rs/img/doi/1450-698X/2020/1450-698X2000043C.pdfhistory and philosophy of astronomycosmology: theoryastrobiology
spellingShingle Ćirković Milan M.
Cosmology and Hilbert's sixth problem
Serbian Astronomical Journal
history and philosophy of astronomy
cosmology: theory
astrobiology
title Cosmology and Hilbert's sixth problem
title_full Cosmology and Hilbert's sixth problem
title_fullStr Cosmology and Hilbert's sixth problem
title_full_unstemmed Cosmology and Hilbert's sixth problem
title_short Cosmology and Hilbert's sixth problem
title_sort cosmology and hilbert s sixth problem
topic history and philosophy of astronomy
cosmology: theory
astrobiology
url http://www.doiserbia.nb.rs/img/doi/1450-698X/2020/1450-698X2000043C.pdf
work_keys_str_mv AT cirkovicmilanm cosmologyandhilbertssixthproblem