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Indeterminism in Physics and Intuitionistic Mathematics

<!--HTML--><p>Physics is formulated in terms of timeless axiomatic mathematics. However, time is essential in all our stories, in particular in physics. For example, to think of an event is to think of something in time. A formulation of physics based of intuitionism, a constructive form...

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Autor principal: Gisin, Nicolas
Lenguaje:eng
Publicado: 2021
Materias:
Acceso en línea:http://cds.cern.ch/record/2753270
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author Gisin, Nicolas
author_facet Gisin, Nicolas
author_sort Gisin, Nicolas
collection CERN
description <!--HTML--><p>Physics is formulated in terms of timeless axiomatic mathematics. However, time is essential in all our stories, in particular in physics. For example, to think of an event is to think of something in time. A formulation of physics based of intuitionism, a constructive form of mathematics built on time-evolving processes, would offer a perspective that is closer to our experience of physical reality and may help bridging the gap between static relativity and quantum indeterminism.<br /> Historically, intuitionistic mathematics was introduced by Brouwer with a very subjectivist view where an idealized mathematician continuously produces new information by solving conjectures. Here, in contrast, I’ll introduce intuitionism as an objective mathematics that incorporates a dynamical/creative time and an open future. Standard mathematics appears as the view from the “end of time” and the usual real numbers appear as the hidden variables of classical physics.&nbsp;</p> <div>&nbsp;</div> <div>Passcode: 262016</div>
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2021
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spelling cern-27532702022-11-02T22:21:11Zhttp://cds.cern.ch/record/2753270engGisin, NicolasIndeterminism in Physics and Intuitionistic MathematicsIndeterminism in Physics and Intuitionistic MathematicsCERN Colloquium<!--HTML--><p>Physics is formulated in terms of timeless axiomatic mathematics. However, time is essential in all our stories, in particular in physics. For example, to think of an event is to think of something in time. A formulation of physics based of intuitionism, a constructive form of mathematics built on time-evolving processes, would offer a perspective that is closer to our experience of physical reality and may help bridging the gap between static relativity and quantum indeterminism.<br /> Historically, intuitionistic mathematics was introduced by Brouwer with a very subjectivist view where an idealized mathematician continuously produces new information by solving conjectures. Here, in contrast, I’ll introduce intuitionism as an objective mathematics that incorporates a dynamical/creative time and an open future. Standard mathematics appears as the view from the “end of time” and the usual real numbers appear as the hidden variables of classical physics.&nbsp;</p> <div>&nbsp;</div> <div>Passcode: 262016</div>oai:cds.cern.ch:27532702021
spellingShingle CERN Colloquium
Gisin, Nicolas
Indeterminism in Physics and Intuitionistic Mathematics
title Indeterminism in Physics and Intuitionistic Mathematics
title_full Indeterminism in Physics and Intuitionistic Mathematics
title_fullStr Indeterminism in Physics and Intuitionistic Mathematics
title_full_unstemmed Indeterminism in Physics and Intuitionistic Mathematics
title_short Indeterminism in Physics and Intuitionistic Mathematics
title_sort indeterminism in physics and intuitionistic mathematics
topic CERN Colloquium
url http://cds.cern.ch/record/2753270
work_keys_str_mv AT gisinnicolas indeterminisminphysicsandintuitionisticmathematics