Indeterminism in physics and intuitionistic mathematics.
Most physics theories are deterministic, with the notable exception of quantum mechanics which, however, comes plagued by the so-called measurement problem. This state of affairs might well be due to the inability of standard mathematics to "speak" of indeterminism, its inability to present us a wor...
| Publicado en: | Synthese Vol. 199; no. 5/6; pp. 13345 - 13372 |
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| Formato: | Artículo |
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Springer Nature
Dec2021
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=154480417&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 154480417 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00397857 4LI jtl: Synthese issn: 00397857 maglogo: N pubinfo: dt: Dec2021 vid: 199 iid: 5/6 pid: 237 pub: Springer Nature artinfo: ui: 154480417 10.1007/s11229-021-03378-z ppf: 13345 ppct: 27 formats: fmt: @attributes: type: P size: 547KB tig: atl: Indeterminism in physics and intuitionistic mathematics. aug: au: Gisin, Nicolas affil: Group of Applied Physics, University of Geneva, 1211, Geneva 4, Switzerland Schaffhausen Institute of Technology - SIT, Geneva, Switzerland su: Intuitionistic mathematics Heisenberg uncertainty principle Mathematical physics Free will & determinism Quantum mechanics sug: subj: Intuitionistic mathematics Heisenberg uncertainty principle Mathematical physics Free will & determinism Quantum mechanics keyword: Foundation of mathematics Indeterminism Intuitionism ab: Most physics theories are deterministic, with the notable exception of quantum mechanics which, however, comes plagued by the so-called measurement problem. This state of affairs might well be due to the inability of standard mathematics to "speak" of indeterminism, its inability to present us a worldview in which new information is created as time passes. In such a case, scientific determinism would only be an illusion due to the timeless mathematical language scientists use. To investigate this possibility it is necessary to develop an alternative mathematical language that is both powerful enough to allow scientists to compute predictions and compatible with indeterminism and the passage of time. We suggest that intuitionistic mathematics provides such a language and we illustrate it in simple terms. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Synthese is a copyright of Springer, 2021. All Rights Reserved. item: Synthese holder: Springer Nature dt: @attributes: year: 2021 holdings: @attributes: islocal: N |
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