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Definability in the real universe - MaRDI portal

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Definability in the real universe (Q2906565)

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scientific article; zbMATH DE number 6077602
Language Label Description Also known as
English
Definability in the real universe
scientific article; zbMATH DE number 6077602

    Statements

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    5 September 2012
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    definability
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    computability
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    Turing computability
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    real-world computability
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    informational universe
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    emergence
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    math.LO
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    physics.hist-ph
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    Definability in the real universe (English)
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    Starting with the observation that ``the logic has its origins in basic questions about the nature of the real world and how we describe it'', this article addresses the following fundamental questions: ``How do scientists represent and establish control over information about the universe? How does the universe itself exercise control over its own development?'' and: ``How can we reflect that control via our scientific and mathematical representations?'' A central notion is definability, that is ``what we can describe in terms of what we are given in a particular language''. It is argued that computability is on the way to regain the real-world significance by structuring ``the informational world of science'' on different levels of information organization.NEWLINENEWLINEFor the entire collection see [Zbl 1235.03005].
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