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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao https://doi.org/10.1...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
https://doi.org/10.1007/978-94...
Part of book or chapter of book . 1997 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
https://doi.org/10.1007/978-3-...
Part of book or chapter of book . 1994 . Peer-reviewed
Data sources: Crossref
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The Mathematical Overdetermination of Physics

Authors: Erhard Scheibe;

The Mathematical Overdetermination of Physics

Abstract

You are fully entitled not to know what I mean by the “mathematical overdetermination of physics”. As a first approximation to such an understanding I would like to remind you of the related though different so-called theoretical overdetermination of a corpus of observational data. Just as a physical theory often exhibits an unnecessary rich structure when compared with the observational data to be explained by it, so the mathematics introduced to formulate a physical theory frequently brings a wealth of structures into play that cannot be matched by the physical elements of that theory. One might even be tempted to identify the two cases. But the distinction between theoretical and observational terms, on which the second overdetermination is based, is generally different from the distinction between mathematical and physical terms. Theoretical terms may be intended to have physical referents, though unobservable ones. By contrast, mathematical terms occurring in a physical theory may be meant to have no physical interpretation within this theory. Yet there are structural similarities between the two cases. In both we find ourselves deluded in the expectation that for a precise reformulation of an informally given corpus of statements only two things have to be considered: (1) the concepts characteristic for the corpus in question, and (2) the logical notions binding together those concepts. Rather a third component has to be taken into account.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
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