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Shore-Johnson derivation does not fix functional form of entropy

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  • Kim, Minseong

Abstract

In [Phys. Rev. Lett. 111, 180604], [Phys. Rev. E 90, 052149] and [Phys. Rev. E 99, 032134], it is argued that probabilistic inference from functional form of entropy violating the Shore-Johnson axioms is effectively incoherent. We argue this is not true. While the Shore-Johnson derivation of entropy holds even when accounting for existence of circumstances violating the axioms, the derivation relies on an implicit assumption that functional form of entropy be uniform across all circumstances. What one gets out of the Shore-Johnson derivation depends on acceptance of the assumption. We discuss other reasons why the Shore-Johnson derivation is insufficient.

Suggested Citation

  • Kim, Minseong, 2019. "Shore-Johnson derivation does not fix functional form of entropy," OSF Preprints ycx5r, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:ycx5r
    DOI: 10.31219/osf.io/ycx5r
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