Publikation:

On Representations of Intended Structures in Foundational Theories

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Barton_2-xhioppk93fb62.pdf
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Datum

2022

Autor:innen

Müller, Moritz
Prunescu, Mihai

Herausgeber:innen

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URI (zitierfähiger Link)
http://nbn-resolving.de/urn:nbn:de:bsz:352-2-xhioppk93fb62
DOI (zitierfähiger Link)
https://doi.org/10.1007/s10992-021-09628-2
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Urheberrechtlich geschützt

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European Union (EU): 648276

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Open Access-Veröffentlichung
Open Access Hybrid

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Philosophie: Publikationen
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Published

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Journal of Philosophical Logic. Springer. 2022, 51(2), pp. 283-296. ISSN 0022-3611. eISSN 1573-0433. Available under: doi: 10.1007/s10992-021-09628-2

Zusammenfassung

Often philosophers, logicians, and mathematicians employ a notion of intended structure when talking about a branch of mathematics. In addition, we know that there are foundational mathematical theories that can find representatives for the objects of informal mathematics. In this paper, we examine how faithfully foundational theories can represent intended structures, and show that this question is closely linked to the decidability of the theory of the intended structure. We argue that this sheds light on the trade-off between expressive power and meta-theoretic properties when comparing first-order and second-order logic.

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Fachgebiet (DDC)
100 Philosophie

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ISO 690BARTON, Neil, Moritz MÜLLER, Mihai PRUNESCU, 2022. On Representations of Intended Structures in Foundational Theories. In: Journal of Philosophical Logic. Springer. 2022, 51(2), pp. 283-296. ISSN 0022-3611. eISSN 1573-0433. Available under: doi: 10.1007/s10992-021-09628-2
BibTex
@article{Barton2022-04Repre-54556,
  year={2022},
  doi={10.1007/s10992-021-09628-2},
  title={On Representations of Intended Structures in Foundational Theories},
  number={2},
  volume={51},
  issn={0022-3611},
  journal={Journal of Philosophical Logic},
  pages={283--296},
  author={Barton, Neil and Müller, Moritz and Prunescu, Mihai}
}
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