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Euler's Königsberg : the explanatory power of mathematics

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2018

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https://doi.org/10.1007/s13194-017-0189-x
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European Journal for Philosophy of Science. 2018, 8(3), pp. 331-346. ISSN 1879-4912. eISSN 1879-4920. Available under: doi: 10.1007/s13194-017-0189-x

Zusammenfassung

The present paper provides an analysis of Euler’s solutions to the Königsberg bridges problem. Euler proposes three different solutions to the problem, addressing their strengths and weaknesses along the way. I put the analysis of Euler’s paper to work in the philosophical discussion on mathematical explanations. I propose that the key ingredient to a good explanation is the degree to which it provides relevant information. Providing relevant information is based on knowledge of the structure in question, graphs in the present case. I also propose computational complexity and logical strength as measures of relevant information.

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Fachgebiet (DDC)
100 Philosophie

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Computational complexity, Königsberg bridges problem, Mathematical explanation, Leonhard Euler

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ISO 690RÄZ, Tim, 2018. Euler's Königsberg : the explanatory power of mathematics. In: European Journal for Philosophy of Science. 2018, 8(3), pp. 331-346. ISSN 1879-4912. eISSN 1879-4920. Available under: doi: 10.1007/s13194-017-0189-x
BibTex
@article{Raz2018-10Euler-45154,
  year={2018},
  doi={10.1007/s13194-017-0189-x},
  title={Euler's Königsberg : the explanatory power of mathematics},
  number={3},
  volume={8},
  issn={1879-4912},
  journal={European Journal for Philosophy of Science},
  pages={331--346},
  author={Räz, Tim}
}
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