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Inductive Approach: Potential, Limitations, and Pragmatics

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Mathematical Foundations of Advanced Informatics

Abstract

In the preceding chapters we saw a definite Best Practice of Informatics: the consistently executed inductive approach, leading from the inductive definition of the objects of study and the formulation of properties we wish to prove about such objects to the concluding proofs that all such objects have these properties. Any deviation from this best practice should be carefully justified. In these concluding sections, we want to discuss the potential as well as the limitations of this best practice of inductive approaches from the point of view of Informatics and its corresponding pragmatics.

God made the integers. Everything else is the work of man.

(Leopold Kronecker)

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Steffen, B., Rüthing, O., Huth, M. (2018). Inductive Approach: Potential, Limitations, and Pragmatics. In: Mathematical Foundations of Advanced Informatics. Springer, Cham. https://doi.org/10.1007/978-3-319-68397-3_6

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  • DOI: https://doi.org/10.1007/978-3-319-68397-3_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68396-6

  • Online ISBN: 978-3-319-68397-3

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