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Hilbert’s Grundlagen

  • Meighan I. Dillon
Chapter

Abstract

Hilbert’s goal in studying The Elements was to sort out the objects Euclid considered, the assumptions about them, and the relationships among them, all while respecting standards of rigor as recognized by the mathematics community of the late nineteenth century. Hilbert sought a description of the foundations of Euclidean geometry that would yield all the familiar theorems: The system had to be complete. The axioms could not contradict one another: The system had to be consistent. No axiom could follow from any combination of the others: The axioms had to be independent.

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© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsKennesaw State UniversityMariettaUSA

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