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(1995) From Dedekind to Gödel, Dordrecht, Springer.
In a 1900 paper entitled "On the Number Concept", the formalist mathematician David Hilbert proposed a set of axioms from which he hoped arithmetic might be derived. The last of these axioms was an "Axiom of Completeness" stipulating that: "It is not possible to adjoin to the system of numbers any collection of things so that in the combined collection the preceding axioms are satisfied; that is, briefly put, the numbers form a system of objects which cannot be enlarged with the preceding axioms continuing to hold."1
Publication details
DOI: 10.1007/978-94-015-8478-4_7
Full citation:
Ortiz Hill, C. (1995)., Husserl and Hilbert on completeness, in J. Hintikka (ed.), From Dedekind to Gödel, Dordrecht, Springer, pp. 143-163.
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