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Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles: the axioms of geometry.
Hilbert attempts to choose for Geometry a simple and complete set of independent axioms and to deduce from these the most important geometrical theorems so.
This problem is tantamount to the logical analysis of our intuition of space.
The choice of axioms and their relations to one another is a problem which, has been discussed since the time of Euclid.
Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles: the axioms of geometry
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