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On the hypotheses which lie at the bases of geometry

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Nature, VIII (183, 184): 14-17, 36, 37 (мая 1873)doi:10.1038/008014a0.

Аннотация

Plan of the Investigation. It is known that geometry assumes, as things given, both the notion of space and the first principles of constructions in space. She gives definitions of them which are merely nominal, while the true determinations appear in the form of axioms. The relation of these assumptions remains consequently in darkness; we neither perceive whether and how far their connection is necessary, nor a priori, whether it is possible.

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