David Hilbert is considered one of the most notable mathematicians. His research is now essential and fundamental in several branches of mathematic...
David Hilbert is considered one of the most notable mathematicians. His research is now essential and fundamental in several branches of mathematics. He described a system of axioms completing Euclidean plane and spatial geometry, a great reference in the history of mathematics, as it organizes the foundations and analysis into groups. Which of the following options presents the correct sequence of Hilbert's axioms? Axioms of I. Axioms of Order II. Axioms of III. Axioms of IV. Axioms of V. Axiom of Parallels.
A) Only options II, III, and V are correct. B) Options I, III, and IV are correct. C) Only option IV is correct. D) Only options II, III, and IV are correct. E) Only options II, III, and IV are correct.
A sequência correta dos axiomas de Hilbert é a seguinte:
I. Axiomas de Incidência
II. Axiomas de Ordem
III. Axiomas de Congruência
IV. Axiomas de Paralelismo
V. Axioma de Continuidade
Portanto, a alternativa correta é a letra D) Apenas as opções II, III e IV estão corretas.
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