In a text published by the great Hilbert, called the Foundations of Geometry, in 1899. He proposed a special set, called Hilbert’s axioms, substituting for the traditional axioms of the Euclid. What it did was that it avoided the specified weaknesses that is stated in that of Euclid. Euclids work was world renown and used as textbooks everywhere. The axioms used are hard to comprehend due to the history of the publications. This approach in the use of axioms created a shift the signaled a new era to the new modern axiomatic method. What was mostly descired by using axioms is that there used to avoid infinite regress in geometry due to axioms itslef not being self evident this hsould have denied it but it was able to fit perfectly into geometry. Since geometry deals with physical objects axioms was able to work with it. This was really needed so geometry can go forward since what it did was it unified both the plane geometry and solid geometry of the great Euclid in a single living
In a text published by the great Hilbert, called the Foundations of Geometry, in 1899. He proposed a special set, called Hilbert’s axioms, substituting for the traditional axioms of the Euclid. What it did was that it avoided the specified weaknesses that is stated in that of Euclid. Euclids work was world renown and used as textbooks everywhere. The axioms used are hard to comprehend due to the history of the publications. This approach in the use of axioms created a shift the signaled a new era to the new modern axiomatic method. What was mostly descired by using axioms is that there used to avoid infinite regress in geometry due to axioms itslef not being self evident this hsould have denied it but it was able to fit perfectly into geometry. Since geometry deals with physical objects axioms was able to work with it. This was really needed so geometry can go forward since what it did was it unified both the plane geometry and solid geometry of the great Euclid in a single living