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6. This book discusses all the effort in proving Euclid's Parallel
Postulate was in vain. And concludes with this statement:
"Of course, we say this, we are assuming the consistency
of the venerable Euclidean geometry. Had Saccheri, Legendre, F. Bolyai,
or any of the other dozens of other scholars succeeded in proving
Euclid V from Euclid's other axioms, with the notable
intention of making Euclidean geometry more secure and elegant, they would
have instead completely destroyed
Euclidean geometry as a
body of thought."
Explain what is meant by the bold statement.
Be the first to answer this question.