Criticism
Attempts to logically prove the parallel postulate, rather than the eighth axiom, were criticized by Schopenhauer, as described in Schopenhauer's criticism of the proofs of the Parallel Postulate. However, the argument used by Schopenhauer was that the postulate is evident by perception, not that it was not a logical consequence of the other axioms.
Read more about this topic: Parallel Postulate
Famous quotes containing the word criticism:
“...I wasn’t at all prepared for the avalanche of criticism that overwhelmed me. You would have thought I had murdered someone, and perhaps I had, but only to give her successor a chance to live. It was a very sad business indeed to be made to feel that my success depended solely, or at least in large part, on a head of hair.”
—Mary Pickford (1893–1979)
“To be just, that is to say, to justify its existence, criticism should be partial, passionate and political, that is to say, written from an exclusive point of view, but a point of view that opens up the widest horizons.”
—Charles Baudelaire (1821–1867)
“Cubism had been an analysis of the object and an attempt to put it before us in its totality; both as analysis and as synthesis, it was a criticism of appearance. Surrealism transmuted the object, and suddenly a canvas became an apparition: a new figuration, a real transfiguration.”
—Octavio Paz (b. 1914)