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Furthermore, Ayer amongst other philosophers have shown that Kant was incorrect in assuming Euclidean geometry was a priori and held factual content about physical space i.e. is synthetic,[[CiteRef::Ayer (1952)||pp. 45-46]] as the discovery of non-Euclidean geometry and application by Einstein in his general theory of relativity disproved of this entirely. Consequently, philosophers now see that axioms of geometry do not “hold factual content”, but are merely definitions. This criticism directly dismantles Kant’s a priori form of space as a necessary precondition for rationalising the world.
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