In particular, he discovered that, if such a system is ω-consistent i.e., devoid of contradiction in a sense to be explained below—then it is not complete and that, if a system is consistent, then the statement of its consistency, easily expressible in the system, is not provable in it.
But nobody, least of all Coelho, would suggest the oeuvre of the writer, who has sold 145m books worldwide and been translated into 74 languages, is devoid of contradictions.
The only restrictions on this metaphysical system are that all mathematical concepts must be devoid of internal contradiction, and that they follow from existing definitions, axioms, and theorems.
Reprints Related items Climate change: Burning BushJun 14th 2001 George Bush's European tour: A bumpy landingJun 14th 2001 Rage over global warmingApr 5th 2001 Oh no, KyotoApr 5th 2001Mr Bush duly unveiled a new policy this week, but it was at once devoid of substance and full of contradictions.
An immediate corollary is that there can be no vacuum, for that would require an extended region devoid of body a manifest contradiction.
The anxiety of China's political elite to present Deng as devoid of ideology is explained by a contradiction: their desire to hang on to the virtues of the red revolution cannot be squared with capitalism and political pluralism.Daniel Burstein and Arne de Keijzer seem unconcerned about such fundamental questions about China's past and future.
"Israel is full of contradiction.
A perfect plate of contradiction.
Terrorism is a cancer born of a myriad unresolved economic, ethno-cultural, and political/geopolitical contradictions within society -- especially those societies devoid of any democratic heritage, mostly in the Arab-Islamic Middle East and South East Asia.
Gauguin's love of sculpture, which he cultivated intermittently, paradoxically clashed with this adoption of flat expanses of color devoid of relief, and as he made the ultimate escape of his career to Tahiti, the painter kept up the contradiction.
In open contradiction with pharmaceutical equivalence, 53% of 19 generic products and the reference powder (GNT-Sigma) were devoid of therapeutic equivalence.
