That is an irrefutable axiom on which there can be no debate.

Property b) is trivial, and property a) is simply a reformulaton of the completeness axiom.

For this reason, separatedness is often used with closed sets (as in the normal separation axiom).

Cole's Axiom The sum of the intelligence on the planet is a constant the population is growing.

It can be applied with care in areas where the consequences of violating Savage s axiom are not too severe.

The European Union may be the sole excep tion to this axiom, though its current crisis tends to prove the point.

The bankers do not seem to have internalized a fundamental axiom of modern finance risk emanates from the assets that a bank holds.

So next, the scientific method an axiom of physics, of all science says you cannot prove a hypothesis through observation, you can only disprove it.

China s incursion reaffirms the ancient strategic axiom that geography is the real determinant of history and, as a result, of foreign and security policy, too.

President Hosni Mubarak of Egypt claims that Shiites are always loyal to Iran, while King Abdullah of Jordan has coined the axiom about a rising Shiite crescent.

The fundamental problem is that a generation of mainstream macroeconomic theorists has come to accept a theory that has an error at its very core the axiom that people are fully rational.

TOKYO When faced with domestic worries, politicians often resort to foreign diversions a simple axiom that is highly useful in assessing the increasingly tense sovereignty disputes in the East and South China Seas.

That axiom is particularly true for the United States today, as it muddles through three wars two of which were forced upon it (Afghanistan and the war on terror ), with the third (Iraq) started unnecessarily by a US administration blinded by ideology and hubris.