axiomatically

I'm trying to move away from the idea that the old is axiomatically worse than the new.

Axiomatically, it is impossible to stop a hostile ship in space.

All of these logical systems can also be defined axiomatically, as is shown in the next section.

The synthetic approach axiomatically defines the real number system as a complete ordered field.

Axiomatically, such towns cost more than a typical subdivision.

The fall of Communism did not axiomatically mean the rise of democracy.

Dance is, axiomatically, the most ephemeral of art forms, expiring the moment it comes into being.

Euclidean geometry can be axiomatically described in several ways.

Recent results show that these properties can be derived axiomatically, from the symmetries of the global evolution.

In this case, chain complexes are studied axiomatically as algebraic structures.

Axiomatically, a great power must be prudent.

In particular, social choice theoretic methods are often used to describe and (axiomatically) analyze the performance of rules or institutions.

An alternative treatment is to axiomatically introduce the wedge product, and then demonstrate that this can be used directly to solve linear systems.

The hyperreals can be developed either axiomatically or by more constructively oriented methods.

Finite geometries can also be defined purely axiomatically.

When a restaurant knows that it is, almost axiomatically, regarded as being beyond criticism, it often acts that way.

Making movies is hard: bad movies, axiomatically, are as hard to make as good ones.

Intelligence axiomatically means standards of differentiation.

A related group is the collineation group, which is defined axiomatically.

Some fallibilists make an exception for things that are axiomatically true (such as mathematical and logical knowledge).

Techniques were supposed to be synthetic: in effect projective space as now understood was to be introduced axiomatically.

Moreover, the argument assumes panpsychism away as axiomatically false.

Only a religion with millions of practitioners trying to kill Americans and Jews is axiomatically described as "peaceful" by liberals.

Möbius planes can be described axiomatically and exist in both finite and infinite versions.