Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 adverb In an
elementary way.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 adverb in an elementary manner
Etymologies
from Wiktionary, Creative Commons Attribution/ShareAlike License
Examples

Hence, mathematical logic suggests that the application of mathematical physics to the universe as a whole can generate two different types of multiverse: classes of nonisomorphic but elementarily equivalent models; and classes of nonisomorphic and elementarily inequivalent models.

Recalling that a complete theory T is one in which any sentence s, or its negation Not (s), belongs to the theory T, it follows that every model of a complete theory must be elementarily equivalent.

The class of models of a complete theory will be mutually nonisomorphic, but they will nevertheless be elementarily equivalent.

Whilst isomorphic models must be elementarily equivalent, there is no need for elementarily equivalent models to be isomorphic.

In this case, the models of the theory will be mutually nonisomorphic and elementarily inequivalent.

Two models of a theory are defined to be elementarily equivalent if they share the same truthvalues for all the sentences of the language.

Recalling that a complete theory T is one in which any sentence s, or its negation Not (s), belongs to the theory T, it follows that every model of a complete theory must be elementarily equivalent.

(In the case of a complete theory, the models of different cardinality will be elementarily equivalent, even if they are nonisomorphic).

Whilst isomorphic models must be elementarily equivalent, there is no need for elementarily equivalent models to be isomorphic.

Hence, mathematical logic suggests that the application of mathematical physics to the universe as a whole can generate two different types of multiverse: classes of nonisomorphic but elementarily equivalent models; and classes of nonisomorphic and elementarily inequivalent models.
oroboros commented on the word elementarily
Sounds like the letters L M N T R L E.
May 17, 2008